Random Vibration of Systems with Viscoelastic Memory
Publication: Journal of Engineering Mechanics
Volume 130, Issue 9
Abstract
The equation of motion of linear dynamic systems with viscoelastic memory is usually expressed in a integrodifferential form, and its numerical solution is computationally heavy. In two recent papers, the writers suggested that the system memory be accounted for through the introduction of a number of additional internal variables. Following this approach, the motion of the system is governed by a set of first-order, linear differential equations, whose solution is quite easy. In this paper, the approach is extended to single-degree-of-freedom systems subjected to random, nonstationary excitation. The equations governing the time variation of the second-order statistics are derived, and an effective step-by-step solution procedure is proposed. Numerical example shows the accuracy of the procedure for white and nonwhite excitations.
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Published In
Journal of Engineering Mechanics
Volume 130 • Issue 9 • September 2004
Pages: 1052 - 1061
Copyright
Copyright © 2004 American Society of Civil Engineers.
History
Received: Apr 4, 2003
Accepted: Nov 21, 2003
Published online: Aug 16, 2004
Published in print: Sep 2004
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