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| Structure seismic multidimensional fragility analysis based on convex set model |
| Received:March 01, 2020 Revised:May 22, 2020 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20200301001 |
| KeyWord:multidimensional fragility seismic convex set model average information entropy interval estimation |
| Author | Institution |
| 贾大卫 |
西北工业大学 力学与土木建筑学院, 西安 |
| 吴子燕 |
西北工业大学 力学与土木建筑学院, 西安 |
| 何乡 |
西北工业大学 力学与土木建筑学院, 西安 |
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| Abstract: |
| The convex set model is applied to the multi-dimensional seismic fragility analysis.An RC frame structure model is established,the maximum layer displacement angle and maximum layer acceleration are selected to establish the multi-dimensional performance limit state equation.Based on the average information entropy theory,the interval estimation of the two parameters is obtained.Considering the ellipsoid model and the interval model,the sample points are generated by Latin hypercube sampling in the standard space,and they are then mapped into the convex set space by matrix transformation to establish a convex set model.The convex set variable sample points are substituted into the limit state equation,and the fragility analysis is performed.The probabilistic models is used for comparison calculations.The research shows that compared with the probability model,when PGA is small,the probability of failure of the convex set model is large,and when PGA is large,the damage probability of the convex set model is small;The difference between the analysis results of the ellipsoid model and the convex set model is small,and the difference between the failure probability under each PGA is only 0.05~0.1.So the difference of different convex set types can be ignored. |
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