Abstract
In this paper, based on ref.[1], the axisymmetrical buckling of simply supported cylindrical sandwich shells under the action of uniform axial load is solved by a rigorous method. The classical theory of shells is used for the two face sheets and the core is considered as a three-dimensional elastic body. A series of transcendental equations are obtained, from which the critical loads can be calculated by numerical methods. Numerical examples are given to compare with the solutions of sandwich shell theories.
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References
Wang Zhen-ming, Investigation of the stability problem of elastic bodies using the method of mathematical theory of elasticity,Applied Mathematics and Mechanics,2 1 (1981), 49–74.
Wang Zhen-ming, The stability problem of unsymmetric struction cylindrical sandwich shells under axial load, (1963, Kept in Library of Academia Sinica).
Kurshin, L. M., The equations of sandwich cylindrical shells,Izvestiya Akademii Nauk SSSR. (Department of technical sciences).3 (1958), 142–144. (in Russian)
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communicated by Cuo Zhong-heng
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Zhen-ming, W., Fu-ling, D. A rigorous solution for the axisymmetrical buckling of simply supported cylindrical sandwich shells under axial load. Appl Math Mech 6, 157–168 (1985). https://doi.org/10.1007/BF01874954
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DOI: https://doi.org/10.1007/BF01874954