A MOVING KRIGING INTERPOLATION-BASED MESHLESS LOCAL PETROV–GALERKIN METHOD FOR ELASTODYNAMIC ANALYSIS
作者： BAODONG DAI , JING CHENG , BAOJING ZHENG
DOI: 10.1142/S1758825113500117
关键词: Petrov–Galerkin method 、 Test functions for optimization 、 Newmark-beta method 、 Heaviside step function 、 Mathematics 、 Kriging 、 Dirac delta function 、 Regularized meshless method 、 Mathematical analysis 、 Boundary value problem
摘要: A meshless local Petrov–Galerkin method (MLPG) based on the moving Kriging interpolation for elastodynamic analysis is presented in this paper. The present developed constructing shape functions at scattered points, and Heaviside step function used as a test each subdomain to avoid need domain integral symmetric weak form. Since constructed by have delta property, essential boundary conditions can be implemented easily, no special treatment techniques are required. discrete equations of governing two-dimensional solids obtained using weak-forms. Newmark adopted time integration scheme. Some numerical results compared that from exact solutions problem other (meshless) methods. This comparison illustrates efficiency accuracy solving static dynamic problems.
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