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Journal Articles Computational Mechanics Year : 2013

Low-complexity computation of plate eigenmodes with Vekua approximations and the Method of Particular Solutions

Gilles Chardon

Abstract

This paper extends the Method of Particular Solutions (MPS) to the computation of eigenfrequencies and eigenmodes of thin plates, in the framework of the Kirchhoff-Love plate theory. Specific approximation schemes are developed, with plane waves (MPS-PW) or Fourier-Bessel functions (MPS-FB). This framework also requires a suitable formulation of the boundary conditions. Numerical tests, on two plates with various boundary conditions, demonstrate that the proposed approach provides competitive results with standard numerical schemes such as the Finite Element Method, at reduced complexity, and with large flexibility in the implementation choices.
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Dates and versions

hal-00823480 , version 1 (17-05-2015)

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Gilles Chardon, Laurent Daudet. Low-complexity computation of plate eigenmodes with Vekua approximations and the Method of Particular Solutions. Computational Mechanics, 2013, pp.10. ⟨10.1007/s00466-013-0859-2⟩. ⟨hal-00823480⟩
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