Method of Improving FEM Dynamic Property

JIANG Zeng-rong; DUAN Peng-fei; GUO Xing-lin; DING Hua

doi:10.3879/j.issn.1000-0887.2010.11.001

Volume 31 Issue 11

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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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Method of Improving FEM Dynamic Property

doi: 10.3879/j.issn.1000-0887.2010.11.001

1.
The Second Research Department, Equipment Research Institute of PLA's Second Artillery Corps, Beijing 100085, P. R. China;

Received Date: 1900-01-01
Rev Recd Date: 2010-09-27
Publish Date: 2010-11-15

Abstract

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.
- sampling theorem,
- the efficiency of finite element discretization,
- macroelement based on deformation modification,
- dispersion relation

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References(14)

References

[1]	Zienkiewicz O C, Taylor R L. 有限单元方法[M]. 第5版. 庄茁, 岑松译. 北京：清华大学出版社，2008.
[2]	钟万勰. 结构动力方程的精细时程积分法[J]. 大连理工大学学报, 1994, 34(2): 131-136.
[3]	钟万勰. 暂态历程的精细计算方法[J]. 计算力学及其应用, 1995, 12(1): 1-6.
[4]	WANG Meng-fu, Au F T K. Higher-order schemes for time integration dynamic structural analysis[J]. Journal of Sound and Vibration, 2004, 277 (3): 122-128.
[5]	赵又群, 刘中生. 模态截断与简谐载荷的响应灵敏度分析[J]. 计算结构力学及其应用, 1996, 13(3): 313-319.
[6]	向树红, 邱吉宝, 王大钧. 模态分析与动态子结构方法新进展[J]. 力学进展, 2004, 34(3): 289-303.
[7]	王永岩. 动态子结构方法理论及应用[M]. 北京: 科学出版社, 1999.
[8]	楼梦麟. 结构动力分析的子结构方法[M]. 上海: 同济大学出版社, 1997.
[9]	刘彬，丁桦，时忠民. 基于柔度修正的局部刚体化结构动力模型简化方法[J]. 工程力学, 2007, 24(10): 25-29.
[10]	郑淑飞, 丁桦. 基于变形修正的局部刚体化动力模型简化方法[J]. 力学与实践，2008，30(6)：31-34.
[11]	郑淑飞. 基于变形修正的局部刚体化动力模型简化方法及应用[D]. 硕士论文.北京：中国科学院力学研究所，2009.
[12]	刘晶波. 波动的有限元模拟及复杂场地对地震动的影响[D]. 博士论文. 北京：国家地震局工程力学研究所，1990.
[13]	LIU Jing-bo, LIAO Zhen-peng. In-plane wave motion in finite element model[J]. Acta Mechanica Sinica, 1992, 8(1):80-87. doi: 10.1007/BF02486919
[14]	段鹏飞. 基于变形修正宏单元算法的频散特性研究[D]. 硕士论文. 北京：中国科学院力学研究所，2010.