The elastic dynamics analysis of FGM using a meshless RRKPM. (1st August 2021)

• Record Type: Journal Article
• Authors: Qin, Shaopeng; Wei, Gaofeng; Liu, Zheng; Su, Guosheng
• Is Part Of: Engineering analysis with boundary elements. Volume 129(2021)
• Page Start: 125
• Page End: 136
• Publication Date: 2021-08-01
• Subjects: FGM -- Meshless method -- RKPM -- RBF -- Elastic dynamic problems; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2021.04.021
• Languages: English
• ISSNs: 0955-7997

Abstract

Highlights: The RRKPM for elastic dynamicsproblem of the FGM is proposed. The penalty factors, the scaling parameters and the shaped parameter are discussed. The influence of different gradient index on displacement is analyzed. Newmark- β method is selected for the time discretization. The validityof RRKPMto solve the elastic dynamicsproblem ofFGMisillustrated. Abstract: The radial basis reproducing kernel particle method (RRKPM) has been constructed by introducing the radial basis function (RBF) into the reproducing kernel particle method (RKPM). In this article, the RRKPM is extended to the elastic dynamic analysis of the functionally graded material (FGM), and the elastic dynamics governing equation of the FGM based on the RRKPM is obtained. Then, the influence of the penalty factor, the scaling parameter and the shaped parameter are discussed. Finally, numerical examples of the FGM verify that the RRKPM has a smaller calculation error than the RKPM, and prove the correctness of the RRKPM for solving the elastic dynamics problems of the FGM.