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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 65
FINITE ELEMENTS: TECHNIQUES AND DEVELOPMENTS
Edited by: B.H.V. Topping
Paper XIII.3

Dispersive and Spurious Reflections of the Timoshenko's Flexural Waves in Numerical Simulations

J.E. Laier

Escola de Engenharia de Sao Carlos, Universidade de Sao Paulo, Sao Carlos, Brazil

Full Bibliographic Reference for this paper
J.E. Laier, "Dispersive and Spurious Reflections of the Timoshenko's Flexural Waves in Numerical Simulations", in B.H.V. Topping, (Editor), "Finite Elements: Techniques and Developments", Civil-Comp Press, Edinburgh, UK, pp 347-352, 2000. doi:10.4203/ccp.65.13.3
Abstract
This paper analyse the dispersive properties of finite element solution by using semidiscretizations of Timoshenko's flexural wave equation, as well spurious reflections for a non-uniform mesh, for which spurious wave reflections will appear at interfaces of elements with different lengths although no real reflections should occur. The two-node cubic elements with no shear-locking effect and consistent mass matrix are taken into account. The Newmark average acceleration step-by-step integration method is also considered.

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