Nonlinear Dynamic Response and Dynamic Buckling of Shallow Spherical Shells with Circular Hole

Fu Yi-ming; Liu Xiao-hu

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Fu Yi-ming, Liu Xiao-hu. Nonlinear Dynamic Response and Dynamic Buckling of Shallow Spherical Shells with Circular Hole[J]. Applied Mathematics and Mechanics, 1992, 13(2): 145-156.

Citation:

Fu Yi-ming, Liu Xiao-hu. Nonlinear Dynamic Response and Dynamic Buckling of Shallow Spherical Shells with Circular Hole[J]. Applied Mathematics and Mechanics, 1992, 13(2): 145-156.

Citation:

Fu Yi-ming, Liu Xiao-hu. Nonlinear Dynamic Response and Dynamic Buckling of Shallow Spherical Shells with Circular Hole[J]. Applied Mathematics and Mechanics, 1992, 13(2): 145-156.

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Nonlinear Dynamic Response and Dynamic Buckling of Shallow Spherical Shells with Circular Hole

Dept. of Engineering Mechanics, Hunan University, Changsha

Received Date: 1991-03-04
Publish Date: 1992-02-15

Abstract

Abstract

In this paper,the nonlinear equations of motion for shallow spherical shells with axisymmetric deformation including transverse shear are derived, The nonlinear static and dynamic response and dynamic buckling of shallow spherical shells with circular hole on elastically restrained edge are investigated.By using the orthogonal point collocation method for spaca and Newmark-β schmne for time,the displacement functions are separated and the nonlinear differential equations are replaced by linear algebraic equations to seek solutions.The numerical results are presented for different cases and compared with available data.
- shallow spherical shell,
- nonlinearity,
- dynamic response,
- dynamic buckling,
- orthogonal point collocation method

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References(9)

References

[1]	符拉索夫著,薛振东、朱世靖译,《壳体的一般理论》,人民教育出版社(1964).
[2]	Grossman,P.L.,B.Koplik and Yu Yi-yuan,Nonlinear vibrations of shallow spherical shells,J.Appl.Mech.,3(1969),451-458.
[3]	Varadan,T.K.and K.A.V.Pandalai,Nonlinear flexural oscillations of orthotropic shallow spherical shells,Compu.& Structures,9(1978),417-425.
[4]	Archer,R.R.and C.G.Lange,Nonlinear dynamic behavior of shallow spherical shells,AIAA J.,19.(1965),2313-2317.
[5]	Stephens,W.B.and R.E.Fulton,Axisymmetric static and dynamic buckling of spherical caps due to centrally distributed pressures,AIAA J.,6(1969).
[6]	Nath,Y.,P.C.Dumir and R.S.Bhatia,Nonlinear static and dynamic analysis of circular plates and shallow spherical shells using the collocation method,Internat.J.Numer.Methods Engrg.,21(1985),565-578.
[7]	Nath,Y.and R.K.Jain,Nonlinear studies of orthotropic shallow spherical shells on elastic foundation,Internat.J.Non-Linear Mech.,6(1986),447-458.
[8]	Dumir,P.C.,M.L.Gandhi and Y.Nath,Axisymmetric static and dynamic buckling of orthotropic shallow spherical cap with circular hole,Compu.& Structures,19(1984),725-736.
[9]	Alwar,R.S.and B.S.Reddy,Dynamic buckling ofisotropicand orthotropic shallow spherical cap with circular hole,Internat.J.Mech.Sci.,21(1979),681-688.