Open Access

ARTICLE

A Finite Wavelet Domain Method for the Rapid Analysis of Transient Dynamic Response in Rods and Beams

by C.V. Nastos, T.C. Theodosiou, C.S. Rekatsinas, D.A. Saravanos¹

1 Corresponding Author: Professor D.A.Saravanos, saravanos@mech.upatras.gr, Tel: +30-2610-969437, Fax: +30-2610-969417

Computer Modeling in Engineering & Sciences 2015, 107(5), 379-409. https://doi.org/10.3970/cmes.2015.107.379

Abstract

A computationally efficient numerical method is developed for the prediction of transient response in orthotropic rod and beam structures. The method takes advantage of the outstanding properties of compactly supported Daubechies wavelet scaling functions for the spatial approximation of displacements in a finite domain of the structure, hence is termed Finite Wavelet Domain (FWD) method. The basic principles and advantages of the method are presented and the discretization of the equations of motion is formulated for one-dimensional structures. Numerical results for the simulation of propagating guided waves in rods and strips are presented and compared against traditional finite elements.

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Keywords

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