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On analytical-computerized method to solve nonlinear bending problem of circular plate under a concentrated load

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Abstract

In this paper, we have got a procedure of the recurrence formulas of analytical solution of iteration on solving the large deflection problem of circular plate under a concentrated load by computer. By researching convergence of the method, we have got a convergent upper bound value about load p, which is a useful criterion for analytical-computerized method.

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References

  1. Yeh Kai-yuan and Gu Shu-xian, Nonlinear stability of a spherical shallow shell under uniformly distributed pressure,Proceedings of the Chinese National 1980 Conference of Computational Mechanics, held by Chinese Society of Theoretical and Applied Mechanics, Hangzhou (1981), 280–287. (in Chinese)

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  3. Yeh Kai-yuan, Zheng Xiao-jing and Zhou You-he, An analytical formula of exact solution to Kármán's equations of circular plate under a concentrated load,Proc. ICNM, Shanghai, Science Press, Beijing, China (1985), 386 - 391.

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Authors and Affiliations

  1. Lanzhou University, Lanzhou

    Zheng Xiao-jing

  2. Huazhong University of Science and Technology, Wuhan

    Zhou You-he

Authors
  1. Zheng Xiao-jing
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  2. Zhou You-he
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Communicated by Yeh Kai-yuan

Projects Supported by the Science Fund of the Chinese Academy of Sciences.

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Xiao-jing, Z., You-he, Z. On analytical-computerized method to solve nonlinear bending problem of circular plate under a concentrated load. Appl Math Mech 8, 759–766 (1987). https://doi.org/10.1007/BF02017983

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  • DOI: https://doi.org/10.1007/BF02017983

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