Applied Mathematics and Mechanics

, Volume 1, Issue 3, pp 341–356 | Cite as

The general solution of bending of a spherical thin shallow shell with a circular hole at the center under arbitrary transverse loads

  • Hsu Chin-yun
  • Yeh Kai-yuan


Basing several suggestions appeared in [1], we find out the general solution of the bending of a spherical thin shallow shell with a circular hole at the center. As we know, very few papers had touched upon these problems.


Mathematical Modeling General Solution Industrial Mathematic Circular Hole Transverse Load 
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  1. 1.
    Yeh Kai-yuan and Hsu Jian-yun: The General Solution and Some Applications of the Bending of the Circular Thin Plate under the Action of the Arbitrarily Distributed Transverse Load (in Chinese),Journal of Lanchow University, Special Issue on Mechanics, No. 1, pp. 202–226 (1979).Google Scholar
  2. 2.
    Власов, В. З., The General Theory of Shells (Chinese Translation), People's Educational Press, pp. 414–455 (1960).Google Scholar
  3. 3.
    Reissner, E., On the determination of stresses and displacements for unsymmetrical deformation of shallow spherical shells,J. Mat. and Phys.,38, 16–35, (1959)Google Scholar
  4. 4.
    Гнатыкив, В. Н., Частные решения уравнений некоторы частичных нагрузок, Изв. АН СССР, отд. техн. и., Механ и Машиностр.,3, 186–189, (1960).Google Scholar
  5. 5.
    Юматов, В. П. Крешению уравнений пологой сферической оболочки. Выш. Учебк. Завелений Машинестроение.7, 15–18. (1961).Google Scholar

Copyright information

© Techmodern Business Promotion Centre 1980

Authors and Affiliations

  • Hsu Chin-yun
    • 1
  • Yeh Kai-yuan
    • 1
  1. 1.Lanzhou UniversityLanzhou

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