Variational derivation of equilibrium equations of arbitrarily loaded pre-stressed shear deformable non-prismatic composite beams and solution by the DQEM buckling analysis

Chang New Chen

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

The generic equilibrium equations of arbitrarily loaded pre-stressed non-prismatic shear deformable composite beams can be derived. The buckling equilibrium equations can be obtained by simplifying the generic equilibrium equations. These equations can be used to develop the differential quadrature element method (DQEM) analysis model of the buckling of shear deformable beams. The DQEM uses the DQ to discretize the buckling equilibrium equation defined on each element, the transition conditions defined on the inter-element boundary of two adjacent elements and the boundary conditions of the beam. Numerical results of the buckling of shear deformable bar structures solved by the developed numerical algorithm are presented. They prove that the DQEM buckling analysis model is efficient in comparison of convergence rate and numerical stability with the existing numerical techniques such as traditional FDM and some FEM models.

Original languageEnglish
Pages (from-to)137-154
Number of pages18
JournalCommunications in Numerical Methods in Engineering
Volume19
Issue number2
DOIs
Publication statusPublished - 2003 Feb 1

All Science Journal Classification (ASJC) codes

  • Software
  • Modelling and Simulation
  • Engineering(all)
  • Computational Theory and Mathematics
  • Applied Mathematics

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