Exact solution of driving displacement for a partial PMP composite actuator and structural optimization
摘要
Leveraging the inverse piezoelectric effect, piezoelectric materials are widely utilized as actuator for precisely driving displacement. This paper presents a theoretical model of a piezoelectric laminated beam, focusing on the partial piezoelectric-metal-piezoelectric composite structure as an actuator, where the piezoelectric material is partially distributed on the metal base. Based on the classical beam theory, the structure is analyzed in segments along the beam length, and the continuity and symmetry conditions are applied. The exact solution of the driving displacement is derived, revealing the nonlinear relationship between the driving displacement and piezoelectric beam size. Numerical analysis of theoretical models with varying dimensions is conducted. The optimal dimensional parameters are obtained for the maximum driving displacement in a finite space. It is expected that the exact solution can be used to guide the design of piezoelectric actuators.