Nonlinear free vibration of spherical shell panel using higher order shear deformation theory – A finite element approach

S.K. Panda1, B.N. Singh1
1Department of Aerospace Engineering, Indian Institute of Technology, Kharagpur, 721302, India

Tài liệu tham khảo

Shin, 1997, Large amplitude vibration behavior of doubly curved shallow shells with simply supported edges, Comput Struct, 62, 35, 10.1016/S0045-7949(96)00215-5 EL-Zaouk, 1973, Nonlinear vibration of orthotropic doubly-curved shallow shell, J Sound Vib, 31, 89, 10.1016/S0022-460X(73)80251-2 Dumir, 1988, Nonlinear forced vibration of orthotropic thin rectangular plates, Int J Mech Sci, 30, 371, 10.1016/0020-7403(88)90108-7 Sathyamoorthy, 1995, Nonlinear vibration of moderately thick orthotropic shallow spherical shells, Comput Struct, 57, 59, 10.1016/0045-7949(94)00585-Q Noor, 1993, Reduced basis technique for nonlinear vibration analysis of composite panels, Comput Methods Appl Mech Eng, 103, 175, 10.1016/0045-7825(93)90045-Y Lee, 1996, Analysis of nonlinear vibration of hybrid composite plates, Comput Struct, 61, 573, 10.1016/0045-7949(96)00055-7 Reddy, 1984, A refined nonlinear theory of plates with transverse shear deformation, Int J Solids Struct, 20, 881, 10.1016/0020-7683(84)90056-8 Ganapathi, 1991, Nonlinear flexural vibrations of laminated orthotropic plates, Comput Struct, 39, 685, 10.1016/0045-7949(91)90211-4 Singh, 1991, Large amplitude free vibration of simply supported antisymmetric crossply plates, AIAA J, 29, 784, 10.2514/3.10657 Reddy, 1982, Nonlinear oscillations of laminated anisotropic rectangular plates, J Appl Mech, 49, 396, 10.1115/1.3162100 Civalek, 2005, Geometrically nonlinear dynamic analysis of doubly curved isotropic shells resting on elastic foundation by a combination of harmonic differential quadrature-finite difference methods, Int J Press Vessels Piping, 82, 470, 10.1016/j.ijpvp.2004.12.003 Civalek, 2005, HDQ-FD integrated methodology for nonlinear static and dynamic response of doubly curved shallow shells, Int J Struct Eng Mech, 19, 535, 10.12989/sem.2005.19.5.535 Civalek, 2008, Vibration analysis of conical panels using the method of discrete singular convolution, Commun Numer Methods Eng, 24, 169, 10.1002/cnm.961 Chaudhuri, 1995, Fourier solution to higher-order theory-based laminated shell boundary-value problem, AIAA J, 33, 1681, 10.2514/3.12498 Dasgupta, 1997, A layer-wise analysis for free vibrations of thick composite spherical panels, J Compos Mater, 31, 658, 10.1177/002199839703100702 Naidu, 2005, Nonlinear finite element analysis of laminated composite shells in hygrothermal environments, Compos Struct, 69, 387, 10.1016/j.compstruct.2004.07.019 Naidu, 2006, Nonlinear transient analysis of laminated composite shells in hygrothermal environments, Compos Struct, 72, 280, 10.1016/j.compstruct.2004.12.001 Naidu, 2007, Nonlinear free vibration analysis of laminated composite shells in hygrothermal environments, Compos Struct, 77, 280, 10.1016/j.compstruct.2005.08.002 Ganapathi, 2004, Nonlinear dynamic analysis of thick composite/sandwich laminates using an accurate higher order theory, Compos Part B, 35, 345, 10.1016/S1359-8368(02)00075-6 Reddy, 2004 Sundaramoorthy, 1973, Incremental finite element matrices, J Struct Div, 99, 2423