ANALYSIS OF NONLINEAR OSCILLATORS UNDER STOCHASTIC EXCITATION BY THE FOKKER-PLANCK-KOLMOGOROV EQUATION

被引：7
|
作者：
BARATTA, A [1 ]
ZUCCARO, G [1 ]
机构：
[1] UNIV NAPLES,LUPT,CTR RIC INTERDIPARTIMENTALE,I-80138 NAPLES,ITALY
来源：
NONLINEAR DYNAMICS | 1994年 / 5卷 / 03期
关键词：
NONLINEAR DYNAMICS; STOCHASTIC EXCITATION;
D O I：
10.1007/BF00045336
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The paper deals with the analysis of stochastic mechanical systems with one degree of freedom and proposes a simple procedure to obtain a representation of the dynamical response. In particular, approximate solution of the FPK equation is obtained for a system subjected to a stochastic force term. The resolving procedure is implemented with reference to a polynomial expansion of the restoring force function. Numerical tests are performed with reference to Duffing and van der Pol oscillators, showing good agreement with simulated response.
引用
收藏
页码：255 / 271
页数：17
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