THE STEADY-STATE RESPONSE OF A CLASS OF DYNAMICAL-SYSTEMS TO STOCHASTIC EXCITATION

被引：37

作者：

CAUGHEY, TK

MA, F

机构：

[1] California Institute of Technology, Pasadena, CA, 91125, United States

来源：

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME | 1982年 / 49卷 / 03期

关键词：

Excited states - Dynamical systems - Probability density function - Gas turbines - Stochastic systems;

D O I：

10.1115/1.3162538

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this paper a class of coupled nonlinear dynamical systems subjected to stochastic excitation is considered. It is shown how the exact steady-state probability density function for this class of systems can be constructed. The result is then applied to some classical oscillator problems. © 1982 by ASME.

引用

页码：629 / 632

页数：4

共 17 条

[1]

BHARUCHAREID AT, 1960, ELEMENTS THEORY MORK

[2]

Caughey T.K, 1971, ADV APPL MECH, V11, DOI DOI 10.1016/S0065-2156(08)70343-0

[3] DERIVATION AND APPLICATION OF FOKKER-PLANCK EQUATION TO DISCRETE NONLINEAR DYNAMIC SYSTEMS SUBJECTED TO WHITE RANDOM EXCITATION [J].