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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. doi:10.7907/ezsr-jt33.


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:Public (worldwide access)
Research Advisor(s):
  • Iwan, Wilfred D.
Thesis Committee:
  • Iwan, Wilfred D. (chair)
  • Beck, James L.
  • Caughey, Thomas Kirk
  • Culick, Fred E. C.
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:16 Apr 2021 22:28

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