Application of the finite-element method to the vibration of a rectangular plate with elastic support at the boundary

  • Authors:

  • L. Zietsman;A. J. Van Der Merwe;J. J. Geldenhuys;N. F. J. Van Rensburg

  • Affiliations:

  • Department of Quantitative Management University of South Africa, P.O. Box 392, Pretoria 0003, South Africa;Department of Mathematics and Applied Mathematics University of Pretoria, Pretoria 0002, South Africa;Department of Mathematics and Applied Mathematics University of Pretoria, Pretoria 0002, South Africa;Department of Mathematics and Applied Mathematics University of Pretoria, Pretoria 0002, South Africa

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 2003

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Abstract

In this paper, we consider the vibration of a thin rectangular plate supported by identical beams at two opposing sides. This plate-beam system is rigidly supported at the remaining sides. The finite-element method is used to calculate the natural frequencies for the plate-beam system and to solve the associated equilibrium problem. For the plate, we used reduced quintics and Herrnite piecewise quintics for the beams.