Abstract
In this paper, to begin with, the nonlinear differential equations of a truncaled shallow spherical shell with variable thickness under uniformly distributed load are linearized by step-by-step loading method. The linear differential equations can be solved by spline collocation method. Critical loads have been obtained accordingly.
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References
Li Yuesheng and Qi Dongxu, Spline Function Method, Science Press (1979). (in Chinese)
A. C. Vol'mir, Flexible Plates and Shells, Moscow (1956). (in Russian)
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Communicated by He Fubao
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Shengping, Y. Nonlinear stability of truncated shallow spherical shell with variable thickness under uniformly distributed load. Appl Math Mech 18, 1015–1020 (1997). https://doi.org/10.1007/BF00189293
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DOI: https://doi.org/10.1007/BF00189293