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PROBABILITY DENSITY EVOLUTION METHOD FOR ANALYSIS OF STOCHASTIC STRUCTURAL DYNAMIC RESPONSE

Li Jie Chen Jianbing (School of Civil Engineering, Tongji University, Shanghai 200092, China)  
Probability density evolution method for the analysis of stochastic structural dynamic response is presented. Based on the finite element method, the state equations of structural response containing random parameter are deduced. The probability density evolution equation (PDEE) of the stochastic structural response is then established by introducing augmented state vector. Combing the precise integration method with the Lax-Wendroff difference scheme will lead to numerical method for the PDEE. A case is studied on the response of an 8-storey floor-shear stochastic structure and the results are compared with that evaluated by the Monte Carlo method. The investigation shows that the probability density curves of the stochastic structural response have the characteristics of evolution, and they are far from normal distribution, at some time they even have double peaks.
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