Improvement of the Wave Based Method for Thick Plate Vibrations

Research output: Contribution to journalArticleResearchpeer-review

Abstract

The numerical simulation of plate vibrations in the low frequency range is commonly performed with the Finite Element Method (FEM). In the so-called mid-frequency range, the computational load of the conventional FEM becomes generally too high for practical purposes and different kinds of calculation methods are needed. A deterministic method which can be used to calculate plate vibrations is the Wave Based Method (WBM). Since it has a high computational efficiency, it can tackle the mid-frequency range. In this paper, the convergence rate of the WBM using the Mindlin plate theory is investigated and a new selection of wave functions, distinguishing between travelling and evanescent waves, is proposed to improve the performance of the WBM. It is shown that the WBM for thick plates fails to calculate accurate results for certain types of boundary conditions if the plate becomes thinner. This problem is also resolved with the newly proposed selection of wave functions. The validation examples illustrate that the convergence rate and accuracy of the new wave function selection is generally higher compared to the conventional wave functions. In this paper, only examples with straight boundaries and point force excitation are considered.
Original languageEnglish
Pages (from-to)492-505
Number of pages14
JournalThe International Journal of Acoustics and Vibration
Volume23
Issue number4
Publication statusPublished - 17 Dec 2018

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thick plates
Wave functions
wave functions
vibration
frequency ranges
finite element method
Mindlin plates
thin plates
evanescent waves
Finite element method
traveling waves
Computational efficiency
boundary conditions
low frequencies
Boundary conditions
excitation
Computer simulation
simulation

Cite this

Improvement of the Wave Based Method for Thick Plate Vibrations. / Klanner, Michael; Ellermann, Katrin.

In: The International Journal of Acoustics and Vibration, Vol. 23, No. 4, 17.12.2018, p. 492-505.

Research output: Contribution to journalArticleResearchpeer-review

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