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轴对称弹性动力学问题的重构核插值法

陈莘莘 曾佳伟

陈莘莘, 曾佳伟. 轴对称弹性动力学问题的重构核插值法[J]. 应用数学和力学, 2019, 40(8): 938-944. doi: 10.21656/1000-0887.390242
引用本文: 陈莘莘, 曾佳伟. 轴对称弹性动力学问题的重构核插值法[J]. 应用数学和力学, 2019, 40(8): 938-944. doi: 10.21656/1000-0887.390242
CHEN Shenshen, ZENG Jiawei. A Reproducing Kernel Interpolation Method for Axisymmetric Elastodynamic Problems[J]. Applied Mathematics and Mechanics, 2019, 40(8): 938-944. doi: 10.21656/1000-0887.390242
Citation: CHEN Shenshen, ZENG Jiawei. A Reproducing Kernel Interpolation Method for Axisymmetric Elastodynamic Problems[J]. Applied Mathematics and Mechanics, 2019, 40(8): 938-944. doi: 10.21656/1000-0887.390242

轴对称弹性动力学问题的重构核插值法

doi: 10.21656/1000-0887.390242
基金项目: 国家自然科学基金(11462006;11772129)
详细信息
    作者简介:

    陈莘莘(1975—),男,教授,博士(通讯作者. E-mail: chenshenshen@tsinghua.org.cn).

  • 中图分类号: O241;O343

A Reproducing Kernel Interpolation Method for Axisymmetric Elastodynamic Problems

Funds: The National Natural Science Foundation of China(11462006;11772129)
  • 摘要: 重构核插值法是近年来提出的一种新型无网格方法.该方法的形函数具有点插值性和高阶光滑性,不仅能够直接施加本质边界条件,而且能保证较高的计算精度.为了更有效地求解三维轴对称弹性动力学问题,对重构核插值法(reproducing kernel interpolation method, RKIM)应用于此类问题进行了研究,并发展了相应的数值模拟方法.由于几何形状和边界条件的轴对称性,计算时只需要横截面上离散节点的信息,因而前处理变得简单.采用Newmark-β法进行了时域积分.数值算例表明,轴对称弹性动力学分析的重构核插值法既有无网格方法的优势,又有较高的计算精度.
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出版历程
  • 收稿日期:  2018-09-13
  • 修回日期:  2018-11-15
  • 刊出日期:  2019-08-01

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