Structural Engineering and Mechanics

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Iterative coupling of precise integration FEM and TD-BEM for elastodynamic analysis

  • Lei, Weidong (Shenzhen Graduate School, Harbin institute of Technology) ;
  • Liu, Chun (Shenzhen Graduate School, Harbin institute of Technology) ;
  • Qin, Xiaofei (Shenzhen Graduate School, Harbin institute of Technology) ;
  • Chen, Rui (Shenzhen Graduate School, Harbin institute of Technology)
  • Received : 2017.04.22
  • Accepted : 2018.05.24
  • Published : 2018.08.25
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Abstract

The iterative decomposition coupling formulation of the precise integration finite element method (FEM) and the time domain boundary element method (TD-BEM) is presented for elstodynamic problems. In the formulation, the FEM node and the BEM node are not required to be coincident on the common interface between FEM and BEM sub-domains, therefore, the FEM and BEM are independently discretized. The force and displacement converting matrices are used to transfer data between FEM and BEM nodes on the common interface between the FEM and BEM sub-domains, to renew the nodal variables in the process of the iterations for the un-coincident FEM node and BEM node. The iterative coupling formulation for elastodynamics in current paper is of high modeling accuracy, due to the semi-analytical solution incorporated in the precise integration finite element method. The decomposition coupling formulation for elastodynamics is verified by examples of a cantilever bar under a Heaviside-type force and a harmonic load.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation of China, Shenzhen Science and Technology Innovation Commission

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