Nonlinear dynamic stability for piezoelectric laminated plates with damage

On the basis of the anisotropic damage theory andpiezoelectric theory, the nonlinear governing equations for piezoelectricmoderately thick laminated plates with damage subjected to a parametricexcitation are derived through applying the energy principle and Lagrangeequation. Employing the incremental harmonic balance method, a solution forthe nonlinear dynamic stability of the piezoelectric moderately thicklaminated plates with damage is obtained. In the numerical examples, theinfluences of damage parameters and piezoelectricity on the nonlineardynamic stabilities are discussed andthe inherent features about the coupledmechanics and electricity are revealed. A comparison is made with available data.