Bifurcation, chaotic dynamics and control of piezoelectric laminated composite beam

The paper investigated the nonlinear dynamics, bifurcation and chaoticdynamics of simply supported laminated piezoelectric composite beam withaxial and transverse loading. The nonlinear equations of motions of the beamare first derived based on the general von Karman-type equations and theReddy third-order shear deformation plate theory. The partial differentialequations are discretized to the ordinary differential equations using theGalerkin approach. The averaged equations are obtained with the method ofmultiple scales. Numerical simulation is carried out to investigate theperiodic and chaotic motions of the beam. The results show that the chaoticresponses of the beam are sensitive to the piezoelectric excitations.Furthermore, the oscillation of the piezoelectric laminated composite beamcan be controlled with the piezoelectric excitation.