Applied Mathematics and Mechanics

, Volume 26, Issue 10, pp 1303–1311 | Cite as

Path integral solution of nonlinear dynamic behavior of structure under wind excitation

  • Zhong-gang Wang
  • Hua Cheng
  • Hong-zhou Deng


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 effectiveness. The influence of the structure non-linearity on the dynamic reliability assessment is also analyzed in the example.

Key words

nonlinear dynamic response wind load path integral solution white noise joint statistical distribution 

Chinese Library Classification

TU311.2 O322 O324 

Document code

2000 Mathematics Subject Classification

70K99 65C30 65C40 


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Copyright information

© Editorial Committee of Appl. Math. Mech. 2005

Authors and Affiliations

  1. 1.Department of Civil EngineeringLogistical Engineering UniversityChongqingP. R. China
  2. 2.Department of Building EngineeringTongji UniversityShanghaiP. R. China

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