Abstract
Using the modified method of multiple scales, the nonlinear stability of a truncated shallow spherical shell of variable thickness with a nondeformable rigid body at the center under compound loads is investigated. When the geometrical parameter k is larger, the uniformly valid asymptotic solutions of this problem are obtained and the remainder terms are estimated.
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Kang, Sl. The Method of Multiple Scales Applied to the Nonlinear Stability Problem of a Truncated Shallow Spherical Shell of Variable Thickness with the Large Geometrical Parameter. Applied Mathematics and Mechanics 22, 1198–1209 (2001). https://doi.org/10.1023/A:1016353518410
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DOI: https://doi.org/10.1023/A:1016353518410