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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 106
PROCEEDINGS OF THE TWELFTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY
Edited by:
Paper 39

Approximate Solutions for Visco-Elastically Damped Beams

M. Lázaro1, C.F. Casanova2, L. Pallarés3 and P. Martín1

1Department of Continuum Mechanics and Theory of Structures, Polytechnic University of Valencia, Spain
2Department of Applied Physics, University of Granada, Spain
3Department of Construction Engineering and Civil Engineering Projects, Polytechnic University of Valencia, Spain

Full Bibliographic Reference for this paper
, "Approximate Solutions for Visco-Elastically Damped Beams", in , (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 39, 2014. doi:10.4203/ccp.106.39
Keywords: viscoelastic damping, fractional derivatives, frequency response function, equivalent viscous model..

Summary
In this paper a new method for modeling one-dimensional structures with help of viscously damped systems is presented. The viscoelastic systems are widely used in structural dynamics. The main handicap of these models is the computational cost. This has motivated us to search for simpler and easier models capable of calculating the response with good approximation. In this sense, the viscously damped model is universally accepted as that with those properties. The single-degree of freedom are examined in first place. The essentials of the methodology are described. The extension to multiple-degree of freedom systems is presented as a natural generalization of the previous ones. The proposed equivalent viscous model can be solved with help of the traditional tools, characterized by a much higher computational efficiency, such as the state-space methods or the modal analysis, which are commonly used in dynamical problems. The theoretical results are contrasted with the aid of different numerical examples.

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