Mean-Square Response of Thermoviscoelastic Medium to Nonstationary Random Excitation

[+] Author and Article Information
W. Mosberg, M. Yildiz

Department of Mechanical Engineering, University of New Hampshire, Durham, N. H.

J. Appl. Mech 43(1), 150-158 (Mar 01, 1976) (9 pages) doi:10.1115/1.3423767 History: Received December 01, 1974; Revised July 01, 1975; Online July 12, 2010


The mean-square wave response of a lightly damped thermoviscoelastic medium to a special type of nonstationary random excitation is determined. The excitation function on the thermoviscoelastic medium is taken in the form of a product of a well-defined, slowly varying envelope function, and a part which prescribes the statistical characteristics of the excitation. Both the unit step and rectangular step functions are used for the envelope function, and both white noise and noise with an exponentially decaying harmonic correlation function are used to prescribe the statistical property of the excitation. By taking into consideration the slow variation envelope function and the wave characteristics of the lightly damped thermoviscoelastic medium, the mean-square response (as a function of temperature, excitation, and damping parameters with the aid of reversible and irreversible thermodynamics) is evaluated.

Copyright © 1976 by ASME
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