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 [机械工程];

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

页码：255 / 271

页数：17

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