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| Seismic vulnerability analysis of bridge structure based on BOX-COX transformation |
| ZHANG Penghui, GUO Junjun, ZHOU Lianxu, YUAN Wancheng |
| State Key Lab of Disaster Reduction in Civil Engineering, Tongji University, Shanghai 200092, China |
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Abstract The cloud chart method is one of the main methods for calculating theoretical vulnerability curves, but its assumptions of linearity, normality and homoscedasticity to simplify calculation often deviate from the reality. Here, in order to solve this problem, a new vulnerability analysis method was proposed by combining BOX-COX transformation and Monte Carlo sampling technique. It was shown that this method doesn’t increase the number of nonlinear time history analysis, and it doesn’t need to satisfy 3 basic assumptions of the cloud chart method. A 3-span pre-stressed concrete continuous girder bridge was taken as an example to verify the effectiveness of the proposed method. The calculation results obtained with the proposed method were compared to those with the cloud chart method taking significance levels of determination coefficient, kernel density estimation curve, and rank-correlation coefficient as the evaluation indexes. Results showed that BOX-COX transformation can improve linearity, normality and homoscedasticity of the probabilistic seismic demand model (PSDM) to ensure the correctness of vulnerability analysis results; when PSDM has heteroscedasticity, using the cloud chart method can cause distortion of structural vulnerability curve calculation results, and the higher the damage degree corresponding to the limit state, the more obvious the vulnerability curve deviates from the reality.
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Received: 11 June 2019
Published: 15 January 2021
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