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The calculation of bending and stability of a thin rectangular plate for variable rigidity

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Abstract

The subject discussed in this paper is the rectangular plate. Its wwo opposite edges are simply supported, while the other two are arbitrary, and the rigidity of the plate is variable along the direction parallel to the simply supported edges. In order to solve the problem, the author adopts the finite plate-strip element method[1], which is different from the usual finite element method or the finite strip method. The steps of the above method is no longer to establish a rigidity matrix for elements or strips and gather them into a total matrix for solution. Now the relation of transfer between the strain and inner force of every plate-strip is shown. Finally a practical example is given and this method is found to be easier and more effective.

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References

  1. Huang Dao-an,The application of Cauchy integration to the bending of axially symmetrical circular plate, Journal of Nanjing Aeronautical Institute, No. 4 (1982). (in Chinese)

  2. Timeshenko, S. P. and S. Weinowsky-Krieger,Theory of Plates and Shells, 2nd ed., McGraw-Hill, (1959).

  3. Timeshenko, S.P.,Theory of Elastic Stability, (1936).

  4. Джанелидзе, Г. Ю., Обзор работ по теории изгиба тонхих и толстых плит, Опубликованных в СССРПММ, Т. XI, Вып. I (1948), 109–128.

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  5. Cheung, Y.K.,Finite strip method analysis of elastic slabs, Proc. Asce., Eng. Mech. Div. (1968).

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Authors and Affiliations

  1. Shanghai Part-time Institute of Technology, Shanghai

    Huang Dao-an

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  1. Huang Dao-an
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Communicated by Yeh Kai-yuan.

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Dao-an, H. The calculation of bending and stability of a thin rectangular plate for variable rigidity. Appl Math Mech 4, 511–523 (1983). https://doi.org/10.1007/BF01874665

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  • DOI: https://doi.org/10.1007/BF01874665

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