Free Vibration Response Characteristics of a Simple Elasto-Hereditary System

[+] Author and Article Information
A. Muravyov, S. G. Hutton

Department of Mechanical Engineering, University of British Columbia, Vancouver, B.C., Canada

J. Vib. Acoust 120(2), 628-632 (Apr 01, 1998) (5 pages) doi:10.1115/1.2893873 History: Received August 01, 1996; Online February 26, 2008


An analysis is conducted of the free vibration response characteristics of a single-degree-of-freedom (SDOF) elasto-hereditary (viscoelastic) system. The viscoelasticity is characterized by a relaxation kernel consisting of one exponential term. For this problem analytical results are presented that define the regions of oscillatory and nonoscillatory response. A possible application of the described technique to multi-degree-of-freedom diagonalizable viscoelastic systems is shown.

Copyright © 1998 by The American Society of Mechanical Engineers
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