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doi:10.3850/978-981-08-7619-7_P017
Global Reliability of Complex Nonlinear Structures
Jianbing Chena, Jie Lib and Jun Xuc
State Key Laboratory of Disaster Reduction in Civil Engineering & School of Civil Engineering, Tongji University, Shanghai 200092, P.R. China.
achenjb@tongji.edu.cn
blijie@tongji.edu.cn
c86xujun@tongji.edu.cn
ABSTRACT
The probability density evolution method is incorporated with the stochastic harmonic function for spectral representation of ground motions to implement stochastic seismic response analysis and global reliability evaluation of nonlinear structures. A 9-story shear frame under stochastic seismic excitation, which exhibits strong nonlinearity in structural behaviours, is investigated. The results indicate that the PDEM combined with the improved spectral representation is accurate and efficient not only for stochastic seismic response analysis, but also for global reliability assessment. Besides, the conclusion that it is imprudent to suppose the PDFs of stochastic seismic response and extreme value as regular distributions which may lead to errors could also be drawn from the numerical example.
Keywords: Probability density evolution, Spectral representation, Global reliability, Nonlinear structures.
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