Wave Based Method for the steady-state vibrations of thick plates

Research output: Contribution to journalArticleResearchpeer-review

Abstract

A commonly used technique for the analysis of the low frequency harmonic response of plates is the Finite Element Method (FEM). Since the computational effort of the FEM increases significantly for higher frequencies, different calculation methods are needed to get accurate results for plate bending problems in the mid and high frequency range. A deterministic method called Wave Based Method (WBM) is able to tackle the mid frequency range due to a higher calculation efficiency. It has already been developed for the Kirchhoff plate theory, which is only accurate for rather thin plates, since shear deformation is neglected. Therefore, in this paper the WBM using a first-order shear deformation theory, the Mindlin plate theory, is developed which makes it applicable to thick plates. Numerical examples with point force excitation are shown.
Original languageEnglish
Pages (from-to)146-161
Number of pages16
JournalJournal of sound and vibration
Volume345
DOIs
Publication statusPublished - 9 Jun 2015

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thick plates
Shear deformation
finite element method
frequency ranges
Mindlin plates
shear
Finite element method
plate theory
vibration
thin plates
low frequencies
harmonics
excitation

Keywords

  • Trefftz method
  • Wave based method
  • Mindlin plate theory
  • Harmonic vibrations

Fields of Expertise

  • Sonstiges

Cite this

Wave Based Method for the steady-state vibrations of thick plates. / Klanner, Michael; Ellermann, Katrin.

In: Journal of sound and vibration, Vol. 345, 09.06.2015, p. 146-161.

Research output: Contribution to journalArticleResearchpeer-review

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