RESPONSE STATISTICS OF VANDERPOL OSCILLATORS EXCITED BY WHITE-NOISE

被引：23
作者：
NAESS, A
HEGSTAD, BK
机构：
[1] Faculty of Civil Engineering, Norwegian Institute of Technology, Trondheim, N-7034, Rich, Birkelaads vei la
来源：
NONLINEAR DYNAMICS | 1994年 / 5卷 / 03期
关键词：
NONLINEAR VIBRATION; STOCHASTIC EXCITATION; RESPONSE STATISTICS; VANDERPOL OSCILLATOR;
D O I：
10.1007/BF00045338
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The joint probability density function of the state space vector of a white noise excited van der Pol oscillator satisfies a Fokker-Planck-Kolmogorov (FPK) equation. The paper describes a numerical procedure for solving the transient FPK equation based on the path integral solution (PIS) technique. It is shown that by combining the PIS with a cubic B-spline interpolation method, numerical solution algorithms can be implemented giving solutions of the FPK equation that can be made accurate down to very low probability levels. The method is illustrated by application to two specific examples of a van der Pol oscillator.
引用
收藏
页码：287 / 297
页数：11
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