Vibration and buckling analyses of beams by the modified differential quadrature method

Y. T. Chou, S. T. Choi

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1 Citation (Scopus)

Abstract

In this paper the modified differential quadrature method (MDQM) is proposed for static and vibration analyses of beams. Modified weighting matrices are developed and a new formulation process is presented for incorporating boundary conditions such that the numerical error induced by using the δ-method in the original DQM is reduced. The present method is applied to various beam problems, such as static deflections of Euler beams, buckling loads of columns, and free vibrations of Timoshenko beams. Numerical results of the present method are shown to have excellent accuracy when compared to exact values and are more accurate than those obtained by the original DQM. The accuracy and efficiency of the present method have been demonstrated.

Original languageEnglish
Pages (from-to)189-195
Number of pages7
JournalJournal of Mechanics
Volume16
Issue number4
DOIs
Publication statusPublished - 2000

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanical Engineering
  • Applied Mathematics

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