Path Integral Solution of the Nonlinear Dynamic Behavior of Structure Under Wind Excitation

WANG Zhong-gang; CHENG Hua; DENG Hong-zhou

Volume 26 Issue 10

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Article Navigation > Applied Mathematics and Mechanics > 2005 > 26(10): 1183-1190

WANG Zhong-gang, CHENG Hua, DENG Hong-zhou. Path Integral Solution of the Nonlinear Dynamic Behavior of Structure Under Wind Excitation[J]. Applied Mathematics and Mechanics, 2005, 26(10): 1183-1190.

Citation:

WANG Zhong-gang, CHENG Hua, DENG Hong-zhou. Path Integral Solution of the Nonlinear Dynamic Behavior of Structure Under Wind Excitation[J]. Applied Mathematics and Mechanics, 2005, 26(10): 1183-1190.

Citation:

WANG Zhong-gang, CHENG Hua, DENG Hong-zhou. Path Integral Solution of the Nonlinear Dynamic Behavior of Structure Under Wind Excitation[J]. Applied Mathematics and Mechanics, 2005, 26(10): 1183-1190.

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Path Integral Solution of the Nonlinear Dynamic Behavior of Structure Under Wind Excitation

1.
Department of Civil Engineering, Logistical Engineering University, Chongqing 400041, P. R. China;

Received Date: 2003-09-23
Rev Recd Date: 2005-05-27
Publish Date: 2005-10-15

Abstract

Abstract

A numerical scheme for the nonlinear behavior of structure under wind excitation is investigated. With the white noise filter of turbulent-wind fluctuations, the nonlinear motion equation of structures subjected to wind load was modeled as the Ito's stochastic differential equation. The state vector associated with such a model is a diffusion process. A continuous linearization strategy in the time-domain was adopted. Based on the solution series of its stochastic linearization equations, the formal probabilistic density of the structure response was developed by the path integral technique. It is shown by the numerical example of a guyed mast that compared with the frequency-domain method and the time-domain nonlinear analysis, the proposed approach is highlighted by high accuracy and robustness. The influence of the structure non-linearity on the dynamic reliability assessment is also analyzed in the example.
- nonlinear,
- dynamic response,
- wind load,
- path integral solution,
- white noise,
- joint statistical distribution

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References(15)

References

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