Analysis of non-linear behaviour of imperfect shallow spherical shells on pasternak foundation by the asymptotic iteration method

International Journal of Pressure Vessels and Piping - Tập 80 Số 4 - Trang 229-235 - 2003
G.H. Nie1
1Key Laboratory of Solid Mechanics of MOE, Department of Engineering Mechanics, Tongji University, Shanghai 200092, People's Republic of China

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Tài liệu tham khảo

Ramachandran, 1976, Non-linear vibrations of a shallow cylindrical panel on an elastic foundation, J Sound Vibr, 47, 495, 10.1016/0022-460X(76)90876-2

Massalas, 1979, Non-linear vibrations of a shallow cylindrical panel on a non-linear elastic foundation, J Sound Vibr, 66, 507, 10.1016/0022-460X(79)90694-1

Nath, 1983, Non-linear dynamic analysis of shallow spherical shells on elastic foundations, Int J Mech Sci, 25, 409, 10.1016/0020-7403(83)90055-3

Dumir, 1985, Nonlinear axisymmetric response of orthotropic thin spherical caps on elastic foundation, Int J Mech Sci, 27, 751, 10.1016/0020-7403(85)90007-4

Jain, 1986, Effect of foundation nonlinearity on nonlinear transient response of orthotropic shallow spherical shells, Ingenieur-Archiv, 56, 295, 10.1007/BF00542480

Paliwal, 1986, Shallow spherical shells on pasternak foundation, ASCE J Engng Mech, 4, 411

Paliwal, 1986, Static and dynamic behavior of shallow spherical shells on winkler foundation, Thin Walled Struct, 112, 175

Mahrenholtz, 1987, Non-linear dynamic response of doubly curved shallow shells on nonlinear elastic subgrade, ZAMM, 67, T218

Nath, 1987, Non-linear dynamic response of a doubly curved shallow shell on an elastic foundation, J Sound Vibr, 112, 53, 10.1016/S0022-460X(87)80093-7

Paliwal, 1992, Large deflection analysis of a shallow spherical shell on pasternak foundation, Int J Pressure Vessels Piping, 52, 189, 10.1016/0308-0161(92)90015-8

Chia, 1987, Nonlinear vibration and postbuckling of unsymmetrically laminated imperfect cylindrical panels with mixed boundary conditions resting on elastic foundation, Int J Engng Sci, 25, 427, 10.1016/0020-7225(87)90069-3

Chia, 1988, Nonlinear analysis of doubly curved symmetrically laminated shallow shells with rectangular planform, Ingenieur-Archiv, 58, 252, 10.1007/BF00535935

Chia, 1990, Nonlinear analysis of imperfect cylindrical angle-ply panels, 197

Librescu, 1997, Postbuckling and vibration of shear deformable flat and curved panels on a non-linear elastic foundation, Int J Non-Linear Mech, 32, 211, 10.1016/S0020-7462(96)00057-1

Dumir, 1984, Axisymmetric static and dynamic buckling of orthotropic shallow spherical caps with flexible supports, Acta Mechanica, 52, 93, 10.1007/BF01175967

Nie, 1995, A non-linear model for stability analysis of reticulated shallow shells with imperfections, Int J Space Struct, 10, 215, 10.1177/026635119501000404

Nie, 2000, Non-linear free vibration of single-layer reticulated shallow spherical shells, Int J Space Struct, 15, 53, 10.1260/0266351001494964

Nie, 2001, Asymptotic buckling analysis of imperfect shallow shells on non-linear elastic foundation, Int J Mech Sci, 43, 543, 10.1016/S0020-7403(99)00118-6

Timoshenko, 1959