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

KANG Sheng-liang

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KANG Sheng-liang. 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[J]. Applied Mathematics and Mechanics, 2001, (10): 1081-1091.

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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

KANG Sheng-liang

Department of Applied Mathematics, Tongji University, Shanghai 200092, P R China

Received Date: 1999-10-25
Rev Recd Date: 2001-04-27
Publish Date: 2001-10-15

Abstract

Abstract

Using the mo difie d method of multiple scales,the no nlinear stability of a truncated shallow spherical shell of variable thicknes swith a nondefor ma ble rigid body at the center under co mpound loads is investigated.When the geometrical parameter kislarger,the uniformly valid as ymptotic solutions of this problem are obtained and the remainder terms are estimated.
- shallow shell of variable thickness,
- nonlinear stability,
- modified method of multiple scales

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References(4)

References

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