The closed form general solutions of 2-D curved laminated beams of variable curvatures
Tài liệu tham khảo
Markus, 1981, Vibration of curved beam, Shock Vibrat Digest, 13, 3, 10.1177/058310248101300403
Chidamparam, 1993, Vibrations of planar curved beams, rings, and arches, Appl Mech Rev, 46, 467, 10.1115/1.3120374
Petyt, 1971, Free vibration of a curved beam, J Sound Vib, 18, 17, 10.1016/0022-460X(71)90627-4
Davis, 1972, Constant curvature beam finite elements for in-plane vibration, J Sound Vib, 25, 561, 10.1016/0022-460X(72)90478-6
Cheng, 1997, Finite element methods for Timoshenko beam, circular arch and Reissner–Mindlin plate problems, J Comput Appl Math, 79, 215, 10.1016/S0377-0427(97)00159-3
Krishnan, 1998, A simple cubic linear element for static and free vibration analyses of curved beams, Comput Struct, 68, 473, 10.1016/S0045-7949(98)00091-1
Raveendranath, 2000, Application of coupled polynomial displacement fields to laminated beam elements, Comput Struct, 72, 661, 10.1016/S0045-7949(00)00054-7
Laura, 1987, In-plane vibrations of elastically cantilevered circular arc with a tip mass, J Sound Vib, 115, 437, 10.1016/0022-460X(87)90288-4
Rossi, 1989, In-plane vibrations of cantilevered non-circular arcs of non-uniform cross-section with a tip mass, J Sound Vib, 129, 201, 10.1016/0022-460X(89)90578-6
Matsunaga, 1996, In-plane vibration and stability of shallow circular arches subjected to axial forces, Int J Solids Struct, 33, 469, 10.1016/0020-7683(95)00050-K
Matsunaga, 2003, Interlaminar stress analysis of laminated composite and sandwich circular arches subjected to thermal/mechanical loading, Compos Struct, 60, 345, 10.1016/S0263-8223(02)00340-9
Tseng, 1997, Dynamic stiffness analysis for in-plane vibration of arches with variable curvature, J Sound Vib, 207, 15, 10.1006/jsvi.1997.1112
Tseng, 2000, In-plane vibration of laminated curved beams with variable curvature by dynamic stiffness analysis, Compos Struct, 50, 103, 10.1016/S0263-8223(00)00003-9
Nieh, 2003, An analytical solution for in-plane free vibration and stability of loaded elliptic arches, Comput Struct, 81, 1311, 10.1016/S0045-7949(03)00057-9
Romanelli, 1972, Fundamental frequencies of non-circular, elastic, hinged arcs, J Sound Vib, 24, 17, 10.1016/0022-460X(72)90118-6
Wang, 1973, Lowest natural extensional frequency of clamped elliptic arcs, J Sound Vib, 30, 1, 10.1016/S0022-460X(73)80046-X
Qatu, 1992, In plane vibration of slightly curved laminated composite beams, J Sound Vib, 159, 327, 10.1016/0022-460X(92)90039-Z
Qatu, 1993, Theories and analyses of thin and moderately thick laminated composite curved beams, Int J Solids Struct, 30, 2743, 10.1016/0020-7683(93)90152-W
Timoshenko, 1985
Timoshenko, 1985
Simitses, 1976
Langhaar, 1962
Morley, 1961, Elastic waves in naturally curved rod, Quart J Mech Appl Math, 14, 155, 10.1093/qjmam/14.2.155
Huang, 1996, An accurate solution for the in-plane transient response of a circular arch, J Sound Vib, 196, 595, 10.1006/jsvi.1996.0504
Tüfekçı¨, 1998, Exact solution of in-plane vibrations of circular arches with account taken of axial extension, transverse shear and rotary inertia effects, J Sound Vib, 209, 845, 10.1006/jsvi.1997.1290
Skvortsov, 1997, Overall behavior of shallow singly-curved sandwich panels, Compos Struct, 37, 65, 10.1016/S0263-8223(97)80004-9
Lin KC. The general solutions of 2D curved beams of variable curvatures. Int J Mech Sci; submitted.
Vinson, 1986