On the accuracy of plate theories for the prediction of unwanted modes near the fundamental thickness shear mode

Y. K. Yong, Z. Zhang, J. Hou

Research output: Contribution to journalConference articlepeer-review

6 Scopus citations

Abstract

The first order plate theories with correction factors are generally assumed to predict accurately the plate modes which have half wave lengths greater than the plate thickness, and at frequencies up to 20% higher than the fundamental thickness shear frequency. In this study, this assumption is assessed by comparing the straight crested wave solutions of the plate theories with those of the three-dimensional elastic equations of motion. In particular, the frequency spectra for bandwidths of resonant frequencies vs. the aspect ratio of length to thickness are compared for three sets of plate equations including the first order Mindlin plate equations, the third order Mindlin plate equations, and the third order Lee and Nikodem plate equations.

Original languageEnglish (US)
Pages (from-to)755-760
Number of pages6
JournalProceedings of the Annual IEEE International Frequency Control Symposium
StatePublished - 1995
EventProceedings of the 1995 49th Annual IEEE International Frequency Control Symposium - San Francisco, CA, USA
Duration: May 31 1995Jun 2 1995

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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