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Asymptotic solutions of the nonlinear stability of a truncated shallow spherical shell under a concentrated load

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Abstract

In this paper, the nonlinear stability problem of a clamped truncated shallow spherical shell with a nondeformable rigid body at the center under a concentrated load is studied by means of the singular perturbation method. When the geometrical parameter k is large, the uniformly valid asymptotic solutions are obtained.

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Communicated by Jiang Fu-ru

Dedicated to the Tenth Anniversary and One Hundred Numbers of AMM (III)

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Sheng-liane, K. Asymptotic solutions of the nonlinear stability of a truncated shallow spherical shell under a concentrated load. Appl Math Mech 12, 313–326 (1991). https://doi.org/10.1007/BF02098062

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  • DOI: https://doi.org/10.1007/BF02098062

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