NONLINEAR DYNAMIC RESPONSE AND DYNAMIC BUCKLING OF SHALLOW SPHERICAL SHELLS WITH CIRCULAR HOLE

摘要/Abstract

摘要： 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 space and Newmarh-β scheme 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.

关键词: shallow spherical shell, nonlinearity, dynamic response, dynamic buckling, orthogonal point collocation method

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 space and Newmarh-β scheme 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.

Key words: shallow spherical shell, nonlinearity, dynamic response, dynamic buckling, orthogonal point collocation method

付衣铭;刘小虎. NONLINEAR DYNAMIC RESPONSE AND DYNAMIC BUCKLING OF SHALLOW SPHERICAL SHELLS WITH CIRCULAR HOLE[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(2): 159-171.

Fu Yi-ming;Liu Xiao-hu. NONLINEAR DYNAMIC RESPONSE AND DYNAMIC BUCKLING OF SHALLOW SPHERICAL SHELLS WITH CIRCULAR HOLE[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(2): 159-171.

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