The Singular Perturbation for the Buckling of a Truncated Shallow Spherical Shell with the Large Geometrical Parameter

Kang Sheng-liang

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Article Navigation > Applied Mathematics and Mechanics > 1995 > 16(5): 431-442

Kang Sheng-liang. The Singular Perturbation for the Buckling of a Truncated Shallow Spherical Shell with the Large Geometrical Parameter[J]. Applied Mathematics and Mechanics, 1995, 16(5): 431-442.

Citation:

Kang Sheng-liang. The Singular Perturbation for the Buckling of a Truncated Shallow Spherical Shell with the Large Geometrical Parameter[J]. Applied Mathematics and Mechanics, 1995, 16(5): 431-442.

Citation:

Kang Sheng-liang. The Singular Perturbation for the Buckling of a Truncated Shallow Spherical Shell with the Large Geometrical Parameter[J]. Applied Mathematics and Mechanics, 1995, 16(5): 431-442.

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The Singular Perturbation for the Buckling of a Truncated Shallow Spherical Shell with the Large Geometrical Parameter

Kang Sheng-liang

Tongji University, Shanghai 2000

Received Date: 1994-07-04

Publish Date: 1995-05-15

Abstract

Abstract

A problem of practical interest for nonlinear axisymmetrical stability of a truncated shallow spherical shell of the large geometrical parameter with an articulated external edge and a nondeformable rigid,body at the center under compound loads is investigated in this paper.By using modified method of multiple scales,the uniformly valid asymptotic solutions of this boundary value problem are obtained when the geometrical parameter k is large.

Keywords:
shallow shell,

boundary layer,

singular perturbation

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References(8)

References

[1]
江福汝,关于椭圃型方程的奇摄动,复旦学报,2(1978),29-37.

[2]
T illman,S,C.,On the buckling behaviour of shallow spherical caps under a uniform pressure load,Int.J.Solids and Structures,6(1)(1970),37-45.

[3]
Srubshik,L,S,,On the subcritical equilibrium of thin shallow shell of rotstion and its stability,Soviet Appl,Math and Mech,,44(2)(1980).(in Russian).

[4]
叶开沉等,弹性圆底扁球壳在均布力矩作用下的非线性稳定问题,应用数学和力学,1(1)(1980),71-87.

[5]
康盛亮,大几何参数的开顶扁球壳的非线性稳定问题的奇摄动解法,同济大学学报,18(4)(1990),477-486.

[6]
康盛亮,集中载荷作用下开顶扁球壳的非线性稳定问题的渐近解,应用数学和力学,12(3)(1991),291-302.

[7]
Chien Wei-zang: The intrinsic theory of thin shells and plates,Quart,Appl.Math.,2(1944),120-135.

[8]
R.柯朗等,《数学物理方法》(Ⅰ)(钱敏等译),科学出版社,北京(1958),96-118.

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[1]	江福汝,关于椭圃型方程的奇摄动,复旦学报,2(1978),29-37.
[2]	T illman,S,C.,On the buckling behaviour of shallow spherical caps under a uniform pressure load,Int.J.Solids and Structures,6(1)(1970),37-45.
[3]	Srubshik,L,S,,On the subcritical equilibrium of thin shallow shell of rotstion and its stability,Soviet Appl,Math and Mech,,44(2)(1980).(in Russian).
[4]	叶开沉等,弹性圆底扁球壳在均布力矩作用下的非线性稳定问题,应用数学和力学,1(1)(1980),71-87.
[5]	康盛亮,大几何参数的开顶扁球壳的非线性稳定问题的奇摄动解法,同济大学学报,18(4)(1990),477-486.
[6]	康盛亮,集中载荷作用下开顶扁球壳的非线性稳定问题的渐近解,应用数学和力学,12(3)(1991),291-302.
[7]	Chien Wei-zang: The intrinsic theory of thin shells and plates,Quart,Appl.Math.,2(1944),120-135.
[8]	R.柯朗等,《数学物理方法》(Ⅰ)(钱敏等译),科学出版社,北京(1958),96-118.

The Singular Perturbation for the Buckling of a Truncated Shallow Spherical Shell with the Large Geometrical Parameter

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