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Response of a viscoelastic beam to an impulsive excitation

Published online by Cambridge University Press:  26 February 2010

V. P. Madan
V. P. Madan
Affiliation:
Department of Mathematics, The University of Alberta, Edmonton, Alberta, Canada.
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Extract

In this paper the response of an Euler-Bernoulli viscoelastic beam to impulsive excitation is obtained using Volterra's model for the stress-strain relationship. In order to achieve a better approximation of actual materials a series of parallel connections of one or more basic models must be used. However, the analytic solutions to most problems then become very difficult. Therefore an alternative approach is to formulate such a problem in terms of the hereditary integral as proposed by Vito Volterra [1].

Type
Research Article
Information
Mathematika , Volume 16 , Issue 2 , December 1969 , pp. 205 - 208
Copyright
Copyright © University College London 1969

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References

1.Volterra, V., Theory of functionals and of integral and of integro-differential equations (New York Dover, 1959).Google Scholar
2.Harvill, L. R., “Vito Volterra and viscoelasticity”, Journal of the Franklin Institute (1966).Google Scholar
3.Madan, V. P., Impulsive excitation of viscoelastic beams (Ph.D. thesis, University of Toront, Toronto, 1968).Google Scholar