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Random response of nonlinear continuous systems

Whirley, Robert Gary (1987) Random response of nonlinear continuous systems. California Institute of Technology . (Unpublished) http://resolver.caltech.edu/CaltechEERL:1987.EERL-87-04

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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


Item Type:Report or Paper (Technical Report)
Additional Information:PhD, 1988: PB-89-194153/AS
Group:Earthquake Engineering Research Laboratory
Record Number:CaltechEERL:1987.EERL-87-04
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.
ID Code:26383
Collection:CaltechEERL
Deposited By: Imported from CaltechEERL
Deposited On:15 Oct 2001
Last Modified:26 Dec 2012 13:57

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