Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
The meshless analysis of elastic dynamic problem based on radial basis reproducing kernel particle method
Abstract In this article, introducing the method of radial basis function (RBF) into reproducing kernel particle method (RKPM), and the radial basis reproducing kernel particle method (RRKPM) is presented. The RRKPM has higher computational accuracy and better convergence than the RKPM. Then the RRKPM is used in elastic dynamic problem, and the weak form of integral is used to find the discretized governing equations. The penalty method is used to determine the essential boundary condition, and the two-point difference method is applied to discretizing the time. The RRKPM for elastic dynamic problem is constructed, and the accuracy and effectiveness of the RRKPM for elastic dynamic problem are verified by the numerical examples.
Highlights The RRKPM is proposed The RRKPM for elastic dynamic problem is proposed. The penalty method is applied to imposing the essential boundary condition Two-point difference method is selected for the time discretization The validity of the RRKPM are illustrated
The meshless analysis of elastic dynamic problem based on radial basis reproducing kernel particle method
Abstract In this article, introducing the method of radial basis function (RBF) into reproducing kernel particle method (RKPM), and the radial basis reproducing kernel particle method (RRKPM) is presented. The RRKPM has higher computational accuracy and better convergence than the RKPM. Then the RRKPM is used in elastic dynamic problem, and the weak form of integral is used to find the discretized governing equations. The penalty method is used to determine the essential boundary condition, and the two-point difference method is applied to discretizing the time. The RRKPM for elastic dynamic problem is constructed, and the accuracy and effectiveness of the RRKPM for elastic dynamic problem are verified by the numerical examples.
Highlights The RRKPM is proposed The RRKPM for elastic dynamic problem is proposed. The penalty method is applied to imposing the essential boundary condition Two-point difference method is selected for the time discretization The validity of the RRKPM are illustrated
The meshless analysis of elastic dynamic problem based on radial basis reproducing kernel particle method
Qin, Shaopeng (Autor:in) / Wei, Gaofeng (Autor:in) / Tang, Bingtao (Autor:in)
22.07.2020
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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