Nonlinear response of a beam under stationary random excitation by improved stochastic linearization method
type: Item
instance of: scholarly article
title: Nonlinear response of a beam under stationary random excitation by improved stochastic linearization method
zbMATH Open document ID: 0826.73042
DOI: 10.1016/0307-904X(94)00008-T
author: Jianjie Fang
author: Isaac Elishakoff
author: Raoul Caimi
published in: Applied Mathematical Modelling
publication date: 1995-07-20T00:00:00Z
review text: A new stochastic linearization technique is employed to investigate the nonlinear mean square response of a beam with arbitrary boundary conditions under time-dependent stationary random excitation. To demonstrate the accuracy of this new method, mean square response is obtained through both the new and conventional versions of the stochastic linearization technique. An example of a beam with both ends simply supported is presented for the case of white noise excitation to illustrate the present method.
Mathematics Subject Classification ID: 74H50
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 772255
zbMATH Keywords: Monte Carlo simulation
zbMATH Keywords: mean square response
zbMATH Keywords: white noise excitation
MaRDI profile type: Publication
cites work: Q3258382
cites work: Q3262985
cites work: Q3995330
cites work: Q4284416
cites work: Random vibration of a nonlinearly deformed beam by a new stochastic linearization technique
cites work: Q4122938
full work available at URL: 0307-904x(94)00008-t
OpenAlex ID: W2016530204
Wikidata QID: Q127348930
description: scientific article; zbMATH DE number 772255