电压激励的压电层合悬臂梁横向振动分析

摘要

以压电陶瓷-金属-压电陶瓷对称层合结构为研究对象，基于能量法得到了等截面压电层合对称悬臂梁在横向激振电压下的强迫振动微分方程。用ANSYS软件对建立的相关有限元模型进行模态分析、谐响应分析及瞬态动力学分析，仿真结果与理论值基本吻合，验证了理论的正确性。进一步分析了阻尼对横向位移响应的影响，讨论了速度、加速度随时间的变化规律，分析了压电悬臂梁的最大应力出现位置及最大应力值随时间的关系。所得结论可为压电振子的设计和分析提供必要理论参考。%Taking the piezoelectric ceramic-metal-piezoelectric ceramic symmetric laminated structure as research object,the forced vibration differential equation of a piezoelectric laminated symmetrical cantilever beam under transverse excitation voltage was built based on the energy method.A finite element model was established,and the modal,harmonic response and transient dynamic response of the beam were analyzed by using ANSYS software.The simulation results agree well with the theoretical values,which verifies the validity of the theory.Furthermore,the influence of damping on the transverse displacement response was analyzed,and the variations of velocity and acceleration with time were discussed. The location of the maximum stress of the piezoelectric cantilever beam and the characteristics of the maximum stress with time were analyzed.The conclusion can provide necessary theoretical reference for the design and analysis of piezoelectric vibrators.