In this study, the static displacement behaviour of a three-layer axisymmetric circular piezoelectric unimorph actuator subjected to voltage and uniform pressure loads for different mechanical and geometric properties of layers was investigated. The closed-analytical model of piezoelectric actuator based on the classical laminated thin plate theory was performed. Kirchhoff’s thin plate theory for the mathematical model in closed form of the actuator was utilized. The superposition of transverse and lateral deflections expressions was used to obtain the displacement equation of the piezoelectric actuator. Then, the analytical model solutions were compared by finite element model solutions. It was observed that the results obtained from analytical model and finite element analysis were sufficiently compatible with each other. The effects of nondimensional physical and mechanical properties on the static deflection performance of the piezoelectric actuator were discussed using the analytical model. According to the results obtained, the physical and mechanical properties of the actuator had significant effects on the actuator displacement. Therefore, the results obtained in this study can be used to optimize the performance of the circular piezoelectric actuator.

在这项研究中，研究了三层轴对称圆形压电单压电晶片致动器在不同层的机械和几何特性下承受电压和均匀压力载荷的静态位移行为。建立了基于经典叠层薄板理论的压电致动器闭合分析模型。利用了基尔霍夫的薄板理论，以致动器闭合形式建立了数学模型。横向和横向挠度表达式的叠加用于获得压电致动器的位移方程。然后，将解析模型解与有限元模型解进行比较。观察到，从分析模型和有限元分析获得的结果彼此充分兼容。使用解析模型讨论了无量纲的物理和机械性能对压电致动器的静态挠曲性能的影响。根据获得的结果，执行机构的物理和机械性能对执行机构的位移有重大影响。因此，本研究中获得的结果可用于优化圆形压电致动器的性能。