PDEM-BASED SEISMIC RESPONSE AND RELIABILITY ANALYSIS OF STRUCTURES
The first part of the paper introduces an orthogonal expansion method for earthquake ground motion. In the method, seismic acceleration process is represented as a linear combination of deterministic functions modulated by 10 uncorrelated random variables. In the second part of the paper, the recently developed probability density evolution method (PDEM) is employed to study nonlinear random response of structures which are subjected to the external excitations. In the PDEM, a completely uncoupled onedimensional governing partial differential equation, the generalized density evolution equation, is derived first with regard to evolutionary probability density function of the stochastic response for nonlinear structures. The solution of this equation can put out the instantaneous probability density function. So it is natural to combine the PDEM and the orthogonal expansion of seismic ground motion to study the nonlinear random earthquake response. Furthermore, the aseismatic reliability of structures is assessed using the idea of equivalent extremevalue, which can be used accurately to evaluate structural systems under compound failure criterion. Finally, an example, which deals with a nonlinear frame structure subjected to ground motions, is illustrated to validate the proposed method.
PDEM seismic motion structures random response reliability orthogonal ezpansion
Zhang-Jun Liu
College of Civil & Hydroelectric Engineering, China Three Gorges University, Yichang 443002, P.R. China
国际会议
广州
英文
1433-1438
2009-11-28（万方平台首次上网日期，不代表论文的发表时间）