diff --git a/.gitlab-ci.yml b/.gitlab-ci.yml index bfe8e85e25ce00e23a6de1e9b4566095427e6b85..0486f567014bf8b5e109f3e9cbc953312e468cf5 100644 --- a/.gitlab-ci.yml +++ b/.gitlab-ci.yml @@ -1,5 +1,5 @@ default: - image: rboman/waves-py3:2020.3 + image: rboman/waves-py3:2022.0 before_script: # Instal pip - wget -q https://bootstrap.pypa.io/get-pip.py @@ -10,6 +10,8 @@ default: - git checkout tags/v2.1.0 - INCLUDE=${INCLUDE}:${PWD}/include - cd .. + # Install TACS + # ... # Install SDPM # TODO change branch, enable CoDiPack - wget -q https://gitlab.uliege.be/am-dept/sdpm/-/archive/adri/sdpm-adri.tar.bz2 @@ -22,15 +24,16 @@ default: - make install -j8 - cd ../.. # Install PyPK - - wget -q https://gitlab.uliege.be/am-dept/pypk/-/archive/master/pypk-master.tar.bz2 - - tar xf pypk-master.tar.bz2 - - rm pypk-master.tar.bz2 - - mv pypk-master pypk + # TODO change branch + - wget -q https://gitlab.uliege.be/am-dept/pypk/-/archive/adri/pypk-adri.tar.bz2 + - tar xf pypk-adri.tar.bz2 + - rm pypk-adri.tar.bz2 + - mv pypk-adri pypk - cd pypk - python3 -m pip install . - cd .. # Install OpenMDAO - - python3 -m pip install openmdao + - python3 -m pip install 'openmdao<3.35' .global_tag: &global_tag_def tags: diff --git a/README.md b/README.md index 2b5218139537b8354c429d5a21e35ea7ac3bf630..838cd26a1d1dbec56a8c062f79eb2b7c6f33003f 100644 --- a/README.md +++ b/README.md @@ -2,4 +2,4 @@ OMFlut is a collection of tools to perform flutter analysis and flutter-constrained optimization calculations using [OpenMDAO](https://openmdao.org/). The package is written in Python and developed at the University of Liège. ## Documentation -Detailed build and use instructions can be found in the [wiki](https://gitlab.uliege.be/am-dept/pypk/wikis/home). +Detailed build and use instructions can be found in the [wiki](https://gitlab.uliege.be/am-dept/omflut/wikis/home). diff --git a/examples/data/agard445.bdf b/examples/data/agard445.bdf new file mode 100644 index 0000000000000000000000000000000000000000..e4bc84f812518d3fcdb6c172488358682f5ed927 --- /dev/null +++ b/examples/data/agard445.bdf @@ -0,0 +1,2093 @@ +$pyNastran: version=msc +$pyNastran: punch=True +$pyNastran: encoding=utf-8 +$pyNastran: nnodes=441 +$pyNastran: nelements=400 +$NODES +GRID* 1 0.0000000000D+000.0000000000D+00 +* 0.0000000000D+00 +GRID* 2 2.7950000000D-020.0000000000D+00 +* 0.0000000000D+00 +GRID* 3 5.5900000000D-020.0000000000D+00 +* 0.0000000000D+00 +GRID* 4 8.3850000000D-020.0000000000D+00 +* 0.0000000000D+00 +GRID* 5 1.1180000000D-010.0000000000D+00 +* 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0.0000000000D+00 +GRID* 379 7.2877731750D-016.8580000000D-01 +* 0.0000000000D+00 +GRID* 380 7.4813185400D-016.8580000000D-01 +* 0.0000000000D+00 +GRID* 381 7.6748639050D-016.8580000000D-01 +* 0.0000000000D+00 +GRID* 382 7.8684092700D-016.8580000000D-01 +* 0.0000000000D+00 +GRID* 383 8.0619546350D-016.8580000000D-01 +* 0.0000000000D+00 +GRID* 384 8.2555000000D-016.8580000000D-01 +* 0.0000000000D+00 +GRID* 385 8.4490453650D-016.8580000000D-01 +* 0.0000000000D+00 +GRID* 386 8.6425907300D-016.8580000000D-01 +* 0.0000000000D+00 +GRID* 387 8.8361360950D-016.8580000000D-01 +* 0.0000000000D+00 +GRID* 388 9.0296814600D-016.8580000000D-01 +* 0.0000000000D+00 +GRID* 389 9.2232268250D-016.8580000000D-01 +* 0.0000000000D+00 +GRID* 390 9.4167721900D-016.8580000000D-01 +* 0.0000000000D+00 +GRID* 391 9.6103175550D-016.8580000000D-01 +* 0.0000000000D+00 +GRID* 392 9.8038629200D-016.8580000000D-01 +* 0.0000000000D+00 +GRID* 393 9.9974082850D-016.8580000000D-01 +* 0.0000000000D+00 +GRID* 394 1.0190953650D+006.8580000000D-01 +* 0.0000000000D+00 +GRID* 395 1.0384499015D+006.8580000000D-01 +* 0.0000000000D+00 +GRID* 396 1.0578044380D+006.8580000000D-01 +* 0.0000000000D+00 +GRID* 397 1.0771589745D+006.8580000000D-01 +* 0.0000000000D+00 +GRID* 398 1.0965135110D+006.8580000000D-01 +* 0.0000000000D+00 +GRID* 399 1.1158680475D+006.8580000000D-01 +* 0.0000000000D+00 +GRID* 400 7.6926494625D-017.2390000000D-01 +* 0.0000000000D+00 +GRID* 401 7.8814195700D-017.2390000000D-01 +* 0.0000000000D+00 +GRID* 402 8.0701896775D-017.2390000000D-01 +* 0.0000000000D+00 +GRID* 403 8.2589597850D-017.2390000000D-01 +* 0.0000000000D+00 +GRID* 404 8.4477298925D-017.2390000000D-01 +* 0.0000000000D+00 +GRID* 405 8.6365000000D-017.2390000000D-01 +* 0.0000000000D+00 +GRID* 406 8.8252701075D-017.2390000000D-01 +* 0.0000000000D+00 +GRID* 407 9.0140402150D-017.2390000000D-01 +* 0.0000000000D+00 +GRID* 408 9.2028103225D-017.2390000000D-01 +* 0.0000000000D+00 +GRID* 409 9.3915804300D-017.2390000000D-01 +* 0.0000000000D+00 +GRID* 410 9.5803505375D-017.2390000000D-01 +* 0.0000000000D+00 +GRID* 411 9.7691206450D-017.2390000000D-01 +* 0.0000000000D+00 +GRID* 412 9.9578907525D-017.2390000000D-01 +* 0.0000000000D+00 +GRID* 413 1.0146660860D+007.2390000000D-01 +* 0.0000000000D+00 +GRID* 414 1.0335430967D+007.2390000000D-01 +* 0.0000000000D+00 +GRID* 415 1.0524201075D+007.2390000000D-01 +* 0.0000000000D+00 +GRID* 416 1.0712971182D+007.2390000000D-01 +* 0.0000000000D+00 +GRID* 417 1.0901741290D+007.2390000000D-01 +* 0.0000000000D+00 +GRID* 418 1.1090511397D+007.2390000000D-01 +* 0.0000000000D+00 +GRID* 419 1.1279281505D+007.2390000000D-01 +* 0.0000000000D+00 +GRID* 420 1.1468051612D+007.2390000000D-01 +* 0.0000000000D+00 +GRID* 421 8.0975257500D-017.6200000000D-01 +* 0.0000000000D+00 +GRID* 422 8.2815206000D-017.6200000000D-01 +* 0.0000000000D+00 +GRID* 423 8.4655154500D-017.6200000000D-01 +* 0.0000000000D+00 +GRID* 424 8.6495103000D-017.6200000000D-01 +* 0.0000000000D+00 +GRID* 425 8.8335051500D-017.6200000000D-01 +* 0.0000000000D+00 +GRID* 426 9.0175000000D-017.6200000000D-01 +* 0.0000000000D+00 +GRID* 427 9.2014948500D-017.6200000000D-01 +* 0.0000000000D+00 +GRID* 428 9.3854897000D-017.6200000000D-01 +* 0.0000000000D+00 +GRID* 429 9.5694845500D-017.6200000000D-01 +* 0.0000000000D+00 +GRID* 430 9.7534794000D-017.6200000000D-01 +* 0.0000000000D+00 +GRID* 431 9.9374742500D-017.6200000000D-01 +* 0.0000000000D+00 +GRID* 432 1.0121469100D+007.6200000000D-01 +* 0.0000000000D+00 +GRID* 433 1.0305463950D+007.6200000000D-01 +* 0.0000000000D+00 +GRID* 434 1.0489458800D+007.6200000000D-01 +* 0.0000000000D+00 +GRID* 435 1.0673453650D+007.6200000000D-01 +* 0.0000000000D+00 +GRID* 436 1.0857448500D+007.6200000000D-01 +* 0.0000000000D+00 +GRID* 437 1.1041443350D+007.6200000000D-01 +* 0.0000000000D+00 +GRID* 438 1.1225438200D+007.6200000000D-01 +* 0.0000000000D+00 +GRID* 439 1.1409433050D+007.6200000000D-01 +* 0.0000000000D+00 +GRID* 440 1.1593427900D+007.6200000000D-01 +* 0.0000000000D+00 +GRID* 441 1.1777422750D+007.6200000000D-01 +* 0.0000000000D+00 +$ELEMENTS +$ Shell element data for family ELEM.1/T=0.005836970730690712 +CQUAD4* 1 1 1 2 +* 23 22 +$ Shell element data for family ELEM.2/T=0.011882920841725562 +CQUAD4* 2 2 2 3 +* 24 23 +$ Shell element data for family ELEM.3/T=0.014865439849674606 +CQUAD4* 3 3 3 4 +* 25 24 +$ Shell element data for family ELEM.4/T=0.016942329832820142 +CQUAD4* 4 4 4 5 +* 26 25 +$ Shell element data for family ELEM.5/T=0.018774274962866176 +CQUAD4* 5 5 5 6 +* 27 26 +$ Shell element data for family ELEM.6/T=0.020362655778990574 +CQUAD4* 6 6 6 7 +* 28 27 +$ Shell element data for family ELEM.7/T=0.021530920316965248 +CQUAD4* 7 7 7 8 +* 29 28 +$ Shell element data for family ELEM.8/T=0.022153251742792725 +CQUAD4* 8 8 8 9 +* 30 29 +$ Shell element data for family ELEM.9/T=0.022218636590028554 +CQUAD4* 9 9 9 10 +* 31 30 +$ Shell element data for family ELEM.10/T=0.021802802149679085 +CQUAD4* 10 10 10 11 +* 32 31 +$ Shell element data for family ELEM.11/T=0.021004856011288507 +CQUAD4* 11 11 11 12 +* 33 32 +$ Shell element data for family ELEM.12/T=0.019889825203543512 +CQUAD4* 12 12 12 13 +* 34 33 +$ Shell element data for family ELEM.13/T=0.018462656832453 +CQUAD4* 13 13 13 14 +* 35 34 +$ Shell element data for family ELEM.14/T=0.0166836065648798 +CQUAD4* 14 14 14 15 +* 36 35 +$ Shell element data for family ELEM.15/T=0.014519305754903579 +CQUAD4* 15 15 15 16 +* 37 36 +$ Shell element data for family ELEM.16/T=0.012008162460260728 +CQUAD4* 16 16 16 17 +* 38 37 +$ Shell element data for family ELEM.17/T=0.009303116045776308 +CQUAD4* 17 17 17 18 +* 39 38 +$ Shell element data for family ELEM.18/T=0.006639129520445897 +CQUAD4* 18 18 18 19 +* 40 39 +$ Shell element data for family ELEM.19/T=0.004157168204555745 +CQUAD4* 19 19 19 20 +* 41 40 +$ Shell element data for family ELEM.20/T=0.0015007777729690033 +CQUAD4* 20 20 20 21 +* 42 41 +$ Shell element data for family ELEM.21/T=0.00573638684793845 +CQUAD4* 21 21 22 23 +* 44 43 +$ Shell element data for family ELEM.22/T=0.011678151900463953 +CQUAD4* 22 22 23 24 +* 45 44 +$ Shell element data for family ELEM.23/T=0.014609275526108854 +CQUAD4* 23 23 24 25 +* 46 45 +$ Shell element data for family ELEM.24/T=0.016650376112974628 +CQUAD4* 24 24 25 26 +* 47 46 +$ Shell element data for family ELEM.25/T=0.018450752786937738 +CQUAD4* 25 25 26 27 +* 48 47 +$ Shell element data for family ELEM.26/T=0.020011762297440377 +CQUAD4* 26 26 27 28 +* 49 48 +$ Shell element data for family ELEM.27/T=0.02115989506009306 +CQUAD4* 27 27 28 29 +* 50 49 +$ Shell element data for family ELEM.28/T=0.02177150234251524 +CQUAD4* 28 28 29 30 +* 51 50 +$ Shell element data for family ELEM.29/T=0.021835760464586323 +CQUAD4* 29 29 30 31 +* 52 51 +$ Shell element data for family ELEM.30/T=0.02142709176902508 +CQUAD4* 30 30 31 32 +* 53 52 +$ Shell element data for family ELEM.31/T=0.020642896002964532 +CQUAD4* 31 31 32 33 +* 54 53 +$ Shell element data for family ELEM.32/T=0.01954707963592963 +CQUAD4* 32 32 33 34 +* 55 54 +$ Shell element data for family ELEM.33/T=0.018144504524378817 +CQUAD4* 33 33 34 35 +* 56 55 +$ Shell element data for family ELEM.34/T=0.016396111217715677 +CQUAD4* 34 34 35 36 +* 57 56 +$ Shell element data for family ELEM.35/T=0.014269106085404352 +CQUAD4* 35 35 36 37 +* 58 57 +$ Shell element data for family ELEM.36/T=0.011801235329613621 +CQUAD4* 36 36 37 38 +* 59 58 +$ Shell element data for family ELEM.37/T=0.009142802832509891 +CQUAD4* 37 37 38 39 +* 60 59 +$ Shell element data for family ELEM.38/T=0.006524722672086972 +CQUAD4* 38 38 39 40 +* 61 60 +$ Shell element data for family ELEM.39/T=0.004085531025176059 +CQUAD4* 39 39 40 41 +* 62 61 +$ Shell element data for family ELEM.40/T=0.0014749160610437058 +CQUAD4* 40 40 41 42 +* 63 62 +$ Shell element data for family ELEM.41/T=0.0056358029651861884 +CQUAD4* 41 41 43 44 +* 65 64 +$ Shell element data for family ELEM.42/T=0.011473382959202347 +CQUAD4* 42 42 44 45 +* 66 65 +$ Shell element data for family ELEM.43/T=0.014353111202543104 +CQUAD4* 43 43 45 46 +* 67 66 +$ Shell element data for family ELEM.44/T=0.016358422393129117 +CQUAD4* 44 44 46 47 +* 68 67 +$ Shell element data for family ELEM.45/T=0.0181272306110093 +CQUAD4* 45 45 47 48 +* 69 68 +$ Shell element data for family ELEM.46/T=0.01966086881589018 +CQUAD4* 46 46 48 49 +* 70 69 +$ Shell element data for family ELEM.47/T=0.02078886980322088 +CQUAD4* 47 47 49 50 +* 71 70 +$ Shell element data for family ELEM.48/T=0.021389752942237758 +CQUAD4* 48 48 50 51 +* 72 71 +$ Shell element data for family ELEM.49/T=0.021452884339144097 +CQUAD4* 49 49 51 52 +* 73 72 +$ Shell element data for family ELEM.50/T=0.021051381388371076 +CQUAD4* 50 50 52 53 +* 74 73 +$ Shell element data for family ELEM.51/T=0.020280935994640564 +CQUAD4* 51 51 53 54 +* 75 74 +$ Shell element data for family ELEM.52/T=0.019204334068315745 +CQUAD4* 52 52 54 55 +* 76 75 +$ Shell element data for family ELEM.53/T=0.017826352216304638 +CQUAD4* 53 53 55 56 +* 77 76 +$ Shell element data for family ELEM.54/T=0.01610861587055156 +CQUAD4* 54 54 56 57 +* 78 77 +$ Shell element data for family ELEM.55/T=0.014018906415905127 +CQUAD4* 55 55 57 58 +* 79 78 +$ Shell element data for family ELEM.56/T=0.011594308198966513 +CQUAD4* 56 56 58 59 +* 80 79 +$ Shell element data for family ELEM.57/T=0.008982489619243476 +CQUAD4* 57 57 59 60 +* 81 80 +$ Shell element data for family ELEM.58/T=0.006410315823728047 +CQUAD4* 58 58 60 61 +* 82 81 +$ Shell element data for family ELEM.59/T=0.004013893845796372 +CQUAD4* 59 59 61 62 +* 83 82 +$ Shell element data for family ELEM.60/T=0.0014490543491184086 +CQUAD4* 60 60 62 63 +* 84 83 +$ Shell element data for family ELEM.61/T=0.005535219082433927 +CQUAD4* 61 61 64 65 +* 86 85 +$ Shell element data for family ELEM.62/T=0.011268614017940739 +CQUAD4* 62 62 65 66 +* 87 86 +$ Shell element data for family ELEM.63/T=0.014096946878977352 +CQUAD4* 63 63 66 67 +* 88 87 +$ Shell element data for family ELEM.64/T=0.016066468673283603 +CQUAD4* 64 64 67 68 +* 89 88 +$ Shell element data for family ELEM.65/T=0.017803708435080865 +CQUAD4* 65 65 68 69 +* 90 89 +$ Shell element data for family ELEM.66/T=0.019309975334339986 +CQUAD4* 66 66 69 70 +* 91 90 +$ Shell element data for family ELEM.67/T=0.0204178445463487 +CQUAD4* 67 67 70 71 +* 92 91 +$ Shell element data for family ELEM.68/T=0.021008003541960273 +CQUAD4* 68 68 71 72 +* 93 92 +$ Shell element data for family ELEM.69/T=0.02107000821370187 +CQUAD4* 69 69 72 73 +* 94 93 +$ Shell element data for family ELEM.70/T=0.020675671007717073 +CQUAD4* 70 70 73 74 +* 95 94 +$ Shell element data for family ELEM.71/T=0.01991897598631659 +CQUAD4* 71 71 74 75 +* 96 95 +$ Shell element data for family ELEM.72/T=0.018861588500701867 +CQUAD4* 72 72 75 76 +* 97 96 +$ Shell element data for family ELEM.73/T=0.01750819990823045 +CQUAD4* 73 73 76 77 +* 98 97 +$ Shell element data for family ELEM.74/T=0.015821120523387435 +CQUAD4* 74 74 77 78 +* 99 98 +$ Shell element data for family ELEM.75/T=0.013768706746405904 +CQUAD4* 75 75 78 79 +* 100 99 +$ Shell element data for family ELEM.76/T=0.011387381068319406 +CQUAD4* 76 76 79 80 +* 101 100 +$ Shell element data for family ELEM.77/T=0.00882217640597706 +CQUAD4* 77 77 80 81 +* 102 101 +$ Shell element data for family ELEM.78/T=0.006295908975369124 +CQUAD4* 78 78 81 82 +* 103 102 +$ Shell element data for family ELEM.79/T=0.003942256666416687 +CQUAD4* 79 79 82 83 +* 104 103 +$ Shell element data for family ELEM.80/T=0.0014231926371931114 +CQUAD4* 80 80 83 84 +* 105 104 +$ Shell element data for family ELEM.81/T=0.0054346351996816655 +CQUAD4* 81 81 85 86 +* 107 106 +$ Shell element data for family ELEM.82/T=0.011063845076679131 +CQUAD4* 82 82 86 87 +* 108 107 +$ Shell element data for family ELEM.83/T=0.013840782555411602 +CQUAD4* 83 83 87 88 +* 109 108 +$ Shell element data for family ELEM.84/T=0.015774514953438096 +CQUAD4* 84 84 88 89 +* 110 109 +$ Shell element data for family ELEM.85/T=0.01748018625915243 +CQUAD4* 85 85 89 90 +* 111 110 +$ Shell element data for family ELEM.86/T=0.01895908185278979 +CQUAD4* 86 86 90 91 +* 112 111 +$ Shell element data for family ELEM.87/T=0.02004681928947652 +CQUAD4* 87 87 91 92 +* 113 112 +$ Shell element data for family ELEM.88/T=0.020626254141682787 +CQUAD4* 88 88 92 93 +* 114 113 +$ Shell element data for family ELEM.89/T=0.020687132088259643 +CQUAD4* 89 89 93 94 +* 115 114 +$ Shell element data for family ELEM.90/T=0.02029996062706307 +CQUAD4* 90 90 94 95 +* 116 115 +$ Shell element data for family ELEM.91/T=0.01955701597799262 +CQUAD4* 91 91 95 96 +* 117 116 +$ Shell element data for family ELEM.92/T=0.018518842933087983 +CQUAD4* 92 92 96 97 +* 118 117 +$ Shell element data for family ELEM.93/T=0.017190047600156272 +CQUAD4* 93 93 97 98 +* 119 118 +$ Shell element data for family ELEM.94/T=0.015533625176223316 +CQUAD4* 94 94 98 99 +* 120 119 +$ Shell element data for family ELEM.95/T=0.01351850707690668 +CQUAD4* 95 95 99 100 +* 121 120 +$ Shell element data for family ELEM.96/T=0.0111804539376723 +CQUAD4* 96 96 100 101 +* 122 121 +$ Shell element data for family ELEM.97/T=0.008661863192710643 +CQUAD4* 97 97 101 102 +* 123 122 +$ Shell element data for family ELEM.98/T=0.006181502127010199 +CQUAD4* 98 98 102 103 +* 124 123 +$ Shell element data for family ELEM.99/T=0.0038706194870370015 +CQUAD4* 99 99 103 104 +* 125 124 +$ Shell element data for family ELEM.100/T=0.0013973309252678142 +CQUAD4* 100 100 104 105 +* 126 125 +$ Shell element data for family ELEM.101/T=0.005334051316929403 +CQUAD4* 101 101 106 107 +* 128 127 +$ Shell element data for family ELEM.102/T=0.010859076135417523 +CQUAD4* 102 102 107 108 +* 129 128 +$ Shell element data for family ELEM.103/T=0.013584618231845851 +CQUAD4* 103 103 108 109 +* 130 129 +$ Shell element data for family ELEM.104/T=0.015482561233592582 +CQUAD4* 104 104 109 110 +* 131 130 +$ Shell element data for family ELEM.105/T=0.017156664083223992 +CQUAD4* 105 105 110 111 +* 132 131 +$ Shell element data for family ELEM.106/T=0.018608188371239592 +CQUAD4* 106 106 111 112 +* 133 132 +$ Shell element data for family ELEM.107/T=0.01967579403260434 +CQUAD4* 107 107 112 113 +* 134 133 +$ Shell element data for family ELEM.108/T=0.020244504741405305 +CQUAD4* 108 108 113 114 +* 135 134 +$ Shell element data for family ELEM.109/T=0.020304255962817413 +CQUAD4* 109 109 114 115 +* 136 135 +$ Shell element data for family ELEM.110/T=0.019924250246409064 +CQUAD4* 110 110 115 116 +* 137 136 +$ Shell element data for family ELEM.111/T=0.01919505596966865 +CQUAD4* 111 111 116 117 +* 138 137 +$ Shell element data for family ELEM.112/T=0.0181760973654741 +CQUAD4* 112 112 117 118 +* 139 138 +$ Shell element data for family ELEM.113/T=0.016871895292082086 +CQUAD4* 113 113 118 119 +* 140 139 +$ Shell element data for family ELEM.114/T=0.015246129829059197 +CQUAD4* 114 114 119 120 +* 141 140 +$ Shell element data for family ELEM.115/T=0.013268307407407455 +CQUAD4* 115 115 120 121 +* 142 141 +$ Shell element data for family ELEM.116/T=0.010973526807025192 +CQUAD4* 116 116 121 122 +* 143 142 +$ Shell element data for family ELEM.117/T=0.008501549979444228 +CQUAD4* 117 117 122 123 +* 144 143 +$ Shell element data for family ELEM.118/T=0.0060670952786512754 +CQUAD4* 118 118 123 124 +* 145 144 +$ Shell element data for family ELEM.119/T=0.0037989823076573156 +CQUAD4* 119 119 124 125 +* 146 145 +$ Shell element data for family ELEM.120/T=0.001371469213342517 +CQUAD4* 120 120 125 126 +* 147 146 +$ Shell element data for family ELEM.121/T=0.005233467434177141 +CQUAD4* 121 121 127 128 +* 149 148 +$ Shell element data for family ELEM.122/T=0.010654307194155914 +CQUAD4* 122 122 128 129 +* 150 149 +$ Shell element data for family ELEM.123/T=0.0133284539082801 +CQUAD4* 123 123 129 130 +* 151 150 +$ Shell element data for family ELEM.124/T=0.015190607513747068 +CQUAD4* 124 124 130 131 +* 152 151 +$ Shell element data for family ELEM.125/T=0.016833141907295554 +CQUAD4* 125 125 131 132 +* 153 152 +$ Shell element data for family ELEM.126/T=0.0182572948896894 +CQUAD4* 126 126 132 133 +* 154 153 +$ Shell element data for family ELEM.127/T=0.019304768775732156 +CQUAD4* 127 127 133 134 +* 155 154 +$ Shell element data for family ELEM.128/T=0.019862755341127823 +CQUAD4* 128 128 134 135 +* 156 155 +$ Shell element data for family ELEM.129/T=0.019921379837375186 +CQUAD4* 129 129 135 136 +* 157 156 +$ Shell element data for family ELEM.130/T=0.01954853986575506 +CQUAD4* 130 130 136 137 +* 158 157 +$ Shell element data for family ELEM.131/T=0.01883309596134468 +CQUAD4* 131 131 137 138 +* 159 158 +$ Shell element data for family ELEM.132/T=0.017833351797860216 +CQUAD4* 132 132 138 139 +* 160 159 +$ Shell element data for family ELEM.133/T=0.016553742984007903 +CQUAD4* 133 133 139 140 +* 161 160 +$ Shell element data for family ELEM.134/T=0.014958634481895076 +CQUAD4* 134 134 140 141 +* 162 161 +$ Shell element data for family ELEM.135/T=0.01301810773790823 +CQUAD4* 135 135 141 142 +* 163 162 +$ Shell element data for family ELEM.136/T=0.010766599676378084 +CQUAD4* 136 136 142 143 +* 164 163 +$ Shell element data for family ELEM.137/T=0.00834123676617781 +CQUAD4* 137 137 143 144 +* 165 164 +$ Shell element data for family ELEM.138/T=0.0059526884302923515 +CQUAD4* 138 138 144 145 +* 166 165 +$ Shell element data for family ELEM.139/T=0.00372734512827763 +CQUAD4* 139 139 145 146 +* 167 166 +$ Shell element data for family ELEM.140/T=0.0013456075014172198 +CQUAD4* 140 140 146 147 +* 168 167 +$ Shell element data for family ELEM.141/T=0.005132883551424878 +CQUAD4* 141 141 148 149 +* 170 169 +$ Shell element data for family ELEM.142/T=0.010449538252894304 +CQUAD4* 142 142 149 150 +* 171 170 +$ Shell element data for family ELEM.143/T=0.013072289584714347 +CQUAD4* 143 143 150 151 +* 172 171 +$ Shell element data for family ELEM.144/T=0.014898653793901553 +CQUAD4* 144 144 151 152 +* 173 172 +$ Shell element data for family ELEM.145/T=0.016509619731367116 +CQUAD4* 145 145 152 153 +* 174 173 +$ Shell element data for family ELEM.146/T=0.0179064014081392 +CQUAD4* 146 146 153 154 +* 175 174 +$ Shell element data for family ELEM.147/T=0.018933743518859972 +CQUAD4* 147 147 154 155 +* 176 175 +$ Shell element data for family ELEM.148/T=0.019481005940850338 +CQUAD4* 148 148 155 156 +* 177 176 +$ Shell element data for family ELEM.149/T=0.019538503711932956 +CQUAD4* 149 149 156 157 +* 178 177 +$ Shell element data for family ELEM.150/T=0.019172829485101055 +CQUAD4* 150 150 157 158 +* 179 178 +$ Shell element data for family ELEM.151/T=0.018471135953020704 +CQUAD4* 151 151 158 159 +* 180 179 +$ Shell element data for family ELEM.152/T=0.017490606230246335 +CQUAD4* 152 152 159 160 +* 181 180 +$ Shell element data for family ELEM.153/T=0.01623559067593372 +CQUAD4* 153 153 160 161 +* 182 181 +$ Shell element data for family ELEM.154/T=0.014671139134730955 +CQUAD4* 154 154 161 162 +* 183 182 +$ Shell element data for family ELEM.155/T=0.012767908068409006 +CQUAD4* 155 155 162 163 +* 184 183 +$ Shell element data for family ELEM.156/T=0.010559672545730977 +CQUAD4* 156 156 163 164 +* 185 184 +$ Shell element data for family ELEM.157/T=0.008180923552911393 +CQUAD4* 157 157 164 165 +* 186 185 +$ Shell element data for family ELEM.158/T=0.0058382815819334275 +CQUAD4* 158 158 165 166 +* 187 186 +$ Shell element data for family ELEM.159/T=0.003655707948897944 +CQUAD4* 159 159 166 167 +* 188 187 +$ Shell element data for family ELEM.160/T=0.0013197457894919221 +CQUAD4* 160 160 167 168 +* 189 188 +$ Shell element data for family ELEM.161/T=0.005032299668672616 +CQUAD4* 161 161 169 170 +* 191 190 +$ Shell element data for family ELEM.162/T=0.010244769311632694 +CQUAD4* 162 162 170 171 +* 192 191 +$ Shell element data for family ELEM.163/T=0.012816125261148597 +CQUAD4* 163 163 171 172 +* 193 192 +$ Shell element data for family ELEM.164/T=0.014606700074056043 +CQUAD4* 164 164 172 173 +* 194 193 +$ Shell element data for family ELEM.165/T=0.016186097555438678 +CQUAD4* 165 165 173 174 +* 195 194 +$ Shell element data for family ELEM.166/T=0.017555507926589 +CQUAD4* 166 166 174 175 +* 196 195 +$ Shell element data for family ELEM.167/T=0.01856271826198779 +CQUAD4* 167 167 175 176 +* 197 196 +$ Shell element data for family ELEM.168/T=0.019099256540572852 +CQUAD4* 168 168 176 177 +* 198 197 +$ Shell element data for family ELEM.169/T=0.019155627586490726 +CQUAD4* 169 169 177 178 +* 199 198 +$ Shell element data for family ELEM.170/T=0.018797119104447053 +CQUAD4* 170 170 178 179 +* 200 199 +$ Shell element data for family ELEM.171/T=0.018109175944696732 +CQUAD4* 171 171 179 180 +* 201 200 +$ Shell element data for family ELEM.172/T=0.01714786066263245 +CQUAD4* 172 172 180 181 +* 202 201 +$ Shell element data for family ELEM.173/T=0.015917438367859534 +CQUAD4* 173 173 181 182 +* 203 202 +$ Shell element data for family ELEM.174/T=0.014383643787566833 +CQUAD4* 174 174 182 183 +* 204 203 +$ Shell element data for family ELEM.175/T=0.012517708398909779 +CQUAD4* 175 175 183 184 +* 205 204 +$ Shell element data for family ELEM.176/T=0.010352745415083868 +CQUAD4* 176 176 184 185 +* 206 205 +$ Shell element data for family ELEM.177/T=0.008020610339644976 +CQUAD4* 177 177 185 186 +* 207 206 +$ Shell element data for family ELEM.178/T=0.005723874733574502 +CQUAD4* 178 178 186 187 +* 208 207 +$ Shell element data for family ELEM.179/T=0.0035840707695182572 +CQUAD4* 179 179 187 188 +* 209 208 +$ Shell element data for family ELEM.180/T=0.001293884077566625 +CQUAD4* 180 180 188 189 +* 210 209 +$ Shell element data for family ELEM.181/T=0.004931715785920354 +CQUAD4* 181 181 190 191 +* 212 211 +$ Shell element data for family ELEM.182/T=0.010040000370371088 +CQUAD4* 182 182 191 192 +* 213 212 +$ Shell element data for family ELEM.183/T=0.012559960937582847 +CQUAD4* 183 183 192 193 +* 214 213 +$ Shell element data for family ELEM.184/T=0.01431474635421053 +CQUAD4* 184 184 193 194 +* 215 214 +$ Shell element data for family ELEM.185/T=0.01586257537951024 +CQUAD4* 185 185 194 195 +* 216 215 +$ Shell element data for family ELEM.186/T=0.017204614445038804 +CQUAD4* 186 186 195 196 +* 217 216 +$ Shell element data for family ELEM.187/T=0.018191693005115608 +CQUAD4* 187 187 196 197 +* 218 217 +$ Shell element data for family ELEM.188/T=0.018717507140295367 +CQUAD4* 188 188 197 198 +* 219 218 +$ Shell element data for family ELEM.189/T=0.0187727514610485 +CQUAD4* 189 189 198 199 +* 220 219 +$ Shell element data for family ELEM.190/T=0.01842140872379305 +CQUAD4* 190 190 199 200 +* 221 220 +$ Shell element data for family ELEM.191/T=0.017747215936372764 +CQUAD4* 191 191 200 201 +* 222 221 +$ Shell element data for family ELEM.192/T=0.016805115095018572 +CQUAD4* 192 192 201 202 +* 223 222 +$ Shell element data for family ELEM.193/T=0.015599286059785354 +CQUAD4* 193 193 202 203 +* 224 223 +$ Shell element data for family ELEM.194/T=0.014096148440402714 +CQUAD4* 194 194 203 204 +* 225 224 +$ Shell element data for family ELEM.195/T=0.012267508729410556 +CQUAD4* 195 195 204 205 +* 226 225 +$ Shell element data for family ELEM.196/T=0.010145818284436761 +CQUAD4* 196 196 205 206 +* 227 226 +$ Shell element data for family ELEM.197/T=0.007860297126378559 +CQUAD4* 197 197 206 207 +* 228 227 +$ Shell element data for family ELEM.198/T=0.005609467885215578 +CQUAD4* 198 198 207 208 +* 229 228 +$ Shell element data for family ELEM.199/T=0.003512433590138572 +CQUAD4* 199 199 208 209 +* 230 229 +$ Shell element data for family ELEM.200/T=0.0012680223656413277 +CQUAD4* 200 200 209 210 +* 231 230 +$ Shell element data for family ELEM.201/T=0.004831131903168094 +CQUAD4* 201 201 211 212 +* 233 232 +$ Shell element data for family ELEM.202/T=0.009835231429109479 +CQUAD4* 202 202 212 213 +* 234 233 +$ Shell element data for family ELEM.203/T=0.012303796614017098 +CQUAD4* 203 203 213 214 +* 235 234 +$ Shell element data for family ELEM.204/T=0.014022792634365018 +CQUAD4* 204 204 214 215 +* 236 235 +$ Shell element data for family ELEM.205/T=0.015539053203581805 +CQUAD4* 205 205 215 216 +* 237 236 +$ Shell element data for family ELEM.206/T=0.01685372096348861 +CQUAD4* 206 206 216 217 +* 238 237 +$ Shell element data for family ELEM.207/T=0.017820667748243427 +CQUAD4* 207 207 217 218 +* 239 238 +$ Shell element data for family ELEM.208/T=0.018335757740017885 +CQUAD4* 208 208 218 219 +* 240 239 +$ Shell element data for family ELEM.209/T=0.018389875335606272 +CQUAD4* 209 209 219 220 +* 241 240 +$ Shell element data for family ELEM.210/T=0.018045698343139047 +CQUAD4* 210 210 220 221 +* 242 241 +$ Shell element data for family ELEM.211/T=0.017385255928048793 +CQUAD4* 211 211 221 222 +* 243 242 +$ Shell element data for family ELEM.212/T=0.016462369527404687 +CQUAD4* 212 212 222 223 +* 244 243 +$ Shell element data for family ELEM.213/T=0.015281133751711171 +CQUAD4* 213 213 223 224 +* 245 244 +$ Shell element data for family ELEM.214/T=0.013808653093238593 +CQUAD4* 214 214 224 225 +* 246 245 +$ Shell element data for family ELEM.215/T=0.012017309059911331 +CQUAD4* 215 215 225 226 +* 247 246 +$ Shell element data for family ELEM.216/T=0.009938891153789656 +CQUAD4* 216 216 226 227 +* 248 247 +$ Shell element data for family ELEM.217/T=0.007699983913112144 +CQUAD4* 217 217 227 228 +* 249 248 +$ Shell element data for family ELEM.218/T=0.005495061036856655 +CQUAD4* 218 218 228 229 +* 250 249 +$ Shell element data for family ELEM.219/T=0.0034407964107588864 +CQUAD4* 219 219 229 230 +* 251 250 +$ Shell element data for family ELEM.220/T=0.0012421606537160305 +CQUAD4* 220 220 230 231 +* 252 251 +$ Shell element data for family ELEM.221/T=0.004730548020415832 +CQUAD4* 221 221 232 233 +* 254 253 +$ Shell element data for family ELEM.222/T=0.00963046248784787 +CQUAD4* 222 222 233 234 +* 255 254 +$ Shell element data for family ELEM.223/T=0.012047632290451346 +CQUAD4* 223 223 234 235 +* 256 255 +$ Shell element data for family ELEM.224/T=0.013730838914519507 +CQUAD4* 224 224 235 236 +* 257 256 +$ Shell element data for family ELEM.225/T=0.015215531027653367 +CQUAD4* 225 225 236 237 +* 258 257 +$ Shell element data for family ELEM.226/T=0.016502827481938414 +CQUAD4* 226 226 237 238 +* 259 258 +$ Shell element data for family ELEM.227/T=0.017449642491371247 +CQUAD4* 227 227 238 239 +* 260 259 +$ Shell element data for family ELEM.228/T=0.017954008339740403 +CQUAD4* 228 228 239 240 +* 261 260 +$ Shell element data for family ELEM.229/T=0.018006999210164045 +CQUAD4* 229 229 240 241 +* 262 261 +$ Shell element data for family ELEM.230/T=0.017669987962485045 +CQUAD4* 230 230 241 242 +* 263 262 +$ Shell element data for family ELEM.231/T=0.01702329591972482 +CQUAD4* 231 231 242 243 +* 264 263 +$ Shell element data for family ELEM.232/T=0.016119623959790805 +CQUAD4* 232 232 243 244 +* 265 264 +$ Shell element data for family ELEM.233/T=0.014962981443636987 +CQUAD4* 233 233 244 245 +* 266 265 +$ Shell element data for family ELEM.234/T=0.013521157746074472 +CQUAD4* 234 234 245 246 +* 267 266 +$ Shell element data for family ELEM.235/T=0.011767109390412107 +CQUAD4* 235 235 246 247 +* 268 267 +$ Shell element data for family ELEM.236/T=0.009731964023142546 +CQUAD4* 236 236 247 248 +* 269 268 +$ Shell element data for family ELEM.237/T=0.0075396706998457266 +CQUAD4* 237 237 248 249 +* 270 269 +$ Shell element data for family ELEM.238/T=0.00538065418849773 +CQUAD4* 238 238 249 250 +* 271 270 +$ Shell element data for family ELEM.239/T=0.0033691592313792006 +CQUAD4* 239 239 250 251 +* 272 271 +$ Shell element data for family ELEM.240/T=0.0012162989417907333 +CQUAD4* 240 240 251 252 +* 273 272 +$ Shell element data for family ELEM.241/T=0.004629964137663569 +CQUAD4* 241 241 253 254 +* 275 274 +$ Shell element data for family ELEM.242/T=0.009425693546586263 +CQUAD4* 242 242 254 255 +* 276 275 +$ Shell element data for family ELEM.243/T=0.011791467966885594 +CQUAD4* 243 243 255 256 +* 277 276 +$ Shell element data for family ELEM.244/T=0.013438885194673993 +CQUAD4* 244 244 256 257 +* 278 277 +$ Shell element data for family ELEM.245/T=0.014892008851724928 +CQUAD4* 245 245 257 258 +* 279 278 +$ Shell element data for family ELEM.246/T=0.016151934000388217 +CQUAD4* 246 246 258 259 +* 280 279 +$ Shell element data for family ELEM.247/T=0.017078617234499063 +CQUAD4* 247 247 259 260 +* 281 280 +$ Shell element data for family ELEM.248/T=0.017572258939462918 +CQUAD4* 248 248 260 261 +* 282 281 +$ Shell element data for family ELEM.249/T=0.01762412308472182 +CQUAD4* 249 249 261 262 +* 283 282 +$ Shell element data for family ELEM.250/T=0.01729427758183104 +CQUAD4* 250 250 262 263 +* 284 283 +$ Shell element data for family ELEM.251/T=0.01666133591140085 +CQUAD4* 251 251 263 264 +* 285 284 +$ Shell element data for family ELEM.252/T=0.015776878392176924 +CQUAD4* 252 252 264 265 +* 286 285 +$ Shell element data for family ELEM.253/T=0.014644829135562804 +CQUAD4* 253 253 265 266 +* 287 286 +$ Shell element data for family ELEM.254/T=0.01323366239891035 +CQUAD4* 254 254 266 267 +* 288 287 +$ Shell element data for family ELEM.255/T=0.01151690972091288 +CQUAD4* 255 255 267 268 +* 289 288 +$ Shell element data for family ELEM.256/T=0.00952503689249544 +CQUAD4* 256 256 268 269 +* 290 289 +$ Shell element data for family ELEM.257/T=0.007379357486579309 +CQUAD4* 257 257 269 270 +* 291 290 +$ Shell element data for family ELEM.258/T=0.005266247340138805 +CQUAD4* 258 258 270 271 +* 292 291 +$ Shell element data for family ELEM.259/T=0.0032975220519995143 +CQUAD4* 259 259 271 272 +* 293 292 +$ Shell element data for family ELEM.260/T=0.001190437229865436 +CQUAD4* 260 260 272 273 +* 294 293 +$ Shell element data for family ELEM.261/T=0.004529380254911307 +CQUAD4* 261 261 274 275 +* 296 295 +$ Shell element data for family ELEM.262/T=0.009220924605324653 +CQUAD4* 262 262 275 276 +* 297 296 +$ Shell element data for family ELEM.263/T=0.011535303643319842 +CQUAD4* 263 263 276 277 +* 298 297 +$ Shell element data for family ELEM.264/T=0.013146931474828481 +CQUAD4* 264 264 277 278 +* 299 298 +$ Shell element data for family ELEM.265/T=0.014568486675796494 +CQUAD4* 265 265 278 279 +* 300 299 +$ Shell element data for family ELEM.266/T=0.01580104051883802 +CQUAD4* 266 266 279 280 +* 301 300 +$ Shell element data for family ELEM.267/T=0.016707591977626883 +CQUAD4* 267 267 280 281 +* 302 301 +$ Shell element data for family ELEM.268/T=0.017190509539185436 +CQUAD4* 268 268 281 282 +* 303 302 +$ Shell element data for family ELEM.269/T=0.017241246959279588 +CQUAD4* 269 269 282 283 +* 304 303 +$ Shell element data for family ELEM.270/T=0.016918567201177032 +CQUAD4* 270 270 283 284 +* 305 304 +$ Shell element data for family ELEM.271/T=0.016299375903076875 +CQUAD4* 271 271 284 285 +* 306 305 +$ Shell element data for family ELEM.272/T=0.015434132824563039 +CQUAD4* 272 272 285 286 +* 307 306 +$ Shell element data for family ELEM.273/T=0.01432667682748862 +CQUAD4* 273 273 286 287 +* 308 307 +$ Shell element data for family ELEM.274/T=0.012946167051746229 +CQUAD4* 274 274 287 288 +* 309 308 +$ Shell element data for family ELEM.275/T=0.011266710051413657 +CQUAD4* 275 275 288 289 +* 310 309 +$ Shell element data for family ELEM.276/T=0.009318109761848332 +CQUAD4* 276 276 289 290 +* 311 310 +$ Shell element data for family ELEM.277/T=0.007219044273312894 +CQUAD4* 277 277 290 291 +* 312 311 +$ Shell element data for family ELEM.278/T=0.005151840491779881 +CQUAD4* 278 278 291 292 +* 313 312 +$ Shell element data for family ELEM.279/T=0.003225884872619829 +CQUAD4* 279 279 292 293 +* 314 313 +$ Shell element data for family ELEM.280/T=0.0011645755179401386 +CQUAD4* 280 280 293 294 +* 315 314 +$ Shell element data for family ELEM.281/T=0.0044287963721590445 +CQUAD4* 281 281 295 296 +* 317 316 +$ Shell element data for family ELEM.282/T=0.009016155664063044 +CQUAD4* 282 282 296 297 +* 318 317 +$ Shell element data for family ELEM.283/T=0.01127913931975409 +CQUAD4* 283 283 297 298 +* 319 318 +$ Shell element data for family ELEM.284/T=0.012854977754982969 +CQUAD4* 284 284 298 299 +* 320 319 +$ Shell element data for family ELEM.285/T=0.014244964499868056 +CQUAD4* 285 285 299 300 +* 321 320 +$ Shell element data for family ELEM.286/T=0.015450147037287821 +CQUAD4* 286 286 300 301 +* 322 321 +$ Shell element data for family ELEM.287/T=0.0163365667207547 +CQUAD4* 287 287 301 302 +* 323 322 +$ Shell element data for family ELEM.288/T=0.016808760138907947 +CQUAD4* 288 288 302 303 +* 324 323 +$ Shell element data for family ELEM.289/T=0.016858370833837358 +CQUAD4* 289 289 303 304 +* 325 324 +$ Shell element data for family ELEM.290/T=0.016542856820523026 +CQUAD4* 290 290 304 305 +* 326 325 +$ Shell element data for family ELEM.291/T=0.0159374158947529 +CQUAD4* 291 291 305 306 +* 327 326 +$ Shell element data for family ELEM.292/T=0.015091387256949158 +CQUAD4* 292 292 306 307 +* 328 327 +$ Shell element data for family ELEM.293/T=0.014008524519414436 +CQUAD4* 293 293 307 308 +* 329 328 +$ Shell element data for family ELEM.294/T=0.012658671704582106 +CQUAD4* 294 294 308 309 +* 330 329 +$ Shell element data for family ELEM.295/T=0.01101651038191443 +CQUAD4* 295 295 309 310 +* 331 330 +$ Shell element data for family ELEM.296/T=0.009111182631201226 +CQUAD4* 296 296 310 311 +* 332 331 +$ Shell element data for family ELEM.297/T=0.007058731060046477 +CQUAD4* 297 297 311 312 +* 333 332 +$ Shell element data for family ELEM.298/T=0.005037433643420956 +CQUAD4* 298 298 312 313 +* 334 333 +$ Shell element data for family ELEM.299/T=0.003154247693240142 +CQUAD4* 299 299 313 314 +* 335 334 +$ Shell element data for family ELEM.300/T=0.0011387138060148414 +CQUAD4* 300 300 314 315 +* 336 335 +$ Shell element data for family ELEM.301/T=0.004328212489406782 +CQUAD4* 301 301 316 317 +* 338 337 +$ Shell element data for family ELEM.302/T=0.008811386722801434 +CQUAD4* 302 302 317 318 +* 339 338 +$ Shell element data for family ELEM.303/T=0.011022974996188338 +CQUAD4* 303 303 318 319 +* 340 339 +$ Shell element data for family ELEM.304/T=0.012563024035137454 +CQUAD4* 304 304 319 320 +* 341 340 +$ Shell element data for family ELEM.305/T=0.013921442323939616 +CQUAD4* 305 305 320 321 +* 342 341 +$ Shell element data for family ELEM.306/T=0.015099253555737626 +CQUAD4* 306 306 321 322 +* 343 342 +$ Shell element data for family ELEM.307/T=0.015965541463882515 +CQUAD4* 307 307 322 323 +* 344 343 +$ Shell element data for family ELEM.308/T=0.016427010738630465 +CQUAD4* 308 308 323 324 +* 345 344 +$ Shell element data for family ELEM.309/T=0.01647549470839513 +CQUAD4* 309 309 324 325 +* 346 345 +$ Shell element data for family ELEM.310/T=0.016167146439869023 +CQUAD4* 310 310 325 326 +* 347 346 +$ Shell element data for family ELEM.311/T=0.01557545588642893 +CQUAD4* 311 311 326 327 +* 348 347 +$ Shell element data for family ELEM.312/T=0.014748641689335274 +CQUAD4* 312 312 327 328 +* 349 348 +$ Shell element data for family ELEM.313/T=0.013690372211340254 +CQUAD4* 313 313 328 329 +* 350 349 +$ Shell element data for family ELEM.314/T=0.012371176357417985 +CQUAD4* 314 314 329 330 +* 351 350 +$ Shell element data for family ELEM.315/T=0.010766310712415206 +CQUAD4* 315 315 330 331 +* 352 351 +$ Shell element data for family ELEM.316/T=0.008904255500554115 +CQUAD4* 316 316 331 332 +* 353 352 +$ Shell element data for family ELEM.317/T=0.00689841784678006 +CQUAD4* 317 317 332 333 +* 354 353 +$ Shell element data for family ELEM.318/T=0.004923026795062032 +CQUAD4* 318 318 333 334 +* 355 354 +$ Shell element data for family ELEM.319/T=0.0030826105138604563 +CQUAD4* 319 319 334 335 +* 356 355 +$ Shell element data for family ELEM.320/T=0.001112852094089544 +CQUAD4* 320 320 335 336 +* 357 356 +$ Shell element data for family ELEM.321/T=0.00422762860665452 +CQUAD4* 321 321 337 338 +* 359 358 +$ Shell element data for family ELEM.322/T=0.008606617781539826 +CQUAD4* 322 322 338 339 +* 360 359 +$ Shell element data for family ELEM.323/T=0.010766810672622588 +CQUAD4* 323 323 339 340 +* 361 360 +$ Shell element data for family ELEM.324/T=0.01227107031529194 +CQUAD4* 324 324 340 341 +* 362 361 +$ Shell element data for family ELEM.325/T=0.01359792014801118 +CQUAD4* 325 325 341 342 +* 363 362 +$ Shell element data for family ELEM.326/T=0.01474836007418743 +CQUAD4* 326 326 342 343 +* 364 363 +$ Shell element data for family ELEM.327/T=0.015594516207010333 +CQUAD4* 327 327 343 344 +* 365 364 +$ Shell element data for family ELEM.328/T=0.01604526133835298 +CQUAD4* 328 328 344 345 +* 366 365 +$ Shell element data for family ELEM.329/T=0.016092618582952904 +CQUAD4* 329 329 345 346 +* 367 366 +$ Shell element data for family ELEM.330/T=0.01579143605921502 +CQUAD4* 330 330 346 347 +* 368 367 +$ Shell element data for family ELEM.331/T=0.015213495878104959 +CQUAD4* 331 331 347 348 +* 369 368 +$ Shell element data for family ELEM.332/T=0.014405896121721391 +CQUAD4* 332 332 348 349 +* 370 369 +$ Shell element data for family ELEM.333/T=0.013372219903266069 +CQUAD4* 333 333 349 350 +* 371 370 +$ Shell element data for family ELEM.334/T=0.012083681010253866 +CQUAD4* 334 334 350 351 +* 372 371 +$ Shell element data for family ELEM.335/T=0.010516111042915981 +CQUAD4* 335 335 351 352 +* 373 372 +$ Shell element data for family ELEM.336/T=0.008697328369907008 +CQUAD4* 336 336 352 353 +* 374 373 +$ Shell element data for family ELEM.337/T=0.0067381046335136426 +CQUAD4* 337 337 353 354 +* 375 374 +$ Shell element data for family ELEM.338/T=0.0048086199467031075 +CQUAD4* 338 338 354 355 +* 376 375 +$ Shell element data for family ELEM.339/T=0.0030109733344807705 +CQUAD4* 339 339 355 356 +* 377 376 +$ Shell element data for family ELEM.340/T=0.0010869903821642468 +CQUAD4* 340 340 356 357 +* 378 377 +$ Shell element data for family ELEM.341/T=0.0041270447239022574 +CQUAD4* 341 341 358 359 +* 380 379 +$ Shell element data for family ELEM.342/T=0.008401848840278218 +CQUAD4* 342 342 359 360 +* 381 380 +$ Shell element data for family ELEM.343/T=0.010510646349056836 +CQUAD4* 343 343 360 361 +* 382 381 +$ Shell element data for family ELEM.344/T=0.01197911659544643 +CQUAD4* 344 344 361 362 +* 383 382 +$ Shell element data for family ELEM.345/T=0.013274397972082741 +CQUAD4* 345 345 362 363 +* 384 383 +$ Shell element data for family ELEM.346/T=0.014397466592637232 +CQUAD4* 346 346 363 364 +* 385 384 +$ Shell element data for family ELEM.347/T=0.015223490950138151 +CQUAD4* 347 347 364 365 +* 386 385 +$ Shell element data for family ELEM.348/T=0.015663511938075494 +CQUAD4* 348 348 365 366 +* 387 386 +$ Shell element data for family ELEM.349/T=0.015709742457510674 +CQUAD4* 349 349 366 367 +* 388 387 +$ Shell element data for family ELEM.350/T=0.015415725678561015 +CQUAD4* 350 350 367 368 +* 389 388 +$ Shell element data for family ELEM.351/T=0.014851535869780988 +CQUAD4* 351 351 368 369 +* 390 389 +$ Shell element data for family ELEM.352/T=0.014063150554107508 +CQUAD4* 352 352 369 370 +* 391 390 +$ Shell element data for family ELEM.353/T=0.013054067595191886 +CQUAD4* 353 353 370 371 +* 392 391 +$ Shell element data for family ELEM.354/T=0.011796185663089744 +CQUAD4* 354 354 371 372 +* 393 392 +$ Shell element data for family ELEM.355/T=0.010265911373416755 +CQUAD4* 355 355 372 373 +* 394 393 +$ Shell element data for family ELEM.356/T=0.008490401239259902 +CQUAD4* 356 356 373 374 +* 395 394 +$ Shell element data for family ELEM.357/T=0.006577791420247226 +CQUAD4* 357 357 374 375 +* 396 395 +$ Shell element data for family ELEM.358/T=0.0046942130983441835 +CQUAD4* 358 358 375 376 +* 397 396 +$ Shell element data for family ELEM.359/T=0.0029393361551010846 +CQUAD4* 359 359 376 377 +* 398 397 +$ Shell element data for family ELEM.360/T=0.0010611286702389496 +CQUAD4* 360 360 377 378 +* 399 398 +$ Shell element data for family ELEM.361/T=0.004026460841149996 +CQUAD4* 361 361 379 380 +* 401 400 +$ Shell element data for family ELEM.362/T=0.008197079899016609 +CQUAD4* 362 362 380 381 +* 402 401 +$ Shell element data for family ELEM.363/T=0.010254482025491085 +CQUAD4* 363 363 381 382 +* 403 402 +$ Shell element data for family ELEM.364/T=0.011687162875600919 +CQUAD4* 364 364 382 383 +* 404 403 +$ Shell element data for family ELEM.365/T=0.012950875796154306 +CQUAD4* 365 365 383 384 +* 405 404 +$ Shell element data for family ELEM.366/T=0.014046573111087037 +CQUAD4* 366 366 384 385 +* 406 405 +$ Shell element data for family ELEM.367/T=0.014852465693265971 +CQUAD4* 367 367 385 386 +* 407 406 +$ Shell element data for family ELEM.368/T=0.01528176253779801 +CQUAD4* 368 368 386 387 +* 408 407 +$ Shell element data for family ELEM.369/T=0.015326866332068447 +CQUAD4* 369 369 387 388 +* 409 408 +$ Shell element data for family ELEM.370/T=0.015040015297907012 +CQUAD4* 370 370 388 389 +* 410 409 +$ Shell element data for family ELEM.371/T=0.014489575861457018 +CQUAD4* 371 371 389 390 +* 411 410 +$ Shell element data for family ELEM.372/T=0.013720404986493628 +CQUAD4* 372 372 390 391 +* 412 411 +$ Shell element data for family ELEM.373/T=0.012735915287117703 +CQUAD4* 373 373 391 392 +* 413 412 +$ Shell element data for family ELEM.374/T=0.011508690315925624 +CQUAD4* 374 374 392 393 +* 414 413 +$ Shell element data for family ELEM.375/T=0.010015711703917534 +CQUAD4* 375 375 393 394 +* 415 414 +$ Shell element data for family ELEM.376/T=0.008283474108612795 +CQUAD4* 376 376 394 395 +* 416 415 +$ Shell element data for family ELEM.377/T=0.006417478206980811 +CQUAD4* 377 377 395 396 +* 417 416 +$ Shell element data for family ELEM.378/T=0.00457980624998526 +CQUAD4* 378 378 396 397 +* 418 417 +$ Shell element data for family ELEM.379/T=0.002867698975721399 +CQUAD4* 379 379 397 398 +* 419 418 +$ Shell element data for family ELEM.380/T=0.0010352669583136524 +CQUAD4* 380 380 398 399 +* 420 419 +$ Shell element data for family ELEM.381/T=0.0039258769583977345 +CQUAD4* 381 381 400 401 +* 422 421 +$ Shell element data for family ELEM.382/T=0.007992310957755003 +CQUAD4* 382 382 401 402 +* 423 422 +$ Shell element data for family ELEM.383/T=0.009998317701925337 +CQUAD4* 383 383 402 403 +* 424 423 +$ Shell element data for family ELEM.384/T=0.011395209155755405 +CQUAD4* 384 384 403 404 +* 425 424 +$ Shell element data for family ELEM.385/T=0.012627353620225868 +CQUAD4* 385 385 404 405 +* 426 425 +$ Shell element data for family ELEM.386/T=0.013695679629536842 +CQUAD4* 386 386 405 406 +* 427 426 +$ Shell element data for family ELEM.387/T=0.01448144043639379 +CQUAD4* 387 387 406 407 +* 428 427 +$ Shell element data for family ELEM.388/T=0.014900013137520526 +CQUAD4* 388 388 407 408 +* 429 428 +$ Shell element data for family ELEM.389/T=0.01494399020662622 +CQUAD4* 389 389 408 409 +* 430 429 +$ Shell element data for family ELEM.390/T=0.01466430491725301 +CQUAD4* 390 390 409 410 +* 431 430 +$ Shell element data for family ELEM.391/T=0.014127615853133048 +CQUAD4* 391 391 410 411 +* 432 431 +$ Shell element data for family ELEM.392/T=0.013377659418879747 +CQUAD4* 392 392 411 412 +* 433 432 +$ Shell element data for family ELEM.393/T=0.012417762979043519 +CQUAD4* 393 393 412 413 +* 434 433 +$ Shell element data for family ELEM.394/T=0.011221194968761505 +CQUAD4* 394 394 413 414 +* 435 434 +$ Shell element data for family ELEM.395/T=0.009765512034418309 +CQUAD4* 395 395 414 415 +* 436 435 +$ Shell element data for family ELEM.396/T=0.008076546977965688 +CQUAD4* 396 396 415 416 +* 437 436 +$ Shell element data for family ELEM.397/T=0.006257164993714395 +CQUAD4* 397 397 416 417 +* 438 437 +$ Shell element data for family ELEM.398/T=0.0044653994016263365 +CQUAD4* 398 398 417 418 +* 439 438 +$ Shell element data for family ELEM.399/T=0.0027960617963417134 +CQUAD4* 399 399 418 419 +* 440 439 +$ Shell element data for family ELEM.400/T=0.0010094052463883551 +CQUAD4* 400 400 419 420 +* 441 440 +$SPCs +SPC1 1 123456 1 2 3 4 5 6 + 7 8 9 10 11 12 13 14 + 15 16 17 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-1.1778,0.762,0,2.2091,2.1098,1.8921,4.0731,-7.7787,18.449,1.0308,14.879,-2.8424,6.5141,-17.352,49.907 diff --git a/examples/sdpm_nipk_agard.py b/examples/sdpm_nipk_agard.py index 6f7664e89c423dabc13d3e88706b0e8fdb27fc5b..59e5894d28ffe090da473c935cdc5256b06c1c0f 100644 --- a/examples/sdpm_nipk_agard.py +++ b/examples/sdpm_nipk_agard.py @@ -25,7 +25,7 @@ import numpy as np def get_path(fname): import os.path - return os.path.join(os.path.abspath(os.path.dirname(__file__)), 'data', os.path.basename(__file__)[:-3], fname) + return os.path.join(os.path.abspath(os.path.dirname(__file__)), 'data', fname) def get_exp(): mach = [0.499, 0.678, 0.901, 0.960] # experimental Mach number @@ -38,7 +38,7 @@ def get_cfg(irun): import os.path # Shared parameters c_ref = 0.559 # root chord - k_ref = [0.01, 0.1, 0.2, 0.3]#, 0.5, 0.7, 1.0] # reference reduced frequencies + k_ref = [0.01, 0.1, 0.2, 0.3] # reference reduced frequencies n_mod = 4 # number of mode # Experimental Mach number, density and mass ratio _, mach, rho, mu = get_exp() @@ -51,6 +51,8 @@ def get_cfg(irun): # SDPM config wnc = 20 a_cfg = { + # Verbosity + 'Verb_lvl': 0, # Model (geometry or mesh) 'File': get_path('agard445.geo'), # input Gmsh file 'Pars': {'nC': wnc, 'nS': 10, 'pC': 1.1, 'pS': 1.0}, # parameters for Gmsh file (optional) @@ -81,6 +83,7 @@ def get_cfg(irun): } # NIPK f_cfg = { + 'name': 'agard', # case name 'k_ref': np.array(k_ref), # reference reduced frequencies 'l_ref': 0.5 * c_ref, # reference length (half root chord) 'mach': mach[irun], # freesteam Mach number @@ -103,7 +106,6 @@ class Agard(om.Group): self.options.declare('n', default=1, desc='number of runs') def setup(self): - self.add_subsystem('dvs', om.IndepVarComp(), promotes=['*']) for i in range(self.options['n']): # Builders s_cfg, a_cfg, x_cfg, f_cfg = get_cfg(i) @@ -114,15 +116,6 @@ class Agard(om.Group): # Flutter component self.add_subsystem(f'flutter_{i}', FlutterGroup(struct=agrd, xfer=rbfi, aero=sdpm, flutter=pypk)) - def configure(self): - # DV - self.dvs.add_output('dummy', val=1, desc='dummy') - #self.add_design_var('dummy', lower=0.0, upper=1.0, scaler=1) - # CON - #self.add_constraint('flutter.ks_g', upper=-0.001, scaler=1e2) - # OBJ - #self.add_objective('flutter.m', scaler=1e-2) - def print_time(selapsed): days, rem = divmod(selapsed, 24*60*60) hours, rem = divmod(rem, 60*60) diff --git a/examples/tacs_sdpm_nipk_agard.py b/examples/tacs_sdpm_nipk_agard.py new file mode 100644 index 0000000000000000000000000000000000000000..72f18ac6316351d8bbd60193a8532c1f4ba008f7 --- /dev/null +++ b/examples/tacs_sdpm_nipk_agard.py @@ -0,0 +1,261 @@ +#!/usr/bin/env python3 +# -*- coding: utf8 -*- + +# Copyright 2024 University of Liège +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. + +from omflut import FlutterGroup +from omflut.tacs_structure import TacsBuilder +from omflut import RbfXferBuilder +from sdpm.api.om import SdpmBuilder +from pypk.api_om import PypkBuilder +import openmdao.api as om +import numpy as np + +def get_path(fname): + import os.path + return os.path.join(os.path.abspath(os.path.dirname(__file__)), 'data', fname) + +def get_exp(): + mach = [0.499, 0.678, 0.901, 0.960] # experimental Mach number + rho = [0.4278, 0.2082, 0.0995, 0.0634] # experimental density + mu = [33.465, 68.753, 143.920, 225.820] # experimental mass ratio m/(rho*V) + mach = [0.960] # experimental Mach number + rho = [0.0634] # experimental density + mu = [225.820] # experimental mass ratio m/(rho*V) + n = len(mach) + return n, mach, rho, mu + +def get_cfg(irun): + # Shared parameters + c_ref = 0.559 # root chord + k_ref = [0.01, 0.1, 0.2, 0.3] # reference reduced frequencies + n_mod = 4 # number of modes + # Experimental Mach number, density and mass ratio + _, mach, rho, mu = get_exp() + # Structural config + s_cfg = tacs_cfg(n_mod) + # SDPM config + a_cfg = sdpm_cfg(c_ref, n_mod, mach[irun], k_ref) + # RBF + x_cfg = rbfi_cfg(n_mod) + # NIPK + f_cfg = pypk_cfg(c_ref, n_mod, mach[irun], rho[irun], mu[irun], k_ref) + + return s_cfg, a_cfg, x_cfg, f_cfg + +def tacs_cfg(n_mod): + from tacs import constitutive, elements + # Material properties + rho = 381.9 # density, kg/m^3 + e1 = 3.245e9 # Youngs' modulus in direction '1', Pa + e2 = 4.162e8 # Youngs' modulus in direction '2', Pa + nu12 = 0.31 # Poisson's ratio in plane '1-2' + g12 = 4.392e8 # shear modulus in plane '1-2', Pa + min_thickness = 0.0001 + max_thickness = 0.05 + + # Element definition + def element_callback(dvNum, compID, compDescript, elemDescripts, specialDVs, **kwargs): + # Get the thickness of current element + thickness = float(compDescript.split('/')[1].split('=')[1]) + # Set up orthotropic material and shell constitutive properties with 1 DV per element + prop = constitutive.MaterialProperties(rho=rho, E1=e1, E2=e2, nu12=nu12, G12=g12) + con = constitutive.IsoShellConstitutive(prop, t=thickness, tNum=dvNum, tlb=min_thickness, tub=max_thickness) + # Add the element + transform = elements.ShellRefAxisTransform(np.array([np.sqrt(2), np.sqrt(2), 0.0])) + return elements.Quad4Shell(transform, con) + + # Various pyTACS options + options = { + 'printtiming': True + } + + return { + 'mesh_file': get_path('agard445.bdf'), + 'element_callback': element_callback, + 'num_modes': n_mod, + 'sigma': 1., + 'pytacs_options': options, + 'write_solution': False + } + +def sdpm_cfg(c_ref, n_mod, mach, k_ref): + wnc = 20 + return { + # Verbosity + 'Verb_lvl': 0, + # Model (geometry or mesh) + 'File': get_path('agard445.geo'), # input Gmsh file + 'Pars': {'nC': wnc, 'nS': 10, 'pC': 1.1, 'pS': 1.0}, # parameters for Gmsh file (optional) + # Markers + 'Wing': 'wing', # name of the marker defining the lifting body (wing) + 'Te': 'te', # name of the marker defining the trailing edge of the lifting body + # Freestream + 'Mach': mach, # Mach number (optional) + 'AoA': 0.0, # angle of attack (optional) + 'AoS': 0.0, # angle of side slip (optional) + # Unsteady motion + 'Num_wake_div': wnc, # number of cells per chord length in the wake + 'Frequencies': k_ref, # list of reduced frequencies + 'Num_modes': n_mod, # number of modes + # Geometry + 'Symmetry': True, # whether only half (symmetric) model is provided + 's_ref': 0.353, # reference surface area + 'c_ref': c_ref, # reference chord length + 'x_ref': 0.0, # reference point for moment computation (x) + 'y_ref': 0.0, # reference point for moment computation (y) + 'z_ref': 0.0 # reference point for moment computation (z) + } + +def rbfi_cfg(n_mod): + return { + 'n_dim': 2, # number of coordinates to use for interpolation + 'n_modes': n_mod, # number of modes + 'smooth': 1 # smoothing + } + +def pypk_cfg(c_ref, n_mod, mach, rho, mu, k_ref): + return { + 'name': 'agard', # case name + 'k_ref': np.array(k_ref), # reference reduced frequencies + 'l_ref': 0.5 * c_ref, # reference length (half root chord) + 'mach': mach, # freesteam Mach number + 'rho_inf': rho, # freesteam density + 'u_idx': np.linspace(0.2, 0.5, 31, endpoint=True), # velocity index range + 'mu': mu, # mass ratio + 'f_ref': 40.3511, # frequency of first torsional mode + 'n_modes': n_mod, # number of modes + 'rho_ks': 1e6, # KS aggregation parameter for KS + 'method': 'nipk', # method type + 'fluid': 'unmatched', # fluid type + 'vrb': 1 # verbosity level + } + +def mass_builder(mesh_file, element_callback): + """Create TACS static problem to compute mass + """ + from tacs.pytacs import pyTACS + from tacs import functions + from mpi4py import MPI + fea_assembler = pyTACS(mesh_file, comm=MPI.COMM_WORLD) + fea_assembler.initialize(element_callback) + pbl = fea_assembler.createStaticProblem('static') + pbl.addFunction('mass', functions.StructuralMass) + return pbl + +class AgardMass(om.ExplicitComponent): + """Wrap TACS static problem to compute wing mass + """ + def initialize(self): + self.options.declare('pbl', desc='static problem', recordable=False) + + def setup(self): + self.pbl = self.options['pbl'] + self.add_input('dv_struct', shape_by_conn=True, desc='structural design variables') + self.add_output('m', val=0., desc='structural mass') + self.declare_partials(of=['m'], wrt=['dv_struct'], method='exact') + + def compute(self, inputs, outputs): + self.pbl.setDesignVars(inputs['dv_struct']) + func = {} + self.pbl.evalFunctions(func, ['mass']) + outputs['m'] = func['static_mass'] + self.pbl.writeSolution() + + def compute_partials(self, inputs, partials): + func_sens = {} + self.pbl.evalFunctionsSens(func_sens, ['mass']) + partials['m', 'dv_struct'] = func_sens['static_mass']['struct'] + +class Agard(om.Group): + """Aerostructural flutter model of the AGARD 445.6 wing + """ + def initialize(self): + self.options.declare('n', default=1, desc='number of runs') + + def setup(self): + self.n_run = self.options['n'] + self.add_subsystem('dvs', om.IndepVarComp(), promotes=['*']) + for i in range(self.n_run): + # Builders + s_cfg, a_cfg, x_cfg, f_cfg = get_cfg(i) + tacs = TacsBuilder(**s_cfg) + sdpm = SdpmBuilder(a_cfg) + rbfi = RbfXferBuilder(tacs, sdpm, x_cfg) + pypk = PypkBuilder(f_cfg) + # Flutter component + self.add_subsystem(f'flutter_{i}', FlutterGroup(struct=tacs, xfer=rbfi, aero=sdpm, flutter=pypk)) + # Mass component + pbl = mass_builder(s_cfg['mesh_file'], s_cfg['element_callback']) + self.init_dvs = pbl.getDesignVars() + self.add_subsystem('mass', AgardMass(pbl=pbl), promotes=['dv_struct']) + + def configure(self): + # DV + self.dvs.add_output('dv_struct', val=self.init_dvs, desc='structural DV') + self.add_design_var('dv_struct', lower=0.0001, upper=0.05, scaler=1e3) + for i in range(self.n_run): + self.connect('dv_struct', f'flutter_{i}.struct.dv_struct') + # CON + for i in range(self.n_run): + self.add_constraint(f'flutter_{i}.g_agg', upper=-0.001, scaler=1e3) + # OBJ + self.add_objective('mass.m', scaler=1) + +def print_time(selapsed): + days, rem = divmod(selapsed, 24*60*60) + hours, rem = divmod(rem, 60*60) + minutes, seconds = divmod(rem, 60) + print('Wall-clock time: {:0>2}-{:0>2}:{:0>2}:{:0>2}'.format(int(days),int(hours),int(minutes),int(seconds))) + +if __name__ == "__main__": + import time + # Set up the problem + n_runs, mach, _, _ = get_exp() + prob = om.Problem(model=Agard(n=n_runs), driver=om.ScipyOptimizeDriver(optimizer='SLSQP', tol=1e-4, disp=True, maxiter=20)) + rec_inc = [] + for i in range(n_runs): + rec_inc.extend([f'flutter_{i}.f', f'flutter_{i}.g', f'flutter_{i}.g_agg', f'flutter_{i}.flutter.f_speed', 'mass.m']) + prob.model.recording_options['includes'] = rec_inc + prob.model.add_recorder(om.SqliteRecorder('cases.sql')) + prob.setup() + om.n2(prob, show_browser=False, outfile='n2.html') + + # Run + tic = time.perf_counter() + #prob.run_model() + #prob.check_partials(excludes=['*mass', '*aero', '*struct', '*xfer'], compact_print=False, form='central') + #prob.check_totals(of=['flutter_0.g_agg'], wrt=['dv_struct'], compact_print=False, form='central', show_progress=True, driver_scaling=False) + prob.run_driver() + toc = time.perf_counter() + print_time(toc-tic) + + # Print the history + cases = om.CaseReader('cases.sql').get_cases() + hdr = '{:>10s}'.format('it') + for irun in range(n_runs): + hdr += ', {:>10s}, {:>10s}, {:>10s}'.format(f'g_agg_{irun}', f'u_f_{irun}', 'm') + print(hdr) + uf = np.zeros(n_runs) + for i, case in enumerate(cases): + val = '{:10d}'.format(i) + for irun in range(n_runs): + g_agg = case.get_val(f'flutter_{irun}.g_agg')[0] + uf[irun] = case.get_val(f'flutter_{irun}.flutter.f_speed')[0] + m = case.get_val('mass.m')[0] + val += ', {:10.4f}, {:10.4f}, {:10.4f}'.format(g_agg, uf[irun], m) + print(val) + # Save results + np.savetxt('mach_uf.dat', np.column_stack((mach, uf)), delimiter=', ', fmt='%15.2f', header='{:>13s}, {:>15s}'.format('Mach number', 'Flutter speed')) diff --git a/omflut/__init__.py b/omflut/__init__.py index 219c8972a49a5015d7be014a7430da39220f85f4..5cfe94d51d8050bad4d0ddd40956b472b9b4ae34 100644 --- a/omflut/__init__.py +++ b/omflut/__init__.py @@ -15,7 +15,7 @@ # See the License for the specific language governing permissions and # limitations under the License. -__version__ = '1.0.0' +__version__ = '1.1.0' from .builder import Builder from .coupling import FlutterGroup diff --git a/omflut/builder.py b/omflut/builder.py index 367fcd14750f2b81d663666309b87d1ac590218e..76229db79dd4953bd81646a835ae34098305ea60 100644 --- a/omflut/builder.py +++ b/omflut/builder.py @@ -27,7 +27,7 @@ class Builder(): """ raise NotImplementedError() - def get_solver(self): + def get_solver(self, scenario_name=''): """Return OpenMDAO component containing the solver """ raise NotImplementedError() diff --git a/omflut/coupling.py b/omflut/coupling.py index 816c5da00bb8173b0a6fea5e9fa8087ec970132f..b20da766bc4ac6e3a40b80a0339b23d5bb91ef91 100644 --- a/omflut/coupling.py +++ b/omflut/coupling.py @@ -24,11 +24,19 @@ class FlutterGroup(om.Group): self.options.declare('xfer', desc='interpolator', recordable=False) self.options.declare('aero', desc='aerodynamic solver', recordable=False) self.options.declare('flutter', desc='flutter solver', recordable=False) + self.options.declare('geo', desc='optional geometry parametrization', default=None, recordable=False) def setup(self): - self.add_subsystem('mesh_struct', self.options['struct'].get_mesh(), promotes=['x_struct0']) - self.add_subsystem('mesh_aero', self.options['aero'].get_mesh(), promotes=['x_aero0']) - self.add_subsystem('struct', self.options['struct'].get_solver(), promotes=['x_struct0', 'q_struct', 'M', 'K']) - self.add_subsystem('xfer', self.options['xfer'].get_solver(), promotes=['x_struct0', 'q_struct', 'x_aero0', 'q_aero']) - self.add_subsystem('aero', self.options['aero'].get_solver(), promotes=['x_aero0', 'q_aero', 'Q_re', 'Q_im']) - self.add_subsystem('flutter', self.options['flutter'].get_solver(), promotes=['M', 'K', 'Q_re', 'Q_im', 'f', 'g', 'g_agg']) + if self.options['geo'] is None: + self.add_subsystem('mesh_struct', self.options['struct'].get_mesh(), promotes=['x_struct0']) + self.add_subsystem('mesh_aero', self.options['aero'].get_mesh(), promotes=['x_aero0']) + else: + self.add_subsystem('mesh_struct', self.options['struct'].get_mesh()) + self.add_subsystem('mesh_aero', self.options['aero'].get_mesh()) + self.add_subsystem('geometry', self.options['geo'].get_mesh(), promotes=['x_struct0', 'x_aero0']) + self.connect('mesh_struct.x_struct0', 'geometry.x_struct_in') + self.connect('mesh_aero.x_aero0', 'geometry.x_aero_in') + self.add_subsystem('struct', self.options['struct'].get_solver(self.name), promotes=['x_struct0', 'q_struct', 'M', 'K']) + self.add_subsystem('xfer', self.options['xfer'].get_solver(self.name), promotes=['x_struct0', 'q_struct', 'x_aero0', 'q_aero']) + self.add_subsystem('aero', self.options['aero'].get_solver(self.name), promotes=['x_aero0', 'q_aero', 'Q_re', 'Q_im']) + self.add_subsystem('flutter', self.options['flutter'].get_solver(self.name), promotes=['M', 'K', 'Q_re', 'Q_im', 'f', 'g', 'g_agg']) diff --git a/omflut/fake_structure.py b/omflut/fake_structure.py index eb3f41f03b8bda0a6a72a245a529797b0c0720d9..46ac8c0a7371b13c17f0afa5db7175a79a0d6e9b 100644 --- a/omflut/fake_structure.py +++ b/omflut/fake_structure.py @@ -69,7 +69,7 @@ class FakeStructBuilder(Builder): """ return FakeStructMesh(xs=self.__x_struct) - def get_solver(self): + def get_solver(self, scenario_name=''): """Return OpenMDAO component containing the solver """ return FakeStructSolver(xs=self.__x_struct, qm=self.__q_modes, m=self.__m_mat, k=self.__k_mat) diff --git a/omflut/rbf_xfer.py b/omflut/rbf_xfer.py index 3049374e632ee372185578c67aff29dc539c5baf..6e364b47c41d83a5d44705e0992e2a3bb277a018 100644 --- a/omflut/rbf_xfer.py +++ b/omflut/rbf_xfer.py @@ -43,7 +43,7 @@ class RbfXferBuilder(Builder): n_a = aero_builder.get_number_of_nodes() # number of aerodynamic nodes self.xfer = RbfInterp(cfg, n_s, n_a) - def get_solver(self): + def get_solver(self, scenario_name=''): """Return OpenMDAO component containing the solver """ return RbfXferSolver(sol=self.xfer) diff --git a/omflut/tacs_structure.py b/omflut/tacs_structure.py new file mode 100644 index 0000000000000000000000000000000000000000..ddcb26bcd6fc768d7d82202ff8723187167d75d6 --- /dev/null +++ b/omflut/tacs_structure.py @@ -0,0 +1,202 @@ +from omflut import Builder +import openmdao.api as om +import numpy as np + +class TacsMesh(om.IndepVarComp): + """Initial structural mesh + """ + def initialize(self): + self.options.declare('fea_assembler', desc='pyTACS interface', recordable=False) + self.options.declare('x_mask', desc='array to recover true degrees of freedom (node coordinates)') + + def setup(self): + asb = self.options['fea_assembler'] + mask = self.options['x_mask'] + # Store all the node coordinates and add as output + self.add_output('x_struct0', val=asb.getOrigNodes()[mask], desc='initial structural node coordinates') + +class TacsSolver(om.ExplicitComponent): + """OpenMDAO structural wrapper + + Attributes + ---------- + n_modes : int + number of eigenvalue frequencies / eigenvector modes + abs : tacs.pyTACS object + pyTACS interface + pbl : tacs.problem.modal object + Modal problem definition + x_mask : np.array + Array to recover true degrees of freedom (node coordinates) + q_mask : np.array + Array to recover true degrees of freedom (mode shapes) + """ + def initialize(self): + self.options.declare('fea_assembler', desc='pyTACS interface', recordable=False) + self.options.declare('fea_problem', desc='modal problem', recordable=False) + self.options.declare('write_solution', desc='flag to write solution') + self.options.declare('x_mask', desc='array to recover true degrees of freedom (node coordinates)') + self.options.declare('q_mask', desc='array to recover true degrees of freedom (mode shapes)') + self.options.declare('n_nodes', desc='number of retained nodes') + self.options.declare('retained_modes', desc='list of retained modes') + + def setup(self): + self.asb = self.options['fea_assembler'] + self.pbl = self.options['fea_problem'] + self.x_mask = self.options['x_mask'] + self.q_mask = self.options['q_mask'] + self.retained_modes = self.options['retained_modes'] + self.n_modes = len(self.retained_modes) + self.add_input('dv_struct', shape_by_conn=True, desc='structural design variables') + self.add_input('x_struct0', shape_by_conn=True, desc='structural coordinates') + self.add_output('q_struct', val=np.zeros((3 * self.options['n_nodes'], self.n_modes)), desc='modal displacements') + self.add_output('M', val=np.identity(self.n_modes), desc='mass matrix') + self.add_output('K', val=np.zeros((self.n_modes, self.n_modes)), desc='stiffness matrix') + # Partials + # self.declare_partials(of=['q_struct', 'M', 'K'], wrt=['x_struct0'], method='exact') + self.declare_partials(of=['K'], wrt=['dv_struct'], method='exact') + + def compute(self, inputs, outputs): + # Update nodes and design variables + x_s = self.asb.getOrigNodes() + x_s[self.x_mask] = inputs['x_struct0'] + self.pbl.setNodes(x_s) + self.pbl.setDesignVars(inputs['dv_struct']) + # Perform modal analysis + self.pbl.solve() + if self.options['write_solution']: + self.pbl.writeSolution() + # Mask and set modes + for i in range(self.n_modes): + _, q_s = self.pbl.getVariables(self.retained_modes[i]) + outputs['q_struct'][:, i] = self._extract_data(q_s[self.q_mask]) + # Get eigenvalues and set modal stiffness matrix + funcs = {} + self.pbl.evalFunctions(funcs) + outputs['K'] = np.diag(list(funcs.values()))[np.ix_(self.retained_modes, self.retained_modes)] + + def compute_partials(self, inputs, partials): + # Approximate derivative of stiffness matrix diagonal entries by derivative of eigenvalues + func_sens = {} + self.pbl.evalFunctionsSens(func_sens, evalVars='dv') + for i in range(self.n_modes): + d_lambda = func_sens[f'{self.pbl.name}_eigsm.{self.retained_modes[i]}'] + partials['K', 'dv_struct'][np.ravel_multi_index(([i], [i]), (self.n_modes, self.n_modes)), :] = d_lambda['struct'] + + def _extract_data(self, q): + """Extract modal displacements along z and rotations about x and y + """ + # Constants + vars_node = 6 # number of variables per node + v_idx = [2, 3, 4] # indices of dz, rx and ry + n_var = len(v_idx) # number of variables to extract + n_nod = len(q) // vars_node # number of nodes + # Extract + q_red = np.zeros(n_nod * n_var) + for i in range(n_nod): + for j in range(n_var): + q_red[i * n_var + j] = q[i * vars_node + v_idx[j]] + return q_red + +class TacsBuilder(Builder): + """TACS builder for OpenMDAO + + Attributes + ---------- + fea_assembler : tacs.pyTACS object + pyTACS interface + fea_problem : tacs.problem.modal object + Modal problem definition + mask : np.array + Array to recover true degrees of freedom + write_solution : bool + Flag indicating whether to write solution + """ + def __init__(self, mesh_file, num_modes, sigma=1., element_callback=None, exclude_modes=None, components_tag=None, pytacs_options=None, write_solution=True): + """Instantiate and initialize TACS components + + Parameters + ---------- + mesh_file : str or pyNastran.bdf.bdf.BDF + The BDF file or a pyNastran BDF object to load + num_modes : int + Number of modes + sigma : float + Guess for the lowest eigenvalue (default: 1.0) + element_callback : collections.abc.Callable, optional + User-defined callback function for setting up TACS elements and element DVs (default: None) + exclude_modes : list[int] + List of indices of modes to exclude from analysis (default: None) + components_tag : list[str] + List of tag names for which nodes will be included (default: None) + pytacs_options : dict, optional + Options dictionary passed to pyTACS assembler (default: None) + write_solution : bool, optional + Flag to determine whether to write out TACS solutions to f5 file each design iteration (default: True) + """ + from tacs.pytacs import pyTACS + from mpi4py import MPI + # Initialize assembler + self.fea_assembler = pyTACS(mesh_file, options=pytacs_options, comm=MPI.COMM_WORLD) + self.fea_assembler.initialize(element_callback) + # Set up the problem + self.fea_problem = self.fea_assembler.createModalProblem('modal', sigma, num_modes) + self.retained_modes = list(range(num_modes)) + if exclude_modes is not None: self.retained_modes = list(np.delete(self.retained_modes, exclude_modes)) + # Select nodes from components + nodes_id = self._select_nodes(components_tag) + self.n_nodes = len(nodes_id) + # Create masks + self.x_mask = self._create_mask(nodes_id, 3) + self.q_mask = self._create_mask(nodes_id, 6) + # Save other parameters + self.write_solution = write_solution + + def get_mesh(self): + """Return OpenMDAO component to get the initial mesh coordinates + """ + return TacsMesh(fea_assembler=self.fea_assembler, x_mask=self.x_mask) + + def get_solver(self, scenario_name=''): + """Return OpenMDAO component containing the solver + """ + return TacsSolver(fea_assembler=self.fea_assembler, fea_problem=self.fea_problem, write_solution=self.write_solution, x_mask=self.x_mask, q_mask=self.q_mask, n_nodes=self.n_nodes, retained_modes=self.retained_modes) + + def get_number_of_nodes(self): + """Return the number of (true) nodes + """ + return self.n_nodes + + def get_number_of_dv(self): + """Return the number of degrees of freedom + """ + return self.fea_assembler.getTotalNumDesignVars() + + def _select_nodes(self, components): + """Select nodes from given components + + Parameters + ---------- + components : list[str] + List of tag names for which nodes will be included + """ + if components is None: + nodes_id = np.arange(self.fea_assembler.getNumOwnedNodes()) + else: + nodes_id = self.fea_assembler.getLocalNodeIDsForComps(self.fea_assembler.selectCompIDs(components)) + mults_id = self.fea_assembler.getLocalMultiplierNodeIDs() + return list(set(nodes_id) - set(mults_id)) + + def _create_mask(self, nodes_id, vars_node): + """Create a mask to recover array indices associated to retained true degrees of freedom + + Parameters + ---------- + nodes_id : list[int] + index of retained nodes + vars_node : int + Number of variables per node + """ + mask = np.full((self.fea_assembler.getNumOwnedNodes(), vars_node), False) + mask[nodes_id, :] = True + return mask.flatten()