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

作者：Zhang, Guiyong^*; Lu, Huan; Yu, Dapeng; Bao, Zhenming; Wang, Haiying

来源：Engineering Analysis with Boundary Elements, 2018, 87: 165-172.

DOI：10.1016/j.enganabound.2017.12.002

• Finite element method
• Node-based smoothed point interpolation method
• Dynamic analysis

Traditional fmite 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.

• 出版日期2018-2
• 单位大连海洋大学; 工业装备结构分析国家重点实验室; 大连理工大学; 江苏科技大学