A node-based partly smoothed point interpolation method (NPS-PIM) for dynamic analysis of solids. (February 2018)

• Record Type: Journal Article
• Authors: Zhang, Guiyong; Lu, Huan; Yu, Dapeng; Bao, Zhenming; Wang, Haiying
• Is Part Of: Engineering analysis with boundary elements. Volume 87(2018)
• Page Start: 165
• Page End: 172
• Publication Date: 2018-02
• Subjects: Finite element method -- Node-based smoothed point interpolation 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.2017.12.002
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: Traditional finite element method (FEM) using linear triangular element is overly-stiff and generally natural frequencies calculated would be too high. The newly developed node-based smoothed point interpolation method (NS-PIM) has overly-soft stiffness, which makes it provide natural frequencies smaller than the exact ones and has the problem of temporally instability. So this work proposed a node-based partly smoothed point interpolation method (NPS-PIM) by combing the ideas of both FEM and NS-PIM through node-based partly strain smoothing operation. Owing to the properly constructed stiffness, detailed numerical study has shown that the NPS-PIM not only successfully overcomes the temporal instability existing in the NS-PIM, but also provides more accurate results than both FEM and NS-PIM models. The use of linear triangular background cells makes the present method very competitive for solving practical engineering problems with complicated shapes.