Citation
Whirley, Robert Gary (1988) Random Response of Nonlinear Continuous Systems. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/ezsr-jt33. https://resolver.caltech.edu/CaltechTHESIS:03142013-090423420
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 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.)) |
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| Subject Keywords: | Mechanical Engineering |
| Degree Grantor: | California Institute of Technology |
| Division: | Engineering and Applied Science |
| Major Option: | Mechanical Engineering |
| Thesis Availability: | Public (worldwide access) |
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| Thesis Committee: |
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| Defense Date: | 23 September 1987 |
| Record Number: | CaltechTHESIS:03142013-090423420 |
| Persistent URL: | https://resolver.caltech.edu/CaltechTHESIS:03142013-090423420 |
| DOI: | 10.7907/ezsr-jt33 |
| Default Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. |
| ID Code: | 7518 |
| Collection: | CaltechTHESIS |
| Deposited By: | Benjamin Perez |
| Deposited On: | 14 Mar 2013 16:16 |
| Last Modified: | 16 Apr 2021 22:28 |
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