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Applied Mathematics and Mechanics

, Volume 31, Issue 11, pp 1337–1346 | Cite as

Improvement of FEM’s dynamic property

  • Zeng-rong Jiang (江增荣)
  • Peng-fei Duan (段鹏飞)
  • Xing-lin Guo (郭杏林)
  • Ding Hua (丁桦)Email author
Article

Abstract

The discretization size is limited by the sampling theorem, and the limit is one half of the wavelength of the highest frequency of the problem. However, one half of the wavelength is an ideal value. In general, the discretization size that can ensure the accuracy of the simulation is much smaller than this value in the traditional finite element method. The possible reason of this phenomenon is analyzed in this paper, and an efficient method is given to improve the simulation accuracy.

Key words

sampling theorem efficiency finite element discretization macro element condensation method deformation modification dispersion relationship 

Chinese Library Classification

O242.21 O343 O241.81 

2000 Mathematics Subject Classification

74S05 74H15 65N99 

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Copyright information

© Shanghai University and Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Zeng-rong Jiang (江增荣)
    • 1
  • Peng-fei Duan (段鹏飞)
    • 2
  • Xing-lin Guo (郭杏林)
    • 3
  • Ding Hua (丁桦)
    • 2
    Email author
  1. 1.The Second Research DepartmentEquipment Research Institute of PLA’s Second ArtilleryBeijingP. R. China
  2. 2.Institute of MechanicsChinese Academy of SciencesBeijingP. R. China
  3. 3.Department of Engineering MechanicsDalian University of TechnologyDalianLiaoning Province, P. R. China

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