Random response of nonlinear continuous systems

Whirley, Robert Gary (1987) Random response of nonlinear continuous systems. Technical Report: CaltechEERL:1987.EERL-87-04. California Institute of Technology.

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Abstract

This thesis presents a technique for obtaining the stochastic response of a nonlinear continuous system. First, the general method of nonstationary continuous equivalent linearization is developed. This technique allows replacement of the original nonlinear system with a time-varying linear continuous system. Next, a numerical implementation is described which allows solution of complex problem on a digital computer. In this procedure, the linear replacement system is discretized by the finite element method. Application of this method to systems satisfying the one-dimensional wave equation with two different types of constitutive nonlinearities is described. Results are discussed for nonlinear stress-strain laws of both hardening and softening types

EPrint Type:	Monograph (Technical Report)
Additional Information:	PhD, 1988: PB-89-194153/AS
Subjects:	All Records > Earthquake Engineering Research Laboratory
ID Code:	171
Deposited By:	Caltech Library System
Deposited On:	15 October 2001
Record Number:	CaltechEERL:1987.EERL-87-04
Official Persistent URL:	http://resolver.caltech.edu/CaltechEERL:1987.EERL-87-04
Usage Policy:	You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.

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