Nonlinear dynamic response and dynamic buckling of shallow spherical shells with circular hole |
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Authors: | Fu Yi-ming Liu Xiao-hu |
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Institution: | Dept.of Engineering Mechanics, Hunan University, Changsha |
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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 Newmark-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. |
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Keywords: | shallow spherical shell nonlinearity dynamic response dynamic buckling orthogonal point collocation method |
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