Article

Multi-pulse chaotic dynamics of non-autonomous nonlinear system for a laminated composite piezoelectric rectangular plate

Acta Mechanica (impact factor: 1.29). 04/2012; 211(1):23-47. DOI:10.1007/s00707-009-0210-3 pp.23-47

ABSTRACT The global bifurcations and multi-pulse chaotic dynamics of a simply supported laminated composite piezoelectric rectangular
thin plate under combined parametric and transverse excitations are investigated in this paper for the first time. The formulas
of the laminated composite piezoelectric rectangular plate are derived by using the von Karman-type equation, the Reddy’s
third-order shear deformation plate theory and the Galerkin’s approach. The extended Melnikov method is improved to enable
us to analyze directly the non-autonomous nonlinear dynamical system, which is applied to the non-autonomous governing equations
of motion for the laminated composite piezoelectric rectangular thin plate. The results obtained here indicate that multi-pulse
chaotic motions can occur in the laminated composite piezoelectric rectangular thin plate. Numerical simulation is also employed
to find the multi-pulse chaotic motions of the laminated composite piezoelectric rectangular thin plate.

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Keywords

formulas
 
global bifurcations
 
laminated composite piezoelectric rectangular plate
 
laminated composite piezoelectric rectangular thin plate
 
multi-pulse chaotic dynamics
 
multi-pulse chaotic motions
 
non-autonomous
 
non-autonomous nonlinear dynamical system
 
Numerical simulation
 

Wei Zhang