Large‐step explicit time integration via mass matrix tailoring
Large‐step explicit time integration via mass matrix tailoring
复制标题
通过质量矩阵剪裁的大步长显式时间积分
DOI：
--
复制
发表时间：
2019
影响因子：
2.9
通讯作者：
K. Park
中科院分区：
文献类型：
--
作者：
J. A. González;K. Park
提出了一种可实现大时间步长显式暂态分析的质量矩阵剪裁方法。结果表明，本文的定制质量矩阵的精度保留了低频内容，同时有效地将不需要的较高网格频率替换为用户所需的截止频率。所提出的质量裁剪方法适用于单元系统、子结构系统和全局系统，不需要修改有限元生成程序。当与分割公式结合使用时，它在计算上变得最有吸引力，因为要过滤(或保留)的较高(或较低)模式的数量显著减少。数值实验表明，该方法能有效地滤除杆、梁、平面应力和板弯曲问题中的高阶振型，同时保留主要的低频成分。
A method for tailoring mass matrices that allows large time‐step explicit transient analysis is presented. It is shown that the accuracy of the present tailored mass matrix preserves the low‐frequency contents while effectively replacing the unwanted higher mesh frequencies by a user‐desired cutoff frequency. The proposed mass tailoring methods are applicable to elemental, substructural as well as global systems, requiring no modifications of finite element generation routines. It becomes most computationally attractive when used in conjunction with partitioned formulation as the number of higher (or lower) modes to be filtered out (or retained) are significantly reduced. Numerical experiments with the proposed method demonstrate that they are effective in filtering out higher modes in bars, beams, plain stress, and plate bending problems while preserving the dominant low‐frequency contents.