A derivation and solution of dynamic equilibrium equations of shear undeformable composite anisotropic beams using the DQEM

Chang New Chen

研究成果: Article同行評審

8 引文 斯高帕斯(Scopus)

摘要

In this paper, Hamilton's principle is used to derive the dynamic equilibrium equations of composite nonprismatic beams made of anisotropic materials. The effects of transverse shear deformations are neglected. The displacements are defined on an arbitrarily selected coordinate system. For Hamilton's principle, the dynamic behavior of nonprismatic beams is characterized by two energy functions: a kinetic energy and a potential energy. The formulation uses the procedure of variational operations. The obtained dynamic equilibrium equations and natural boundary conditions are strongly coupled. They can be solved by the differential quadrature element method (DQEM).

原文English
頁(從 - 到)833-861
頁數29
期刊Applied Mathematical Modelling
26
發行號8
DOIs
出版狀態Published - 2002 8月

All Science Journal Classification (ASJC) codes

  • 建模與模擬
  • 應用數學

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