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A Boundary-only Solution to Dynamic Analysis of Non-homogeneous Elastic Membranes

J.T. Katsikadelis1, M.S. Nerantzaki1
1 NTUA, Athens, Greece

Computer Modeling in Engineering & Sciences 2000, 1(3), 1-9. https://doi.org/10.3970/cmes.2000.001.303

Abstract

A boundary-only method is presented for the solution of the vibration problem of non-homogeneous membranes. Both free and forced vibrations are considered. The presented method is based on the Analog Equation Method (AEM). According to this method the second order partial differential equation with variable coefficients of hyperbolic type, which governs the dynamic response of the membrane, is substituted by a Poisson's equation describing a quasi-static problem for the homogeneous membrane subjected to a fictitious time dependent load. The fictitious load is established using BEM. Several numerical examples are presented which illustrate the efficiency and the accuracy of the method.

Keywords

elasticity, membrane, non-homogeneous, BEM, analog equation

Cite This Article

Katsikadelis, J., Nerantzaki, M. (2000). A Boundary-only Solution to Dynamic Analysis of Non-homogeneous Elastic Membranes. CMES-Computer Modeling in Engineering & Sciences, 1(3), 1–9.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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