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Large deflection of circular plate under compound load

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Abstract

By means of the perturbation method, this paper presents an approximate solution for large deflection of clamped circular plate under uniform pressure together with a concentrated load at the center. The special case of vanishing central deflection is also discussed. In this paper, a load distribution function is introduced so as to make the compound loads depend on a single load parameter, and average angular deflection is used as the single displacement perturbation parameter.

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References

  1. Con Kármán, Th., The engineer grapples with nonlinear problem, Buli. Amer. Math. Soc., 46, (1940), 615–683.

    Google Scholar 

  2. Chien Wei-zang, Large deflection of a circular clamped plate under uniform pressure, Chinese Journal of Physics, 7, (1947), 102–113. (in English)

    MathSciNet  Google Scholar 

  3. Chien Wei-zang and Yeh Kai-yuan, On the large deflection of circular plate, Chinese Journal of Physics, 10, (1954), 209–238. (in Chinese)

    Google Scholar 

  4. Yeh Kai-yuan, On the large deflection of annular thin plate under edge load, Chinese Journal of Physics, 9, (1953), 110–129. (in Chinese)

    Google Scholar 

  5. Hu Hai-chang, On the large deflection of a circular plate under combined action of uniformly distributed load and concentrated load at the center, Chinese Journal of Physics, 10, (1954), 383–394. (in Chinese)

    Google Scholar 

  6. Pan Li-zhou, On the large deflection of elliptical clamped plate, unpublished.

  7. Chien Wei-zang, Lin Hung-sun, Hu Hai-chang and Yeh Kai-yuan, On the large deflection of elastic circular plate, (collected works), Academia Sinica, (1954). (in Chinese)

  8. Chen Shan-lin, Elastic Behavior of Uniformly Loaded Circular Corrugated Plate with Sine Shaped Shallow Waves in Large Deflection, Applied Math. and Mech., 1, (1980), 261–272.

    Google Scholar 

  9. Nash, W. A. and I. D. Cooly, Large deflection of a clamped elliptical plate subjected to uniform pressure, Trans. ASME, J. of Appl. Mech., Vol. 26, No. 2, (1959), 291–293.

    Google Scholar 

  10. Schmidt, R. and D. A. DaDeppo, A new approach to the analysis of shells, plates and membranes with finite deflections, Inter. J. of Nonlinear Mech., Vol. 2, No. 5, (1974), 409–419.

    Article  Google Scholar 

  11. DaDeppo, D. A. and R. Schmidt, Moderately large deflections of a loosely clamped circular plate under a uniformly distributed pressure, Indus. Math., Vol. 25, No. 1 (1975), 17–28.

    MATH  Google Scholar 

  12. Chen Shan-lin and Kuang Ji-chang, The perturbation parameter in the problem of large deflection of clamped circular plates, Applied Mathematics and Mechanics, Vol. 2, No. 1 (1981), 131–144.

    Article  Google Scholar 

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Authors and Affiliations

  1. Qing Hua University, Beijing

    Hwang Chien

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  1. Hwang Chien
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Chien, H. Large deflection of circular plate under compound load. Appl Math Mech 4, 791–804 (1983). https://doi.org/10.1007/BF02432089

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  • DOI: https://doi.org/10.1007/BF02432089

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