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Please use this identifier to cite or link to this item: http://hdl.handle.net/10204/5347

Title: Accuracy of semi-analytical finite elements for modelling wave propagation in rails
Authors: Andhavarapu, EV
Loveday, P
Long, CS
Heyns, PS
Keywords: Guided waves
Semi analytical finite element
SAFE
Wave propagation
Rails
Applied mechanics
SACAM 2010
Issue Date: Jan-2010
Publisher: SACAM 2010
Citation: Andhavarapu, EV, Loveday, P, Long, CS and Heyns, PS. 2010. Accuracy of semi-analytical finite elements for modelling wave propagation in rails. Seventh South African Conference on Computational and Applied Mechanics (SACAM10), University of Pretoria, 10-13 January 2010
Series/Report no.: W orkflow request;7641
Abstract: The semi-analytical finite element method (SAFE) is a popular method for analysing guided wave propagation in elastic waveguides of complex cross-section such as rails. The convergence of these models has previously been studied for linear triangular elements. This paper extends this study to include quadratic triangular elements and other linear and quadratic elements. It is shown that for a given number of degrees of freedom the quadratic elements are more efficient than the linear elements. Based on the results of the convergence studies presented here, the use of quadratic quadrilateral elements is recommended and these may be complemented by quadratic triangular elements if necessary. The use of symmetry and antisymmetry boundary conditions when modelling rails was also investigated. It was found that these models predict all the modes of propagation within the frequencies investigated. The use of this approach is therefore recommended for elastic waveguides with symmetrical crosssection.
Description: Seventh South African Conference on Computational and Applied Mechanics (SACAM10), University of Pretoria, 10-13 January 2010
URI: http://hdl.handle.net/10204/5347
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