Non-Gaussian closure technique for stationary random vibration
type: Item
instance of: scholarly article
title: Non-Gaussian closure technique for stationary random vibration
zbMATH Open document ID: 0558.70025
DOI: 10.1016/0020-7462(85)90042-3
author: Stephen H. Crandall
published in: International Journal of Non-Linear Mechanics
publication date: 1985-01-01T00:00:00Z
review text: The classical method of statistical linearization when applied to a nonlinear oscillator excited by stationary wide-band random excitation, can be considered as a procedure in which the unknown parameters in a Gaussian distribution are evaluated by means of moment identities derived from the dynamic equation of the oscillator. A systematic extension of this procedure is the method of non-Gaussian closure in which an increasing number of moment identities are used to evaluate additional parameters in a family of non-Gaussian response distributions. The method is described and illustrated by means of examples. Attention is given to the choice of representations of non-Gaussian distributions and to techniques for generating independent moment identities directly from the differential equation of the nonlinear oscillator. Some shortcomings of the method are pointed out.
Mathematics Subject Classification ID: 70L05
Mathematics Subject Classification ID: 70K50
zbMATH DE Number: 3890797
zbMATH Keywords: stationary random vibration
zbMATH Keywords: non-Gaussian closure
zbMATH Keywords: non-Gaussian response distributions
zbMATH Keywords: moment identities
MaRDI profile type: Publication
full work available at URL: 0020-7462(85)90042-3
OpenAlex ID: W2029864616
description: scientific article; zbMATH DE number 3890797