Mechanical Engineering ETDs

Publication Date

5-29-1968

Abstract

Response statistics are obtained for a nonlinear, single-degree-of-freedom system subjected to a Gaussian, white noise random excitation. The system has nonlinear damping as well as nonlinear stiffness. The stationary joint probability density function is obtained as the numerical solution to the appropriate Fokker-Planck equation for the nonlinear system being considered. The first order probability density function, the mean square displacement, the average frequency of the response, and the average number of crossings of an arbitrary displacement level are subsequently obtained. These response statistics are compared with those obtained experimentally by simulating the nonlinear system under investigation on a solid state analog computer and exciting it with a random noise generator. The method of solution can be easily applied to engineering design problems.

Degree Name

Mechanical Engineering

Level of Degree

Doctoral

Department Name

Mechanical Engineering

First Committee Member (Chair)

Frederick Dsuin Ju

Second Committee Member

Richard Charles Dove

Third Committee Member

Bernard Epstein

Fourth Committee Member

Marion Marvin Cottrell

Fifth Committee Member

James Tsu-Ping Yao

Sponsors

The Sandia Corporation

Document Type

Dissertation

Language

English

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