Free Vibration Response Characteristics of a Simple Elasto-Hereditary System-Reference-Cited by-同舟云学术

Free Vibration Response Characteristics of a Simple Elasto-Hereditary System

Published:1998-04-01 Issue:2 Volume:120 Page:628-632
ISSN:1048-9002
Container-title:Journal of Vibration and Acoustics
language:en
Short-container-title:

Author:

Muravyov A.¹,Hutton S. G.¹

Affiliation:

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

Abstract

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.

Publisher

ASME International

Subject

General Engineering

Link

http://asmedigitalcollection.asme.org/vibrationacoustics/article-pdf/120/2/628/5593167/628_1.pdf

Reference12 articles.

1. Burton, T. A., 1985, Stability and Periodic Solutions of Ordinary and Functional Differential Equations, Academic Press, London.

2. Carlni A. , and De DonatoO., 1992, “Fundamental Solutions for Linear Viscoelastic Continua,” Journal of Solids and Structures, Vol. 29, No. 23, pp. 2989–3009.

3. Christensen, R. M., 1982, Theory of Viscoelasticity, Academic Press.

4. Ferry, J. D., 1970, Viscoelastic Properties of Polymers, John Wiley and Sons, Inc.

5. Flugge, W., 1967, Viscoelasticity, Blaisdell Publishing Company.

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