Boundary element method for vibration analysis of two-dimensional anisotropic elastic solids containing holes, cracks or interfaces

Y. C. Chen, Chyanbin Hwu

研究成果: Article同行評審

19 引文 斯高帕斯(Scopus)

摘要

By using the anisotropic elastostatic fundamental solutions and employing the dual reciprocity method, a special boundary element method (BEM) was developed in this paper to perform elastodynamic analysis of anisotropic elastic plates containing holes, cracks or interfaces. The system of ordinary differential equations obtained for the vibration transient analysis was solved using the Houlbolt's algorithm and modal superposition method. These equations were reduced to the standard eigenproblem for free vibration, and a purely algebraic system of equations for steady-state forced vibration. Since the fundamental solutions used in the present BEM satisfy the boundary conditions set on the holes, cracks, or interfaces, no meshes are needed along these boundaries. With this special feature, the numerical examples presented in this paper show that to get an accurate result much fewer elements were used in the present BEM comparing with those in the traditional BEM or finite element method.

原文English
頁(從 - 到)22-35
頁數14
期刊Engineering Analysis with Boundary Elements
40
DOIs
出版狀態Published - 2014 3月

All Science Journal Classification (ASJC) codes

  • 分析
  • 一般工程
  • 計算數學
  • 應用數學

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