Vibration of angle-ply laminated plates with twist by Rayleigh–Ritz procedure

X.X. Hu1, T. Sakiyama2, C.W. Lim3, Y. Xiong2, H. Matsuda2, C. Morita2
1College of Mechanical Engineering, Zhejiang University of Technology, No. 6 District, Zhaohui Xincun, Hangzhou, Zhejiang 310032, PR China
2Department of Structural Engineering, Faculty of Engineering, Nagasaki University, 1-14 Bunkyomachi, Nagasaki 852-8521, Japan
3Department of Building and Construction, City University of Hong Kong, Tat Chee Avenue, Hong Kong

Tài liệu tham khảo

Noor, 1989, Assessment of shear deformation theories for multilayered composite plate, Appl. Mech. Rev., 42, 1, 10.1115/1.3152418 Noor, 1990, Assessment of computational models for multilayered anisotropic plates, Compos. Struct., 14, 233, 10.1016/0263-8223(90)90050-O Reddy, 1989, On the generalization of displacement-based laminate theories, Appl. Mech. Rev. Part 2, 42, S213, 10.1115/1.3152393 Reddy, 1990, A review of refined theories of laminated composite plates, Shock Vibrat. Dig., 22, 3, 10.1177/058310249002200703 Reddy, 1993, An evaluation of equivalent-single-layer and layerwise theories of composite laminates, Compos. Struct., 25, 21, 10.1016/0263-8223(93)90147-I Reddy, 1994, Theories and computational models for composite laminates, Appl. Mech. Rev., 47, 147, 10.1115/1.3111076 Kant, 2001, Analytical solutions for free vibration of laminated composite and sandwich plates based on a high-order refined theory, Compos. Struct., 53, 73, 10.1016/S0263-8223(00)00180-X Ganapathi, 2001, Free vibration analysis of multi-layered composite laminated based on an accurate higher-order theory, Composites Part B: Engrg., 32, 535, 10.1016/S1359-8368(01)00028-2 Ali, 1999, A new theory for accurate thermal/mechanical flexural analysis of symmetric laminated plates, Compos. Struct., 45, 227, 10.1016/S0263-8223(99)00028-8 Ugrimov, 2002, Generalized theory of multilayer plates, Int. J. Solids Struct., 39, 819, 10.1016/S0020-7683(01)00253-0 Piskunov, 2001, Rational transverse shear deformation higher-order theory of anisotropic laminated plates and shells, Int. J. Solids Struct., 38, 6491, 10.1016/S0020-7683(01)00041-5 Khdeir, 1999, Free vibration of laminated composite plates using second-order shear deformation theory, Comput. Struct., 71, 617, 10.1016/S0045-7949(98)00301-0 Afshari, 2000, Free vibration analysis of composite plates, Trans. ASME, J. Pressure Vessel Technol., 122, 390, 10.1115/1.556198 Liew, 1996, Solving the vibration of thick symmetric laminates by Reissner/Mindlin plate theory and the p-Ritz method, J. Sound Vibrat., 198, 343, 10.1006/jsvi.1996.0574 Qatu, 1991, Vibration studies for laminated composite twisted cantilever plates, Int. J. Mech. Sci., 33, 927, 10.1016/0020-7403(91)90012-R Bhumbla, 1996, Behavior of spinning pretwisted composite plates using a nonlinear finite element approach, AIAA J., 34, 1686, 10.2514/3.13290 Tsuiji, 1986, Free vibration of pre-twisted plates (Fundamental theory), Trans. JSME, 52, 3042, 10.1299/kikaic.52.3042 Tsuiji, 1996, Free vibration analysis for composite laminated twisted cantilever thin plates, Trans. JSME, 62, 3901, 10.1299/kikaic.62.3901 Chakraverty, 1999, Recent research on vibration of structures using boundary characteristic orthogonal polynomials in the Rayleigh–Ritz method, Shock Vibrat. Dig., 31, 187, 10.1177/058310249903100301 Bhat, 1985, Natural frequencies of rectangular plates using characteristic orthogonal polynomials in Rayleigh-Rite method, J. Sound Vibrat., 102, 493, 10.1016/S0022-460X(85)80109-7