Computation of plate eigenmodes with the plane wave decomposition method

Abstract : We develop a practical method for determining the modal frequencies and eigenmodes of a vibrating uniform thin plate, with arbitrary shape and boundary conditions, and uniform in-plane tension. The method is based on the decomposition of the modes as sum of propagative and exponential plane waves. This approach is validated for a circular plate and an odd-shaped plate, where results are shown to match classical results of plate theory, and are shown to require less resources than other numerical schemes.
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https://hal.inria.fr/hal-00766964
Contributor : Rémi Gribonval <>
Submitted on : Wednesday, December 19, 2012 - 11:53:07 AM
Last modification on : Sunday, March 31, 2019 - 1:33:25 AM

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  • HAL Id : hal-00766964, version 1

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G. Chardon, L. Daudet. Computation of plate eigenmodes with the plane wave decomposition method. WAVES 2011 - The 10th International Conference on Mathematical and Numerical Aspects of Waves, 2011, Vancouver, Canada. ⟨hal-00766964⟩

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