Singular Perturbation Solutions of the Nonlinear Stability of a Truncated Shallow Spherical Shell under Linear Distributed Loads along the Interior Edge

Kang Sheng-liang

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Article Navigation > Applied Mathematics and Mechanics > 1993 > 14(10): 883-894

Kang Sheng-liang. Singular Perturbation Solutions of the Nonlinear Stability of a Truncated Shallow Spherical Shell under Linear Distributed Loads along the Interior Edge[J]. Applied Mathematics and Mechanics, 1993, 14(10): 883-894.

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Singular Perturbation Solutions of the Nonlinear Stability of a Truncated Shallow Spherical Shell under Linear Distributed Loads along the Interior Edge

Kang Sheng-liang

Tongji University, Shanghai

Received Date: 1992-09-09
Publish Date: 1993-10-15

Abstract

Abstract

Using a singular perturbation method, the nonlinear stability of a truncated shallow, spherical shell without a nondeformable rigid body at the center under linear distributed loads along the interior edge is investigated in this paper. When the geometrical parameter k is large, the uniformly valid asymptotic solutions are obtained.
- shallow shell,
- nonlinear-stability,
- singular perturbation solutions

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References(7)

References

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