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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 83
PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: B.H.V. Topping, G. Montero and R. Montenegro
Paper 77
Eigenmotions of a One Degree of Freedom Viscoelastically Damped System P. Muller
Laboratory of Modelling, Materials and Structures (LM2S), University Pierre and Marie Curie, Paris, France Full Bibliographic Reference for this paper
P. Muller, "Eigenmotions of a One Degree of Freedom Viscoelastically Damped System", in B.H.V. Topping, G. Montero, R. Montenegro, (Editors), "Proceedings of the Eighth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 77, 2006. doi:10.4203/ccp.83.77
Keywords: Biot, damping, eigenmotions, rheology, vibrations, viscoelasticity.
Summary
In a recent series of papers, Adhikari et al. [1,2], have shown
that, for an
![]()
the search of eigensolutions in the form ![]() ![]() ![]() ![]()
For a system with
Systems with
For a system with
and the search of eigensolutions in the form ![]() ![]() where ![]() ![]()
When this viscoelastic spring is represented by a Biot's model with
where the relaxation times ![]() ![]() ![]() ![]()
The Laplace-Carson transform of
where ![]() ![]() ![]() ![]() References
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