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Random response of nonlinear continuous systems


Whirley, Robert Gary (1988) Random response of nonlinear continuous systems. Dissertation (Ph.D.), California Institute of Technology.


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 problems 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:Thesis (Dissertation (Ph.D.))
Subject Keywords:Mechanical Engineering
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Mechanical Engineering
Thesis Availability:Restricted to Caltech community only
Research Advisor(s):
  • Iwan, Wilfred D.
Thesis Committee:
  • Unknown, Unknown
Defense Date:23 September 1987
Record Number:CaltechTHESIS:03142013-090423420
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7518
Deposited By: Benjamin Perez
Deposited On:14 Mar 2013 16:16
Last Modified:14 Mar 2013 16:16

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