Computational Technology Resources - CCP

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

doi:10.4203/ccp.65.13.3

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.

purchase the full-text of this paper (price £20)

go to the previous paper
go to the next paper
return to the table of contents
return to the book description
purchase this book (price £80 +P&P)

	Computational & Technology Resources an online resource for computational, engineering & technology publications
	not logged in - login
Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	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 doi:10.4203/ccp.65.13.3 purchase the full-text of this paper 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. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £80 +P&P)
Back to top	©Civil-Comp Limited 2023 - terms & conditions