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The curved beam element and its convergence rate

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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 element. 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 approximately.

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 l is the element length.

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References

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Authors and Affiliations

  1. Department of Engineering Mechanics, Dalian Institute of Technology, Dalian

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

Authors
  1. Lü He-xiang
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  2. Tang Li-min
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  3. Liu Xiu-lan
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The Project Supported by National Natural Science Foundation of China.

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He-xiang, L., Li-min, T. & Xiu-lan, L. The curved beam element and its convergence rate. Appl Math Mech 10, 507–519 (1989). https://doi.org/10.1007/BF02017894

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  • DOI: https://doi.org/10.1007/BF02017894

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