Abstract

Element free Galerkin method (EFGM) is used to analyze a flexible translational joint. A moving constraint condition is a major concern for the translational joint analysis. It is shown that the EFGM is well suited for an analysis of flexible translational joint. Original shape function in the EFGM is modified so that essential boundary conditions are imposed by the same way as that of finite element method (FEM). The modified shape function possesses physical values at both ends of the element. The completeness of the modified shape function is discussed. Employing the present modified shape function makes easy to implement the moving constraint condition. Numerical examples for a static cantilever beam are presented for a comparison between the penalty method, the Lagrange multiplier method and the present one. As second example, a large deformation problem is solved for a comparison between the FEM and the EFGM. Finally, a simulation of flexible translational joint is shown.

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