Abstract
In this paper, a simplified equation in complex form for axisymmetry elastic thin shells of revolution under arbitrary distributed loads is given. The equation is equivalent to the exact equations within the error range of the thin shell theory, with the singularities at the points of meridional extreme values eliminated. A Volterra integral equation of the problem and the numerical solutions are given.
Similar content being viewed by others
References
W. Flügge,Stresses in Shells, 2nd., New York (1973).
S. Timoshenko and S. Woinowsky-Krieger,Plates and Shells Theory, Translated by Science Press, Beijing (1977). (Chinese version).
Yang Yaoqian,Thin Shells Theory, Railway Press, Beijing, (1981). (in Chinese)
Cheng Shanlin, Axisymmtry problems of elliptical ring shells under arbitrary distributed load,Science in China (Scientia Sinica), Series A,32, 12 (1989), 1469–1482.
Chien Weizang, Equation in complex variable of axisymmetrical deformation problems for a general shell of revolution,Applied Mathematics and Mechanics (English Edition),11, 7 (1990), 605–620.
Chien Weizang and Zhen Seliang, Complex equations for axial symmetrical circular ring shell and the general solution of axial symmetrical slender ring shell,J. Tsing Hua University,19, 1 (1979), 27–41. (in Chinese)
Chen Shanlin, Axisymmtry problems of ring shells under arbitrary distributed load,Applied Mathematics and Mechanics (English Edition),7, 5 (1986), 461–470.
Chien Weizang,Selected Works of Applied Mathematics and Mechanics, Jiangsu Science Press (1980). (in Chinese)
Chen Shanlin,Modern Mathematics and Mechanics, Science press, Beijing (1989), 434–439. (in Chinese)
Author information
Authors and Affiliations
Additional information
Project supported by the National Natural Science Foundation of China
Rights and permissions
About this article
Cite this article
Shanlin, C., Dong, L. General axisymmetry problems for shells of revolution and analyses of integral equation. Appl Math Mech 19, 503–512 (1998). https://doi.org/10.1007/BF02453405
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02453405