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| Probability density evolution method-based aseismaticreliability analysis of nonlinear structures |
| LIU Zhangjun;LI Jie |
| 1. College of Civil & Hydroelectric Engineering, China Three Gorges University, Yichang 443002, China;2. School of Civil Engineering, Tongji University, Shanghai 200092, China
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Abstract Employing the orthogonal expansion method, earthquake acceleration process is represented as a linear combination of deterministic functions modulated by 10 independent random variables. So, it is natural to combine the probability density evolution method (PDEM) and the orthogonal expansion of seismic ground motion to study the nonlinear stochastic earthquake response. Furthermore, the aseismatic reliability of structures is assessed using the idea of equivalent extreme-value, which can be used accurately to evaluate structural systems under compound failure criterion. A hysteretic nonlinear structure is taken as an example. The failure probability and reliability of the nonlinear shear frame structure with 10 degrees of freedom subjected to stochastic ground motions are investigated. The result indicates the system reliability of the structure is lower than the reliability of each story. The investigation shows that the proposed approach is of fair accuracy and acceptable efficiency for seismic reliability.
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Received: 03 September 2008
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Corresponding Authors:
LIU Zhangjun
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2009, Vol. 28 
