Bifurcation, Chaotic dynamics and control of Laminated Composite Piezoelectric Plate
The bifurcations and chaotic motions of a simply supported symmetric cross-ply composite laminated piezoelectric rectangular plate are analyzed, which are forced by the transverse and in-plane excitations. Based on the Reddys third-order shear deformation plate theory, the nonlinear governing equations of motion for the composite laminated piezoelectric rectangular plate are derived by using the Hamiltons principle. The excitation loaded by piezoelectric layers is considered. The Galerkins approach is employed to discretize partial differential governing equations to a two-degree-of-freedom nonlinear system under combined the parametric and external excitations. The method of multiple scales is utilized to obtain the four-dimensional averaged equation. Numerical method is used to find the periodic and chaotic motions of the composite laminated piezoelectric rectangular plate. The numerical results show the existence of the periodic and chaotic motions in the averaged equation. It is found that the chaotic responses are especially sensitive to the forcing and the parametric excitations. The influence of the transverse, inplane and piezoelectric excitations on the bifurcations and chaotic behaviors of the composite laminated piezoelectric rectangular plate is investigated numerically.
Composite piezoelectric rectangular plates Bifurcation control Chaotic motions
Z.G.Yao W.Zhang X.L.Yang L.H.Chen
College of Mechanical Engineering, Beijing University of Technology, Beijing 100124 PRChina College of Mechanical Engineering, Beijing University of Technology, Beijing 100124 PR China
国际会议
北京
英文
1-5
2008-10-23（万方平台首次上网日期，不代表论文的发表时间）