| 改进有限单元法动力特性方法的探讨 |
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| 引用本文： | 江增荣,段鹏飞,郭杏林,丁桦. 改进有限单元法动力特性方法的探讨[J]. 应用数学和力学, 2010, 31(11): 1267-1275. DOI: 10.3879/j.issn.1000-0887.2010.11.001 |
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| 作者姓名： | 江增荣 段鹏飞 郭杏林 丁桦 |
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| 作者单位： | 第二炮兵装备研究院第二研究所,北京100085;2.中国科学院力学研究所,北京100080;3.大连理工大学 工程力学系,辽宁大连116024 |
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| 基金项目： | 广州中国科学院工业技术研究院CAE发展基金的资助 |
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| 摘 要： | 采样定理告诉人们进行离散逼近离散尺寸的极限是问题中所涉及最高频率波长的1/2．1/2波长是一理想值，在目前的有限元分析中，通常保证精度的空间离散尺寸远小于这一理想值．文中分析了这一现象的可能原因，同时给出了一种基于有限元的在一定条件下能够改进空间离散效率的动力模拟方法．
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| 关 键 词： | 采样定理 有限元离散效率 基于变形修正的宏单元 频散效应 |
| 收稿时间： | 1900-01-01 |
Method of Improving FEM Dynamic Property |
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| JIANG Zeng-rong,DUAN Peng-fei,GUO Xing-lin,DING Hua. Method of Improving FEM Dynamic Property[J]. Applied Mathematics and Mechanics, 2010, 31(11): 1267-1275. DOI: 10.3879/j.issn.1000-0887.2010.11.001 |
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| Authors: | JIANG Zeng-rong DUAN Peng-fei GUO Xing-lin DING Hua |
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| Affiliation: | The Second Research Department, Equipment Research Institute of PLA's Second Artillery Corps, Beijing 100085, P. R. China; |
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| Abstract: | The discretization size is limited by the sampling theorem,the limit is 1/2 of the wavelength of highest frequency of the problem.The 1/2 of the wavelength is an ideal value,in general,the discretization size which could ensure the accuracy of the simulation is much smaller than this value in the traditional finite element method.The possible reason of the phenomena was analyzed.An efficient method was given to improve the accuracy of the simulation. |
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| Keywords: | sampling theorem the efficiency of finite element discretization macroelement based on deformation modification dispersion relation |
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