Nonlinear oscillations and chaotic dynamics of an antisymmetric cross-ply laminated composite rectangular thin plate under parametric excitation

Ye, 2004, Nonlinear dynamic behavior of a parametrically excited rectangular symmetric cross-ply laminated composite plate, Acta Mechanica Sinica, 37, 64 M. Ye, J. Lu, Q. Ding, W. Zhang, Local and global nonlinear dynamics of a parametrically excited rectangular symmetric cross-ply laminated composite plate, submitted for publication. Bhimaraddi, 1993, Large amplitude vibrations of imperfect antisymmetric angle-ply laminated plates, Journal of Sound and Vibration, 162, 457, 10.1006/jsvi.1993.1133 Shih, 1993, Non-linear vibration analysis of arbitrarily laminated rectangular thin plates on elastic foundations, Journal of Sound and Vibration, 167, 433, 10.1006/jsvi.1993.1347 Chandiramani, 1996, Flutter of geometrically imperfect shear-deformable laminated flat panels using non-linear aerodynamics, Journal of Sound and Vibration, 192, 79, 10.1006/jsvi.1996.0177 Oh, 1996, Nonlinear resonances in cantilever composite plates, Nonlinear Dynamics, 11, 143, 10.1007/BF00044999 Abe, 1998, Two-mode response of simply supported, rectangular laminated plates, International Journal of Non-linear Mechanics, 33, 675, 10.1016/S0020-7462(97)00043-7 Ribeiro, 1999, Multi-modal geometrical non-linear free vibration of fully clamped composite laminated plates, Journal of Sound and Vibration, 225, 127, 10.1006/jsvi.1999.2230 Ganapathi, 1999, Non-linear dynamic stability analysis of composite laminated under periodic in-plane compressive loads, International Journal for Numerical Methods in Engineering, 46, 943, 10.1002/(SICI)1097-0207(19991030)46:6<943::AID-NME732>3.0.CO;2-L Ganapathi, 2000, Non-linear dynamic stability characteristics of elastic plates subjected periodic in-plane load, International Journal of Non-Linear Mechanics, 35, 467, 10.1016/S0020-7462(99)00034-7 Harras, 2002, Geometrically non-linear free vibration of fully clamped symmetrically laminated rectangular composite plates, Journal of Sound and Vibration, 251, 579, 10.1006/jsvi.2001.3713 Tanriover, 2004, Large deflection analysis of unsymmetrically laminated composite plates, International Journal of Non-Linear Mechanics, 39, 1385, 10.1016/j.ijnonlinmec.2004.01.001 Hadian, 1990, Modal interaction in circular plates, Journal of Sound and Vibration, 142, 279, 10.1016/0022-460X(90)90557-G Feng, 1993, Global bifurcations in the motion of parametrically excited thin plate, Nonlinear Dynamics, 4, 389, 10.1007/BF00120673 Chang, 1993, Non-linear vibrations and chaos in harmonically excited rectangular plates with one-to-one internal resonance, Nonlinear Dynamics, 4, 433, 10.1007/BF00053690 Sassi, 1994, Effects of initial geometric imperfections on the interaction between forced and parametric vibrations, Journal of Sound and Vibration, 178, 41, 10.1006/jsvi.1994.1466 Malhotra, 1997, Chaotic dynamics of shallow arch structures under 1:1 internal resonance, ASCE Journal of Engineering Mechanics, 123, 620, 10.1061/(ASCE)0733-9399(1997)123:6(620) Popov, 1998, Bifurcation analyses in the parametrically excited vibrations of cylindrical panels, Nonlinear Dynamics, 17, 205, 10.1023/A:1008396603655 Anlas, 1998, Nonlinear vibrations of a simply supported rectangular metallic plate subjected to transverse harmonic excitation in presence of a one-to-one internal resonance, Nonlinear Dynamics, 30, 1, 10.1023/A:1020362725706 Zhang, 2001, Global and chaotic dynamics for a parametrically excited thin plate, Journal of Sound and Vibration, 239, 1013, 10.1006/jsvi.2000.3182 Bogoliubov, 1961 Nayfeh, 1979 Nayfeh, 1994 Maccari, 1998, Approximate solution of a class of nonlinear oscillators in resonance with a periodic excitation, Nonlinear Dynamics, 15, 329, 10.1023/A:1008235820302 Maccari, 1998, Dissipative bidimensional systems and resonant excitation, International Journal of Non-Linear Mechanics, 33, 713, 10.1016/S0020-7462(97)00045-0 Maccari, 1999, The asymptotic perturbation method for nonlinear continuous systems, Nonlinear Dynamics, 19, 1, 10.1023/A:1008304701252 Maccari, 2000, Modulated motion and infinite-period homoclinic bifurcation for parametrically excited Lienard systems, International Journal of Non-Linear Mechanics, 35, 239, 10.1016/S0020-7462(99)00012-8 Maccari, 2001, Multiple resonant or non-resonant parametric excitations for nonlinear oscillators, Journal of Sound and Vibration, 37, 855, 10.1006/jsvi.2000.3386 Lim, 2003, On canonical bending relationships for plates, International Journal of Solids and Structures, 40, 3039, 10.1016/S0020-7683(03)00084-2 Chia, 1980 Reddy, 1997 Jones, 1999 Ye, 2001 Nusse, 1997