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Application of Meshless Method in Dynamic Mechanics
作者姓名:ZHAO  Guang-ming~
作者单位:1. Department of Resource Exploration and Management Engineering, Anhui University of Science and Technology, Huainan 232001, China; 2. Department of Applied Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, China
摘    要:As a new type of meshless method which has appeared in recent years, the Reproducing Kernel Particle Method has such meshless features as the need for nodes only without classified units, and is advantageous in the process of calculation. The present study introduces the Reproducing Kernel Particle Method and applies it to the research of nonlinear dynamic mechanics. The dynamic process involves different kinds of nonlinearity. The study assumes that deformation of dynamic analysis belongs to small one and that the material nonlinearity has been taken into account. When under small strain, the increment constitutive law and the total Lagrangian model of calculation are adopted to deduce the dynamic control equation by the Reproducing Kernel Particle Method. The instances of calculation demonstrate that this method is effective in the analysis of dynamic problems.

关 键 词:reproducing  kernel  particle  method    meshless  method    dynamic    nonlinearity
收稿时间:2005/11/13 0:00:00
修稿时间:2005/11/13 0:00:00

Application of Meshless Method in Dynamic Mechanics
ZHAO Guang-ming.Application of Meshless Method in Dynamic Mechanics[J].Storage & Process,2006(4):54-57.
Authors:ZHAO Guang-ming
Institution:1. Department of Resource Exploration and Management Engineering, Anhui University of Science and Technology, Huainan 232001, China; 2. Department of Applied Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, China
Abstract:As a new type of meshless method which has appeared in recent years, the Reproducing Kernel Particle Method has such meshless features as the need for nodes only without classified units, and is advantageous in the process of calculation. The present study introduces the Reproducing Kernel Particle Method and applies it to the research of nonlinear dynamic mechanics. The dynamic process involves different kinds of nonlinearity. The study assumes that deformation of dynamic analysis belongs to small one and that the material nonlinearity has been taken into account. When under small strain, the increment constitutive law and the total Lagrangian model of calculation are adopted to deduce the dynamic control equation by the Reproducing Kernel Particle Method. The instances of calculation demonstrate that this method is effective in the analysis of dynamic problems.
Keywords:reproducing kernel particle method  meshless method  dynamic  nonlinearity
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