轴对称结构动力弹塑性分析的无网格自然邻接点Petrov-Galerkin法

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Abstract A novel numerical method was developed to solve the dynamic elastoplastic problem of axisymmetric structures by means of the meshless natural neighbour Petrov-Galerkin method combined with the predictor-corrector form of the Newmark algorithm.The axial symmetry of geometry and boundary conditions helps to transform the three-dimensional (3D) axisymmetric problem into a two-dimensional (2D) problem, and it is only necessary to generate an array of scattered nodes on the cross section, therefore, complex meshing and disadvantage of mesh distortion are effectively avoided.The discretized governing equations for the axisymmetric dynamic elastoplastic analysis were derived by using the local weighted residual method over local polygonal sub-domain on the cross section and the predictor-corrector form of the Newmark algorithm was utilized to solve the discretized governing equations.In order to overcome the shortcoming that the essential boundary conditions cannot be directly imposed, the natural neighbour interpolation was utilized to construct trial functions.Numerical examples demonstrate that the proposed method for the dynamic elastoplastic analysis of axisymmetric structures is effective.

Key words： axisymmetric meshless method natural neighbour interpolation dynamic response elastoplasticity local weighted residual method

Received: 13 August 2020 Published: 28 May 2021

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	Articles by authors
	CHEN Shenshen1
	XIAO Shucong1
	ZHOU Shutao2

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CHEN Shenshen1,XIAO Shucong1,ZHOU Shutao2. Dynamic elastoplastic analysis of axisymmetric structures by the meshless natural neighbour Petrov-Galerkin method[J]. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(10): 204-208.

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http://jvs.sjtu.edu.cn/EN/ OR http://jvs.sjtu.edu.cn/EN/Y2021/V40/I10/204

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