基于三维弹性理论和压电理论，导出了有限长矩形压电层合简支板的动力学方程及相应的边界条件，给出了一种求解压电层合板自由振动三维精确解的方法；分析了正、逆向压电效应对层合板振动频率的影响．本文所述的方法和结果对于求解其他三维动态问题，验证、比较其他简化模型、有限元计算结果以及工程应用都有指导意义． Based on the three-dimensional elastic theory and the piezoelectric theory, the dynamic equations and the corresponding boundary conditions of the finite length rectangular piezoelectric laminated simply supported plate are deduced. A method for solving the three-dimensional accurate solution of the free vibration of the piezoelectric laminated plate is given. The effect of positive and negative piezoelectric effect on the vibration frequency of laminate. The methods and results described in this paper are instructive for solving other three-dimensional dynamic problems, validating and comparing with other simplified models, finite element calculation results and engineering applications.