Paper Title:
Free Vibration Analysis of Cantilever Rectangular Plates with Variable Thickness
  Abstract

A new method-mixed boundary grid method (FBGM) is proposed to analyze the free vibration of cantilever plates with variable thickness. The fundamental differential equations of the plate are established for the bending problem. By transforming these equations into integral equations in a small area and using the trapezoidal rule of the approximate numerical integration, the solution of these equations is obtained and chosen as Green function to obtain the characteristic equation of the free vibration. The accuracy of the numerical results for the natural frequency parameter calculated by the proposed method is investigated.

  Info
Periodical
Edited by
Han Zhao
Pages
2774-2777
DOI
10.4028/www.scientific.net/AMM.130-134.2774
Citation
M. Huang, Y. Xu, B. Cao, "Free Vibration Analysis of Cantilever Rectangular Plates with Variable Thickness", Applied Mechanics and Materials, Vols. 130-134, pp. 2774-2777, 2012
Online since
October 2011
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