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

Turn off MathJax

Article Contents

Abstract

References

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.

PDF( 429 KB)

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

FullText(HTML)

References(15)

References

[1]	王肇民,王之宏,颜明忠.桅杆结构[M].北京:科学出版社,2000.
[2]	Peil U,Nlle H.On fatigue of guyed masts due to wind load[A].In:Schuller G I,YAO Fen Eds.Structural Safety & Reliability[C].Rotterdam：Balkema,1994,1132—1140.
[3]	Kahla N Ben.Dynamic analysis of guyed towers[J].Engng　Struct,1994,16(4):293—301.
[4]	王肇民,程凌勇.桅杆结构动力特性研究[J].建筑结构学报,1993,14(5):2—10.
[5]	马星，李泽，蒋涛.考虑纤绳振动桅杆结构的随机风振分析[J].同济大学学报,1998,26(6):631—635.
[6]	Yim S C S,Lin H.Unified analysis of complex nonlinear motions via densities[A].In:Naess A,Krenk S Eds.Proceedings of the IUTAM Symposium on Advances in Nonlinear Stochastic Mechanics[C].Dordrecht: Kluwer Academic Publishers,1996,489—501.
[7]	Naess A.Chaos and nonlinear stochastic dynamics[J].Probabilistic Eng Mechanics,2000,15(1):37—47. doi: 10.1016/S0266-8920(99)00007-7
[8]	马星,邓洪洲.桅杆结构随机风振的离散分析法[J].工程力学,2002,19(1):34—37.
[9]	MA Xing,WANG Zhong-gang,DENG Hong-zhou.Theoretical and experimental research on dynamic behavior of guyed masts under wind load[J].Acta Mechanical Solida Sinica,2004,17(2):166—171.
[10]	Paola M Di,Ricciardi G,Vasta M.A method for the probabilistic analysis of nonlinear system[J].Probabilistic Eng Mechanics,1995,10(3):1—10. doi: 10.1016/0266-8920(95)91891-U
[11]	Peil U,Noelle H.Guyed masts under wind load[J].J Wind Eng and Industr Aerodyn,1992,44:2129—2140.
[12]	张炳根,赵玉芝.科学和工程中的随机微分方程[M].北京:海洋出版社,1980.
[13]	王仲刚,邓洪洲.桅杆风振试验研究[J].工程力学,2003,20(5):42—47.
[14]	Liu S C.Solutions of Fokker-Planck equation with applications in nonlinear random vibration[J].The Bell System Technical Journal,1969,48:2031—2051.
[15]	李桂青,曹宏,李秋胜,等.结构动力可靠性理论及其应用[M].北京:地震出版社,1995.