├── IMs.py ├── regressionpy.py ├── regression ├── ln(Pier1_cdrift) Hist.eps ├── ln(Pier1_cdrift) Hist.png ├── ln(Bearing6_bdisp) Hist.eps ├── ln(Bearing6_bdisp) Hist.png ├── ln(Abutment2_adispa) Hist.eps ├── ln(Abutment2_adispa) Hist.png ├── ln(Abutment2_adispp) Hist.eps ├── ln(Abutment2_adispp) Hist.png ├── ln(Bearing6_bdisp) Residual.eps ├── ln(Bearing6_bdisp) Residual.png ├── ln(Pier1_cdrift) Regression.eps ├── ln(Pier1_cdrift) Regression.png ├── ln(Pier1_cdrift) Residual.eps ├── ln(Pier1_cdrift) Residual.png ├── ln(Abutment2_adispa) Residual.eps ├── ln(Abutment2_adispa) Residual.png ├── ln(Abutment2_adispp) Residual.eps ├── ln(Abutment2_adispp) Residual.png ├── ln(Bearing6_bdisp) Regression.eps ├── ln(Bearing6_bdisp) Regression.png ├── ln(Abutment2_adispa) Regression.eps ├── ln(Abutment2_adispa) Regression.png ├── ln(Abutment2_adispp) Regression.eps └── ln(Abutment2_adispp) Regression.png ├── fagilitycurve ├── Bearing6_bdisp FragilityCurve.eps ├── Bearing6_bdisp FragilityCurve.png ├── Pier1_cdrift FragilityCurve.eps ├── Pier1_cdrift FragilityCurve.png ├── Abutment2_adispa FragilityCurve.eps ├── Abutment2_adispa FragilityCurve.png ├── Abutment2_adispp FragilityCurve.eps └── Abutment2_adispp FragilityCurve.png ├── README.md ├── postprocessing ├── convergence.txt ├── Pier1_cdrift.txt ├── Abutment2_adispa.txt ├── Abutment2_adispp.txt └── Bearing6_bdisp.txt ├── IM ├── PGA.txt ├── PGD.txt └── PGV.txt ├── deltaT.txt ├── main.py ├── CalculateIMs.py ├── systemfragility.py ├── fragilitycurve.py └── FiltedAcceleration ├── 51.out ├── 63.out ├── 44.out └── 91.out /IMs.py: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/Penghui-Zhang/fragility-analysising-using-python/HEAD/IMs.py -------------------------------------------------------------------------------- /regressionpy.py: -------------------------------------------------------------------------------- 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You can find more details in the following paper, and please cite the paper when using or referencing the code: 6 | 7 | Zhang P, Yuan W, Wang Z and Qu H. Cost-based optimum design of the earthquake-resistant system for continuous skew overpasses. Structures 2022; 45: 2051–66 8 | ![image](https://github.com/Penghui0616/fragility-analysising-using-python/assets/42617930/732f7a1d-ab7f-4f04-8b7c-48088ddf7882) 9 | -------------------------------------------------------------------------------- /postprocessing/convergence.txt: -------------------------------------------------------------------------------- 1 | Yes 2 | Yes 3 | Yes 4 | Yes 5 | Yes 6 | Yes 7 | Yes 8 | Yes 9 | Yes 10 | Yes 11 | Yes 12 | Yes 13 | Yes 14 | Yes 15 | Yes 16 | Yes 17 | Yes 18 | Yes 19 | Yes 20 | Yes 21 | Yes 22 | Yes 23 | Yes 24 | Yes 25 | Yes 26 | Yes 27 | Yes 28 | Yes 29 | Yes 30 | Yes 31 | Yes 32 | Yes 33 | Yes 34 | Yes 35 | Yes 36 | Yes 37 | Yes 38 | Yes 39 | Yes 40 | Yes 41 | Yes 42 | Yes 43 | Yes 44 | Yes 45 | Yes 46 | Yes 47 | Yes 48 | Yes 49 | Yes 50 | Yes 51 | Yes 52 | Yes 53 | Yes 54 | Yes 55 | Yes 56 | Yes 57 | Yes 58 | Yes 59 | Yes 60 | Yes 61 | Yes 62 | Yes 63 | Yes 64 | Yes 65 | Yes 66 | Yes 67 | Yes 68 | Yes 69 | Yes 70 | Yes 71 | Yes 72 | Yes 73 | Yes 74 | Yes 75 | Yes 76 | Yes 77 | Yes 78 | Yes 79 | Yes 80 | Yes 81 | Yes 82 | Yes 83 | Yes 84 | Yes 85 | Yes 86 | Yes 87 | Yes 88 | Yes 89 | No 90 | Yes 91 | Yes 92 | Yes 93 | Yes 94 | Yes 95 | Yes 96 | Yes 97 | Yes 98 | Yes 99 | No 100 | Yes 101 | -------------------------------------------------------------------------------- /IM/PGA.txt: -------------------------------------------------------------------------------- 1 | 0.681023 2 | 0.552672 3 | 0.161212 4 | 0.155386 5 | 0.349328 6 | 0.262115 7 | 0.370428 8 | 0.152295 9 | 0.347856 10 | 0.300316 11 | 0.117957 12 | 0.617711 13 | 0.267392 14 | 0.348253 15 | 0.521709 16 | 0.135320 17 | 0.129491 18 | 0.349699 19 | 0.248491 20 | 0.155481 21 | 0.348749 22 | 0.596066 23 | 0.117595 24 | 0.289772 25 | 0.469087 26 | 0.363653 27 | 0.103283 28 | 0.112692 29 | 0.275375 30 | 0.123742 31 | 0.252510 32 | 0.622996 33 | 0.194483 34 | 0.271647 35 | 0.452275 36 | 0.610143 37 | 0.124482 38 | 0.554454 39 | 0.181330 40 | 0.136492 41 | 0.376032 42 | 0.331285 43 | 0.481354 44 | 0.258928 45 | 0.369994 46 | 0.210743 47 | 0.127202 48 | 0.317843 49 | 0.207128 50 | 0.366810 51 | 0.863946 52 | 0.269935 53 | 0.230560 54 | 0.165045 55 | 0.221450 56 | 0.191256 57 | 0.379360 58 | 0.340810 59 | 0.484311 60 | 0.466087 61 | 0.398047 62 | 0.283984 63 | 0.990238 64 | 0.180283 65 | 0.318148 66 | 0.923439 67 | 0.233340 68 | 0.147170 69 | 0.209388 70 | 0.149094 71 | 0.182801 72 | 0.326280 73 | 0.199618 74 | 0.129416 75 | 0.301459 76 | 0.128663 77 | 0.212035 78 | 0.528671 79 | 0.352618 80 | 0.236481 81 | 0.167089 82 | 0.449043 83 | 0.076698 84 | 0.063203 85 | 0.671056 86 | 0.142039 87 | 0.102891 88 | 0.216417 89 | 0.093774 90 | 0.231627 91 | 0.287257 92 | 0.191824 93 | 0.176789 94 | 0.203478 95 | 0.222772 96 | 0.280916 97 | 0.252699 98 | 0.364314 99 | 0.172739 100 | 0.104179 101 | -------------------------------------------------------------------------------- /deltaT.txt: -------------------------------------------------------------------------------- 1 | 0.010000 2 | 0.005000 3 | 0.005000 4 | 0.005000 5 | 0.010000 6 | 0.010000 7 | 0.005000 8 | 0.005000 9 | 0.010000 10 | 0.005000 11 | 0.005000 12 | 0.010000 13 | 0.005000 14 | 0.005000 15 | 0.010000 16 | 0.005000 17 | 0.005000 18 | 0.010000 19 | 0.005000 20 | 0.010000 21 | 0.005000 22 | 0.005000 23 | 0.005000 24 | 0.010000 25 | 0.005000 26 | 0.005000 27 | 0.004000 28 | 0.005000 29 | 0.005000 30 | 0.005000 31 | 0.005000 32 | 0.005000 33 | 0.005000 34 | 0.005000 35 | 0.005000 36 | 0.005000 37 | 0.010000 38 | 0.005000 39 | 0.004000 40 | 0.005000 41 | 0.005000 42 | 0.005000 43 | 0.005000 44 | 0.010000 45 | 0.005000 46 | 0.010000 47 | 0.005000 48 | 0.005000 49 | 0.005000 50 | 0.005000 51 | 0.006600 52 | 0.010000 53 | 0.005000 54 | 0.004000 55 | 0.005000 56 | 0.005000 57 | 0.005000 58 | 0.005000 59 | 0.005000 60 | 0.005000 61 | 0.005000 62 | 0.010000 63 | 0.020000 64 | 0.005000 65 | 0.010000 66 | 0.005000 67 | 0.005000 68 | 0.010000 69 | 0.005000 70 | 0.005000 71 | 0.005000 72 | 0.005000 73 | 0.005000 74 | 0.010000 75 | 0.005000 76 | 0.004000 77 | 0.005000 78 | 0.005000 79 | 0.005000 80 | 0.010000 81 | 0.005000 82 | 0.005000 83 | 0.004000 84 | 0.004000 85 | 0.010000 86 | 0.010000 87 | 0.004000 88 | 0.005000 89 | 0.005000 90 | 0.005000 91 | 0.010000 92 | 0.005000 93 | 0.005000 94 | 0.005000 95 | 0.005000 96 | 0.010000 97 | 0.005000 98 | 0.005000 99 | 0.005000 100 | 0.005000 101 | -------------------------------------------------------------------------------- /postprocessing/Pier1_cdrift.txt: -------------------------------------------------------------------------------- 1 | 0.038161 2 | 0.018138 3 | 0.001082 4 | 0.005400 5 | 0.003580 6 | 0.013043 7 | 0.015440 8 | 0.004442 9 | 0.025043 10 | 0.007809 11 | 0.001163 12 | 0.056321 13 | 0.007258 14 | 0.012360 15 | 0.030656 16 | 0.005409 17 | 0.003579 18 | 0.010606 19 | 0.006328 20 | 0.002021 21 | 0.003547 22 | 0.021386 23 | 0.001682 24 | 0.018842 25 | 0.021759 26 | 0.021583 27 | 0.003855 28 | 0.001421 29 | 0.003381 30 | 0.004294 31 | 0.013481 32 | 0.024575 33 | 0.007451 34 | 0.007870 35 | 0.012077 36 | 0.010533 37 | 0.002017 38 | 0.008068 39 | 0.003951 40 | 0.001876 41 | 0.008177 42 | 0.009249 43 | 0.011647 44 | 0.002455 45 | 0.010034 46 | 0.006138 47 | 0.005937 48 | 0.019276 49 | 0.008962 50 | 0.004889 51 | 0.012633 52 | 0.004839 53 | 0.002344 54 | 0.001314 55 | 0.007145 56 | 0.004828 57 | 0.007240 58 | 0.012209 59 | 0.012396 60 | 0.008422 61 | 0.018346 62 | 0.007445 63 | 0.012633 64 | 0.008441 65 | 0.013119 66 | 0.038445 67 | 0.007219 68 | 0.003627 69 | 0.004442 70 | 0.001860 71 | 0.004864 72 | 0.010291 73 | 0.003187 74 | 0.005126 75 | 0.007489 76 | 0.002647 77 | 0.009589 78 | 0.007339 79 | 0.008949 80 | 0.006918 81 | 0.002802 82 | 0.017023 83 | 0.002622 84 | 0.001979 85 | 0.042925 86 | 0.003305 87 | 0.002218 88 | 0.007800 89 | 0.001554 90 | 0.008718 91 | 0.006693 92 | 0.014178 93 | 0.002123 94 | 0.002078 95 | 0.006031 96 | 0.011543 97 | 0.005295 98 | 0.007955 99 | 0.004722 100 | 0.001707 101 | -------------------------------------------------------------------------------- /postprocessing/Abutment2_adispa.txt: -------------------------------------------------------------------------------- 1 | 0.021086 2 | 0.044893 3 | 0.015088 4 | 0.021379 5 | 0.018836 6 | 0.023743 7 | 0.017219 8 | 0.023171 9 | 0.025122 10 | 0.039820 11 | 0.009992 12 | 0.090598 13 | 0.019781 14 | 0.020210 15 | 0.021141 16 | 0.017144 17 | 0.010035 18 | 0.034141 19 | 0.021911 20 | 0.012813 21 | 0.030786 22 | 0.037572 23 | 0.007047 24 | 0.018041 25 | 0.032718 26 | 0.049881 27 | 0.008635 28 | 0.012427 29 | 0.029762 30 | 0.008165 31 | 0.026391 32 | 0.061987 33 | 0.017779 34 | 0.027833 35 | 0.020757 36 | 0.025396 37 | 0.010934 38 | 0.062939 39 | 0.020142 40 | 0.011671 41 | 0.042764 42 | 0.041363 43 | 0.034749 44 | 0.015215 45 | 0.040658 46 | 0.014748 47 | 0.007170 48 | 0.062439 49 | 0.018322 50 | 0.063352 51 | 0.042171 52 | 0.016942 53 | 0.028044 54 | 0.008017 55 | 0.037553 56 | 0.020853 57 | 0.041545 58 | 0.027814 59 | 0.039105 60 | 0.021944 61 | 0.034986 62 | 0.017794 63 | 0.127656 64 | 0.011611 65 | 0.029710 66 | 0.051955 67 | 0.023649 68 | 0.012301 69 | 0.013167 70 | 0.012077 71 | 0.017923 72 | 0.046867 73 | 0.027670 74 | 0.033654 75 | 0.035430 76 | 0.009566 77 | 0.026033 78 | 0.025922 79 | 0.042538 80 | 0.031362 81 | 0.016282 82 | 0.024475 83 | 0.006270 84 | 0.004837 85 | 0.092133 86 | 0.008862 87 | 0.009244 88 | 0.015276 89 | 0.010468 90 | 0.020230 91 | 0.014260 92 | 0.011422 93 | 0.018574 94 | 0.019245 95 | 0.017552 96 | 0.025844 97 | 0.022460 98 | 0.058541 99 | 0.011993 100 | 0.010947 101 | -------------------------------------------------------------------------------- /postprocessing/Abutment2_adispp.txt: -------------------------------------------------------------------------------- 1 | 0.204240 2 | 0.026291 3 | 0.007736 4 | 0.010296 5 | 0.010398 6 | 0.013948 7 | 0.019579 8 | 0.013014 9 | 0.086823 10 | 0.017230 11 | 0.005147 12 | 0.133069 13 | 0.010323 14 | 0.009664 15 | 0.034883 16 | 0.008352 17 | 0.004455 18 | 0.016609 19 | 0.011709 20 | 0.007168 21 | 0.015867 22 | 0.057407 23 | 0.003282 24 | 0.008121 25 | 0.018075 26 | 0.024205 27 | 0.004347 28 | 0.006363 29 | 0.016624 30 | 0.003723 31 | 0.009518 32 | 0.069638 33 | 0.008502 34 | 0.015948 35 | 0.012456 36 | 0.012431 37 | 0.006038 38 | 0.027322 39 | 0.011294 40 | 0.005533 41 | 0.022806 42 | 0.021727 43 | 0.018664 44 | 0.008934 45 | 0.015944 46 | 0.008213 47 | 0.004711 48 | 0.026733 49 | 0.009944 50 | 0.027136 51 | 0.023761 52 | 0.008519 53 | 0.015081 54 | 0.004096 55 | 0.018844 56 | 0.011867 57 | 0.021774 58 | 0.011459 59 | 0.018698 60 | 0.009619 61 | 0.017353 62 | 0.009699 63 | 0.044745 64 | 0.006166 65 | 0.015498 66 | 0.082738 67 | 0.015420 68 | 0.006540 69 | 0.007909 70 | 0.006502 71 | 0.008269 72 | 0.022148 73 | 0.012271 74 | 0.016556 75 | 0.017980 76 | 0.005532 77 | 0.014342 78 | 0.016349 79 | 0.019800 80 | 0.017109 81 | 0.008031 82 | 0.029075 83 | 0.003697 84 | 0.002445 85 | 0.247160 86 | 0.005890 87 | 0.004972 88 | 0.009083 89 | 0.005266 90 | 0.010730 91 | 0.006049 92 | 0.008386 93 | 0.010283 94 | 0.008277 95 | 0.009028 96 | 0.013187 97 | 0.012626 98 | 0.029833 99 | 0.006328 100 | 0.005495 101 | -------------------------------------------------------------------------------- /postprocessing/Bearing6_bdisp.txt: -------------------------------------------------------------------------------- 1 | 0.397560 2 | 0.184562 3 | 0.032254 4 | 0.059644 5 | 0.049785 6 | 0.161996 7 | 0.181730 8 | 0.076363 9 | 0.266877 10 | 0.112322 11 | 0.036977 12 | 0.533596 13 | 0.096790 14 | 0.154151 15 | 0.304990 16 | 0.082505 17 | 0.054840 18 | 0.100883 19 | 0.110889 20 | 0.046704 21 | 0.065665 22 | 0.242823 23 | 0.036261 24 | 0.180242 25 | 0.216946 26 | 0.216572 27 | 0.055207 28 | 0.029856 29 | 0.052140 30 | 0.064337 31 | 0.149685 32 | 0.248588 33 | 0.099912 34 | 0.106983 35 | 0.122087 36 | 0.133050 37 | 0.040852 38 | 0.109954 39 | 0.058354 40 | 0.040340 41 | 0.120712 42 | 0.115255 43 | 0.126083 44 | 0.047764 45 | 0.131560 46 | 0.077200 47 | 0.076457 48 | 0.193866 49 | 0.118306 50 | 0.071173 51 | 0.119008 52 | 0.072131 53 | 0.043241 54 | 0.031573 55 | 0.067363 56 | 0.073751 57 | 0.061174 58 | 0.111741 59 | 0.119742 60 | 0.088244 61 | 0.185275 62 | 0.076459 63 | 0.154815 64 | 0.097244 65 | 0.125768 66 | 0.367735 67 | 0.104889 68 | 0.055031 69 | 0.084780 70 | 0.042625 71 | 0.070167 72 | 0.129314 73 | 0.059902 74 | 0.079140 75 | 0.062526 76 | 0.045186 77 | 0.128807 78 | 0.094727 79 | 0.093404 80 | 0.090486 81 | 0.047380 82 | 0.193741 83 | 0.059172 84 | 0.038285 85 | 0.445113 86 | 0.056524 87 | 0.038135 88 | 0.107306 89 | 0.036209 90 | 0.109577 91 | 0.067399 92 | 0.158634 93 | 0.047532 94 | 0.045731 95 | 0.091405 96 | 0.114400 97 | 0.082750 98 | 0.117471 99 | 0.066470 100 | 0.038292 101 | -------------------------------------------------------------------------------- /IM/PGD.txt: -------------------------------------------------------------------------------- 1 | 64.515798 2 | 25.999654 3 | 3.670115 4 | 11.297973 5 | 4.722320 6 | 8.257277 7 | 74.267604 8 | 11.574864 9 | 39.305942 10 | 6.381838 11 | 10.916375 12 | 39.944461 13 | 20.743412 14 | 30.472568 15 | 34.749087 16 | 9.916173 17 | 12.737330 18 | 20.177517 19 | 48.226924 20 | 5.002065 21 | 3.308657 22 | 38.443264 23 | 27.010317 24 | 30.720609 25 | 46.943815 26 | 21.206533 27 | 42.437669 28 | 7.423916 29 | 20.821510 30 | 47.058195 31 | 8.739267 32 | 39.442248 33 | 49.087291 34 | 41.040085 35 | 14.898931 36 | 41.775596 37 | 5.900309 38 | 18.736701 39 | 14.214288 40 | 4.696021 41 | 21.172490 42 | 54.649273 43 | 16.374607 44 | 3.351588 45 | 43.756845 46 | 24.162555 47 | 49.825916 48 | 24.068246 49 | 19.628154 50 | 25.090452 51 | 20.717589 52 | 9.295520 53 | 11.816840 54 | 10.704244 55 | 35.830881 56 | 19.611559 57 | 21.323690 58 | 27.994596 59 | 25.136626 60 | 41.128620 61 | 74.053102 62 | 28.159960 63 | 30.857347 64 | 37.160354 65 | 24.487051 66 | 22.195016 67 | 21.471252 68 | 10.708421 69 | 59.917863 70 | 7.660555 71 | 17.375198 72 | 10.901067 73 | 8.810831 74 | 8.081453 75 | 12.170807 76 | 19.790756 77 | 16.989785 78 | 48.881336 79 | 57.151845 80 | 15.142331 81 | 36.528659 82 | 72.887758 83 | 18.206155 84 | 17.249653 85 | 29.619956 86 | 6.224209 87 | 14.613719 88 | 17.744007 89 | 9.218474 90 | 28.781202 91 | 9.359945 92 | 26.808893 93 | 8.135766 94 | 15.885866 95 | 48.652809 96 | 56.378923 97 | 30.942060 98 | 23.440166 99 | 14.963363 100 | 7.698905 101 | -------------------------------------------------------------------------------- /IM/PGV.txt: -------------------------------------------------------------------------------- 1 | 109.338717 2 | 56.637741 3 | 12.073577 4 | 21.272316 5 | 20.597865 6 | 34.922487 7 | 80.414725 8 | 21.628936 9 | 90.671587 10 | 39.401015 11 | 16.133600 12 | 120.676386 13 | 47.973592 14 | 75.353572 15 | 83.834386 16 | 24.248917 17 | 34.201230 18 | 32.999120 19 | 38.345679 20 | 11.405626 21 | 17.308846 22 | 81.275163 23 | 42.528169 24 | 51.139380 25 | 113.139384 26 | 61.264541 27 | 53.219474 28 | 11.081251 29 | 19.548755 30 | 56.288086 31 | 42.641091 32 | 116.252953 33 | 59.166439 34 | 40.466161 35 | 46.788104 36 | 54.491056 37 | 15.118660 38 | 29.304821 39 | 26.629660 40 | 10.545340 41 | 37.835267 42 | 72.605721 43 | 40.944293 44 | 14.970379 45 | 47.616843 46 | 31.325517 47 | 53.318785 48 | 74.852408 49 | 34.961657 50 | 36.018334 51 | 67.652950 52 | 24.802489 53 | 13.739059 54 | 16.027683 55 | 51.459798 56 | 23.618235 57 | 44.610128 58 | 51.680643 59 | 39.644822 60 | 52.082091 61 | 109.211163 62 | 31.377126 63 | 77.861363 64 | 56.588201 65 | 46.468743 66 | 88.529984 67 | 33.464603 68 | 31.416500 69 | 67.197893 70 | 16.434218 71 | 21.345121 72 | 45.319323 73 | 17.432598 74 | 19.528920 75 | 32.738102 76 | 31.098604 77 | 38.439419 78 | 48.910800 79 | 75.576662 80 | 33.329103 81 | 37.591767 82 | 113.553579 83 | 24.431587 84 | 21.846101 85 | 122.963671 86 | 19.694262 87 | 21.347325 88 | 38.859992 89 | 13.088377 90 | 46.377246 91 | 34.935565 92 | 48.748658 93 | 18.131868 94 | 18.658870 95 | 56.238183 96 | 52.050737 97 | 36.519288 98 | 45.611361 99 | 23.511797 100 | 9.094390 101 | -------------------------------------------------------------------------------- /main.py: -------------------------------------------------------------------------------- 1 | #!/usr/bin/env python 2 | # -*- coding:utf-8 -*- 3 | # @Author : Penghui Zhang 4 | # @Email : penghui@tongji.edu.cn 5 | import numpy as np 6 | import math 7 | import os 8 | import regressionpy 9 | import fragilitycurve 10 | import systemfragility 11 | import matplotlib as mpl 12 | import matplotlib.pyplot as plt 13 | 14 | plt.rcParams.update({'figure.max_open_warning': 0}) #解除plt打开图片数量限制 15 | 16 | cwd=os.getcwd() 17 | if not os.path.exists(cwd+'/regression'): 18 | os.mkdir('regression') 19 | if not os.path.exists(cwd+'/fagilitycurve'): 20 | os.mkdir('fagilitycurve') 21 | 22 | im = 'PGA' 23 | edps = ['Abutment2_adispa', 'Abutment2_adispp', 'Bearing6_bdisp', 'Pier1_cdrift'] 24 | #edps = ['Abutment2_adispa', 'Abutment2_adispp'] 25 | np.random.seed(6) #随机种子 26 | 27 | with open(cwd+'/postprocessing/convergence.txt','r') as f: 28 | convergence = np.array(f.read().split('\n')) 29 | deleteIndex = np.argwhere(convergence=='No') 30 | 31 | 32 | gmNumber = int(len(np.delete(convergence, deleteIndex))-1) 33 | edpNumber = int(len(edps)) 34 | 35 | originalLnEDP = np.zeros((gmNumber,edpNumber)) 36 | originalLnEDPbc = np.zeros((gmNumber,edpNumber)) 37 | 38 | lmCoeffictionList = [] 39 | lmInterceptList = [] 40 | 41 | results = os.listdir('postprocessing') 42 | 43 | for i in range(len(edps)): 44 | for result in results: 45 | if edps[i] in result: 46 | componentEDP = result 47 | lnIM = np.array([math.log(x) for x in np.loadtxt(cwd+'/IM/'+im+'.txt')]) 48 | lnEDP = np.array([math.log(x) for x in np.loadtxt(cwd+'/postprocessing/'+componentEDP)]) 49 | 50 | #删除不收敛的地震波 51 | lnIM = np.delete(lnIM, deleteIndex).copy() 52 | lnEDP = np.delete(lnEDP, deleteIndex).copy() 53 | originalLnEDP[:,i] = lnEDP.copy() 54 | 55 | #线性回归(作为比较) 56 | lmRegression = regressionpy.LinerRegression('ln({})'.format(im),'ln({})'.format(edps[i])) 57 | lmBeltad = lmRegression.scatterPlot(lnIM, lnEDP) 58 | lmRegression.residualPlot(lnIM, lnEDP) 59 | lmRegression.residualHist(lnIM, lnEDP) 60 | lmCoeffiction = lmRegression.coeffiction 61 | lmIntercept = lmRegression.intercept 62 | lmCoeffictionList.append(lmCoeffiction[0]) 63 | lmInterceptList.append(lmIntercept[0]) 64 | 65 | #画构件易损性曲线曲线 66 | immin = math.pow(math.e, np.min(lnIM)) 67 | immax = math.pow(math.e, np.max(lnIM)) 68 | imRange = [0.001, 1.00] 69 | fragility = fragilitycurve.FragilityCurve(im, edps[i]) 70 | fragility.fragilityCurvePlot (imRange,lmIntercept, lmCoeffiction, lmBeltad) 71 | 72 | #画体系易损性曲线 73 | immin = math.pow(math.e, np.min(lnIM)) 74 | immax = math.pow(math.e, np.max(lnIM)) 75 | imRange = [0.001, 1] 76 | systemFragility = systemfragility.SystemFragilityCurve(im, edps) 77 | systemFragility.systemFragilityCurvePlot (imRange, originalLnEDP, lmCoeffictionList, lmInterceptList) 78 | 79 | print(str(gmNumber) + ' ground motions are convergent.') 80 | 81 | 82 | 83 | -------------------------------------------------------------------------------- /CalculateIMs.py: -------------------------------------------------------------------------------- 1 | #-*-coding: UTF-8-*- 2 | import numpy as np 3 | import math 4 | import os 5 | import IMs 6 | import xlrd 7 | import xlwt 8 | 9 | dt=np.loadtxt("deltaT.txt") 10 | m=len(dt) 11 | 12 | cwd=os.getcwd() 13 | if not os.path.exists(cwd+'/IM'): 14 | os.mkdir('IM') 15 | 16 | 17 | pga = [] 18 | pgv = [] 19 | pgd = [] 20 | vda = [] 21 | aRMS = [] 22 | vRMS = [] 23 | dRMS = [] 24 | ai = [] 25 | ic = [] 26 | sed = [] 27 | cav = [] 28 | asi = [] 29 | vsi = [] 30 | sma = [] 31 | smv = [] 32 | eda = [] 33 | a95 = [] 34 | tpre = [] 35 | tm = [] 36 | td = [] 37 | ia = [] 38 | fi = [] 39 | iv = [] 40 | iD = [] 41 | sa02 = [] 42 | sa10 = [] 43 | 44 | for i1 in range(m): 45 | cwd=os.getcwd() 46 | pathall=os.path.join(cwd,'FiltedAcceleration/',str(i1+1)+".out") 47 | txtopen=np.loadtxt(pathall) 48 | imInstance=IMs.IMs(txtopen,dt[i1]) 49 | 50 | pga.append(imInstance.PGA()) 51 | pgv.append(imInstance.PGV()) 52 | pgd.append(imInstance.PGD()) 53 | vda.append(imInstance.VmaxDivAmax()) 54 | aRMS.append(imInstance.aRMS()) 55 | vRMS.append(imInstance.vRMS()) 56 | dRMS.append(imInstance.dRMS()) 57 | ai.append(imInstance.AI()) 58 | ic.append(imInstance.Ic()) 59 | sed.append(imInstance.SED()) 60 | cav.append(imInstance.CAV()) 61 | asi.append(imInstance.ASI()) 62 | vsi.append(imInstance.VSI()) 63 | sma.append(imInstance.SMA()) 64 | smv.append(imInstance.SMV()) 65 | eda.append(imInstance.EDA()) 66 | a95.append(imInstance.A95()) 67 | tpre.append(imInstance.Tpre()) 68 | tm.append(imInstance.Tm()) 69 | td_single, ia_single=imInstance.Ia() 70 | td.append(td_single) 71 | ia.append(ia_single) 72 | fi.append(imInstance.FI()) 73 | iv.append(imInstance.Iv()) 74 | iD.append(imInstance.Id()) 75 | T02_single,sa02_single,sv02_single,sd02_single=imInstance.SpPiecewise (1,0.2,0.05) 76 | T10_single,sa10_single,sv10_single,sd10_single=imInstance.SpPiecewise (1,1,0.05) 77 | sa02.append(sa02_single) 78 | sa10.append(sa10_single) 79 | 80 | np.savetxt(cwd+'\\IM\\PGA.txt', np.array(pga).T, fmt='%f') 81 | np.savetxt(cwd+'\\IM\\PGV.txt', np.array(pgv).T, fmt='%f') 82 | np.savetxt(cwd+'\\IM\\PGD.txt', np.array(pgd).T, fmt='%f') 83 | np.savetxt(cwd+'\\IM\\VdivA.txt', np.array(vda).T, fmt='%f') 84 | np.savetxt(cwd+'\\IM\\aRMS.txt', np.array(aRMS).T, fmt='%f') 85 | np.savetxt(cwd+'\\IM\\vRMS.txt', np.array(vRMS).T, fmt='%f') 86 | np.savetxt(cwd+'\\IM\\dRMS.txt', np.array(dRMS).T, fmt='%f') 87 | np.savetxt(cwd+'\\IM\\AI.txt', np.array(ai).T, fmt='%f') 88 | np.savetxt(cwd+'\\IM\\IC.txt', np.array(ic).T, fmt='%f') 89 | np.savetxt(cwd+'\\IM\\SED.txt', np.array(sed).T, fmt='%f') 90 | np.savetxt(cwd+'\\IM\\CAV.txt', np.array(cav).T, fmt='%f') 91 | np.savetxt(cwd+'\\IM\\ASI.txt', np.array(asi).T, fmt='%f') 92 | np.savetxt(cwd+'\\IM\\VSI.txt', np.array(vsi).T, fmt='%f') 93 | np.savetxt(cwd+'\\IM\\SMA.txt', np.array(sma).T, fmt='%f') 94 | np.savetxt(cwd+'\\IM\\SMV.txt', np.array(smv).T, fmt='%f') 95 | np.savetxt(cwd+'\\IM\\EDA.txt', np.array(eda).T, fmt='%f') 96 | np.savetxt(cwd+'\\IM\\A95.txt', np.array(a95).T, fmt='%f') 97 | np.savetxt(cwd+'\\IM\\Tpre.txt', np.array(tpre).T, fmt='%f') 98 | np.savetxt(cwd+'\\IM\\Tm.txt', np.array(tm).T, fmt='%f') 99 | np.savetxt(cwd+'\\IM\\Td.txt', np.array(td).T, fmt='%f') 100 | np.savetxt(cwd+'\\IM\\Ia.txt', np.array(ia).T, fmt='%f') 101 | np.savetxt(cwd+'\\IM\\FI.txt', np.array(fi).T, fmt='%f') 102 | np.savetxt(cwd+'\\IM\\Iv.txt', np.array(iv).T, fmt='%f') 103 | np.savetxt(cwd+'\\IM\\Id.txt', np.array(iD).T, fmt='%f') 104 | np.savetxt(cwd+'\\IM\\Sa02.txt', np.array(sa02).T, fmt='%f') 105 | np.savetxt(cwd+'\\IM\\Sa10.txt', np.array(sa10).T, fmt='%f') -------------------------------------------------------------------------------- /systemfragility.py: -------------------------------------------------------------------------------- 1 | #!/usr/bin/env python 2 | # -*- coding:utf-8 -*- 3 | # @Author : Penghui Zhang 4 | # @Email : penghui@tongji.edu.cn 5 | 6 | import numpy as np 7 | import math 8 | import os 9 | import matplotlib.pyplot as plt 10 | 11 | class SystemFragilityCurve: 12 | def __init__ (self, im, edps): 13 | self.im = im 14 | self.edps = edps 15 | self.n = 100000 #蒙特卡洛抽样次数 16 | self.dot = 30 #易损性曲线点数 17 | 18 | def lmDemandModel (self, originalLnEDP, lnIM, lmCoeffictionList, lmInterceptList): 19 | covMtrix = np.cov(originalLnEDP.T) 20 | lnSdmean = np.array(lmCoeffictionList) * lnIM + np.array(lmInterceptList) 21 | lnDemand = np.random.multivariate_normal(mean=lnSdmean, cov=covMtrix, size=self.n) 22 | lmDemand = pow(math.e, lnDemand) 23 | return lmDemand 24 | 25 | def componentCapcityModel (self, edp): 26 | #对单个构件的能力抽样 27 | capacity = np.ones((self.n, 4))*(10**8) 28 | if edp.split('_')[1]=='cdrift': 29 | sc = np.array([0.005, 0.01, 0.02, 0.025]) 30 | beltac = np.array([0.0025, 0.0025, 0.0046, 0.0046]) 31 | for i in range(self.n): 32 | flag = 1 33 | while flag: 34 | randomArray = np.array([np.random.lognormal(mean=math.log(sc[0]), sigma=beltac[0], size=None),\ 35 | np.random.lognormal(mean=math.log(sc[1]), sigma=beltac[1], size=None),\ 36 | np.random.lognormal(mean=math.log(sc[2]), sigma=beltac[2], size=None),\ 37 | np.random.lognormal(mean=math.log(sc[3]), sigma=beltac[3], size=None)]) 38 | if randomArray[0]systemCapacity[:,:,0].T, axis=1)>0)/self.n) 109 | lmFragilityLS2.append(np.sum(np.sum(lmDemand>systemCapacity[:,:,1].T, axis=1)>0)/self.n) 110 | lmFragilityLS3.append(np.sum(np.sum(lmDemand>systemCapacity[:,:,2].T, axis=1)>0)/self.n) 111 | lmFragilityLS4.append(np.sum(np.sum(lmDemand>systemCapacity[:,:,3].T, axis=1)>0)/self.n) 112 | 113 | 114 | #画出体系易损性曲线 115 | width=self.mmToInches(70) 116 | height=self.mmToInches(50) 117 | fig = plt.figure(facecolor="white", figsize=(width, height)) 118 | 119 | plt.plot(imList,lmFragilityLS1,color='red',linestyle=':',linewidth=1,label='LS1') 120 | plt.plot(imList,lmFragilityLS2,color='red',linestyle='-.',linewidth=1,label='LS2') 121 | plt.plot(imList,lmFragilityLS3,color='red',linestyle='--',linewidth=1,label='LS3') 122 | plt.plot(imList,lmFragilityLS4,color='red',linestyle='-',linewidth=1,label='LS4') 123 | 124 | 125 | plt.xlabel(self.im,size=8) 126 | plt.ylabel('probaility',size=8) 127 | plt.xlim(imRange[0], imRange[1]) 128 | plt.ylim(0, 1) 129 | plt.legend(loc='lower right',frameon=True,edgecolor='black',fontsize=6) 130 | 131 | ax=plt.gca() 132 | ax.tick_params(direction='in') 133 | labels = ax.get_xticklabels() + ax.get_yticklabels() 134 | [label.set_fontname('Times New Roman') for label in labels] 135 | 136 | plt.savefig('fagilitycurve/SystemFragilityCurve.png',dpi = 960, bbox_inches="tight") 137 | plt.savefig('fagilitycurve/SystemFragilityCurve.eps',dpi = 960, bbox_inches="tight") 138 | -------------------------------------------------------------------------------- /fragilitycurve.py: -------------------------------------------------------------------------------- 1 | #!/usr/bin/env python 2 | # -*- coding:utf-8 -*- 3 | # @Author : Penghui Zhang 4 | # @Email : penghui@tongji.edu.cn 5 | 6 | import matplotlib.pyplot as plt 7 | import numpy as np 8 | import math 9 | 10 | class FragilityCurve: 11 | def __init__ (self, im, edp): 12 | self.im = im 13 | self.edp = edp 14 | self.n = 100000 #蒙特卡洛抽样次数 15 | self.dot = 30 #易损性曲线点数 16 | 17 | def capcityModel (self): 18 | #能力模型生成100000行的抽样矩阵 19 | capacity = None 20 | if self.edp.split('_')[1]=='cdrift': 21 | sc = np.array([0.005, 0.01, 0.02, 0.025]) 22 | beltac = np.array([0.0025, 0.0025, 0.0046, 0.0046]) 23 | capacity = np.zeros((self.n, 4)) 24 | for i in range(self.n): 25 | flag = 1 26 | while flag: 27 | randomArray = np.array([np.random.lognormal(mean=math.log(sc[0]), sigma=beltac[0], size=None),\ 28 | np.random.lognormal(mean=math.log(sc[1]), sigma=beltac[1], size=None),\ 29 | np.random.lognormal(mean=math.log(sc[2]), sigma=beltac[2], size=None),\ 30 | np.random.lognormal(mean=math.log(sc[3]), sigma=beltac[3], size=None)]) 31 | if randomArray[0]capacity, axis=0)/self.n 108 | print('lmfragility: ',lmfragility[i,:]) 109 | 110 | #画出易损性曲线 111 | width=self.mmToInches(70) 112 | height=self.mmToInches(50) 113 | fig = plt.figure(facecolor="white", figsize=(width, height)) 114 | 115 | if self.edp.split('_')[1] == 'cdrift': 116 | plt.plot(imList,lmfragility[:,0],color='red',linestyle=':',linewidth=1,label='LS1') 117 | plt.plot(imList,lmfragility[:,1],color='red',linestyle='-.',linewidth=1,label='LS2') 118 | plt.plot(imList,lmfragility[:,2],color='red',linestyle='--',linewidth=1,label='LS3') 119 | plt.plot(imList,lmfragility[:,3],color='red',linestyle='-',linewidth=1,label='LS4') 120 | 121 | elif self.edp.split('_')[1] == 'bdisp': 122 | plt.plot(imList,lmfragility[:,0],color='red',linestyle=':',linewidth=1,label='LS1') 123 | plt.plot(imList,lmfragility[:,1],color='red',linestyle='-.',linewidth=1,label='LS2') 124 | 125 | elif self.edp.split('_')[1] == 'adispa': 126 | plt.plot(imList,lmfragility[:,0],color='red',linestyle=':',linewidth=1,label='LS1') 127 | plt.plot(imList,lmfragility[:,1],color='red',linestyle='-.',linewidth=1,label='LS2') 128 | plt.plot(imList,lmfragility[:,2],color='red',linestyle='--',linewidth=1,label='LS3') 129 | 130 | elif self.edp.split('_')[1] == 'adispp': 131 | plt.plot(imList,lmfragility[:,0],color='red',linestyle=':',linewidth=1,label='LS1') 132 | plt.plot(imList,lmfragility[:,1],color='red',linestyle='-.',linewidth=1,label='LS2') 133 | 134 | 135 | plt.xlabel(self.im,size=8) 136 | plt.ylabel('probability',size=8) 137 | plt.xlim(imRange[0], imRange[1]) 138 | plt.ylim(0, 1) 139 | plt.legend(loc='lower right',frameon=True,edgecolor='black',fontsize=6) 140 | 141 | ax=plt.gca() 142 | ax.tick_params(direction='in') 143 | labels = ax.get_xticklabels() + ax.get_yticklabels() 144 | [label.set_fontname('Times New Roman') for label in labels] 145 | 146 | plt.savefig('fagilitycurve/'+self.edp+" FragilityCurve.png",dpi = 960, bbox_inches="tight") 147 | plt.savefig('fagilitycurve/'+self.edp+" FragilityCurve.eps",dpi = 960, bbox_inches="tight") 148 | 149 | 150 | 151 | -------------------------------------------------------------------------------- /FiltedAcceleration/51.out: -------------------------------------------------------------------------------- 1 | .1361168E-01 2 | .1365572E-01 3 | .1369916E-01 4 | .1374234E-01 5 | .1378455E-01 6 | .1382647E-01 7 | .1386574E-01 8 | .1390532E-01 9 | .1394229E-01 10 | .1397895E-01 11 | .1401236E-01 12 | .1405400E-01 13 | .1408164E-01 14 | .1409516E-01 15 | .1410229E-01 16 | .1411918E-01 17 | .1413869E-01 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