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General axisymmetry problems for shells of revolution and analyses of integral equation

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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.

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Project supported by the National Natural Science Foundation of China

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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

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  • DOI: https://doi.org/10.1007/BF02453405

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