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A moving Kriging interpolation-based element-free Galerkin method for structural dynamic analysis. (English) Zbl 1228.74110
Summary: In this paper, a meshfree method based on the moving Kriging interpolation is further developed for free and forced vibration analyses of two-dimensional solids. The shape function and its derivatives are essentially established through the moving Kriging interpolation technique. Following this technique, by possessing the Kronecker delta property the method evidently makes it in a simple form and efficient in imposing the essential boundary conditions. The governing elastodynamic equations are transformed into a standard weak formulation. It is then discretized into a meshfree system of time-dependent equations, which are solved by the standard implicit Newmark time integration scheme. Numerical examples illustrating the applicability and effectiveness of the proposed method are presented and discussed in details. As a consequence, it is found that the method is very efficient and accurate for dynamic analysis compared with those of other conventional methods.

MSC:
74S30 Other numerical methods in solid mechanics (MSC2010)
74H15 Numerical approximation of solutions of dynamical problems in solid mechanics
74H45 Vibrations in dynamical problems in solid mechanics
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