Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (6): 507-519.

• 论文 • 上一篇    下一篇

THE CURVED BEAM ELEMENT AND ITS CONVERGENCE RATE

吕和祥, 唐立民, 刘秀兰   

  1. Department of Engineering Mechanics, Dalian Institute of Technology, Dalian
  • 收稿日期:1988-03-02 出版日期:1989-06-18 发布日期:1989-06-18
  • 基金资助:

    The Project Supported by National Natural Science Foundation of China

THE CURVED BEAM ELEMENT AND ITS CONVERGENCE RATE

Lü He-xiang, Tang Li-min, Liu Xiu-lan   

  1. Department of Engineering Mechanics, Dalian Institute of Technology, Dalian
  • Received:1988-03-02 Online:1989-06-18 Published:1989-06-18
  • Supported by:

    The Project Supported by National Natural Science Foundation of China

摘要: The quasi-conforming element of the curved beam and shallow curved beam is given in this paper. Numerical examples illustrate that the quasi-conforming elements of the curved beam and shallow curved beam which is used to approximate the curved beam have better accuracy than the straight beam clement. The curved beam element constructed by displacement method can not satisfy rigid body motion condition and the very fine grids have to be used in order to satisfy rigid body motion condition approxtmately.In this paper it is proved that the straight beam element and the quasi-conforming element of the curved beam and shallow curved beam, when element size is reduced infinitely, have convergence rate with the same order O(l2) and when regular elements are used. I is the element length.

Abstract: The quasi-conforming element of the curved beam and shallow curved beam is given in this paper. Numerical examples illustrate that the quasi-conforming elements of the curved beam and shallow curved beam which is used to approximate the curved beam have better accuracy than the straight beam clement. The curved beam element constructed by displacement method can not satisfy rigid body motion condition and the very fine grids have to be used in order to satisfy rigid body motion condition approxtmately.In this paper it is proved that the straight beam element and the quasi-conforming element of the curved beam and shallow curved beam, when element size is reduced infinitely, have convergence rate with the same order O(l2) and when regular elements are used. I is the element length.

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