具损伤压电层合板的非线性动力稳定性分析

NONLINEAR DYNAMIC STABILITY FOR PIEZOELECTRIC LAMINATED PLATES WITH DAMAGE

基于各向异性损伤理论和压电理论,采用能量法和Lagrange方程,建立了具损伤压电智能层合中厚板在参数激励下的非线性运动控制方程,应用增量谐波平衡法,求解了具损伤压电智能层合中厚板的非线性动力稳定性问题．算例中,分析了损伤参数和压电效应对压电智能层合板非线性动力稳定性的影响,揭示了力电耦合效应的内在特征,并与有关文献的结果进行了比较．

On the basis equations for piezoelectric of the anisotropic damage theory and piezoelectric theory, the nonlinear governing moderately thick laminated plates with damage subjected to a parametric excitation are derived through applying the energy principle and Lagrange equation. Employing the incremental harmonic balance method, a solution for the nonlinear dynamic stability of the piezoelectric moderately thick laminated plates with damage is obtained. In the numerical examples, the influences of damage parameters and piezoelectricity on the nonlinear dynamic stabilities are discussed and the inherent features about the coupled mechanics and electricity are revealed. A comparison is made with available data.