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An efficient numerical method for the resolution of the Kirchhoff-Love dynamic plate equation

✍ Scribed by Eliane Bécache; Grégoire Derveaux; Patrick Joly

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
267 KB
Volume
21
Category
Article
ISSN
0749-159X

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✦ Synopsis

Abstract

We solve numerically the Kirchhoff‐Love dynamic plate equation for an anisotropic heterogeneous material using a spectral method. A mixed velocity‐moment formulation is proposed for the space approximation allowing the use of classical Lagrange finite elements. The benefit of using high order elements is shown through a numerical dispersion analysis. The system resulting from this spatial discretization is solved analytically. Hence this method is particularly efficient for long duration experiments. This time evolution method is compared with explicit and implicit finite differences schemes in terms of accuracy and computation time. © 2004 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2005

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