contributor author | S. T. Ariaratnam | |
contributor author | Wei-Chau Xie | |
date accessioned | 2017-05-08T23:37:27Z | |
date available | 2017-05-08T23:37:27Z | |
date copyright | September, 1992 | |
date issued | 1992 | |
identifier issn | 0021-8936 | |
identifier other | JAMCAV-26343#664_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/109683 | |
description abstract | The almost-sure asymptotic stability of a class of coupled multi-degrees-of-freedom systems subjected to parametric excitation by an ergodic stochastic process of small intensity is studied. Explicit asymptotic expressions for the largest Lyapunov exponent for various values of the system parameters are obtained by using a combination of the method of stochastic averaging and a well-known procedure due to Khas’minskii, from which the asymptotic stability boundaries are determined. As an application, the example of the flexural-torsional instability of a thin elastic beam acted upon by a stochastically fluctuating load at the central cross-section of the beam is investigated. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Lyapunov Exponents and Stochastic Stability of Coupled Linear Systems Under Real Noise Excitation | |
type | Journal Paper | |
journal volume | 59 | |
journal issue | 3 | |
journal title | Journal of Applied Mechanics | |
identifier doi | 10.1115/1.2893775 | |
journal fristpage | 664 | |
journal lastpage | 673 | |
identifier eissn | 1528-9036 | |
keywords | Stability | |
keywords | Noise (Sound) | |
keywords | Linear systems | |
keywords | Stochastic processes AND Stress | |
tree | Journal of Applied Mechanics:;1992:;volume( 059 ):;issue: 003 | |
contenttype | Fulltext | |