A nesting cell-based smoothed radial point interpolation method with two-level smoothed strains for static, free and forced vibration analysis of solids. (February 2020)

• Record Type: Journal Article
• Authors: Pu, Nana; Ji, Le; Ma, Wentao
• Is Part Of: Engineering analysis with boundary elements. Volume 111(2020)
• Page Start: 101
• Page End: 117
• Publication Date: 2020-02
• Subjects: Meshfree method -- Nesting cell-based smoothed radial point interpolation method (CS-RPIM-N) -- Two-level smoothed strains -- Richardson extrapolation method -- Dynamic analysis; 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.2019.11.003
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: In this paper, a nesting cell-based smoothed radial point interpolation method with two-level smoothed strains (CS-RPIM-N) is presented for static, free and forced vibration analysis of solids. In the present method, displacement fields are constructed using the radial basis function augmented by polynomial. To improve the accuracy of the CS-RPIM, two-level sub-domains based on the triangular background integration cells are designed and used to construct the two-level smoothed strains. Each two-level sub-domains includes the triangular background cell itself and four equal-area triangular sub-cells. The discretized system equations are constructed by the Generalized smoothed Galerkin (GS-Garlerkin) weak form and Richardson extrapolation method. The accuracy, efficiency and stability of the present method are assessed by virtue of several numerical examples for the problems involving static, free and forced vibration analysis of solids. The numerical results reveal that the CS-RPIM-N stands out and achieves better performance compared to other existing approaches in the literature.