梯形压电悬臂梁的力-电映射特性分析

Analysis on forceelectric mapping characteristics of trapezoidal piezoelectric cantilever beam

针对梯形压电悬臂梁的电学输出和力—电映射特性进行理论分析,根据得到的力—电映射特性曲线对压电振子进行结构优化,从而达到提高输出电压的目的。首先对梯形压电悬臂梁进行分布式参数建模,得到输出电压理论解并与有限元仿真结果对比验证。将梯形压电梁与矩形压电梁对比分析,结果表明:梯形压电梁更适合作为压电振子。进而分别探究了梯形压电悬臂梁的相关力学参数对输出电压的影响,得到了梯形压电梁的力—电映射关系,为梯形压电悬臂梁的优化设计提供了良好的理论基础。

The electrical output and force-electric mapping characteristics of the trapezoidal piezoelectric cantilever beam are theoretically analyzed.According to the obtained force-electric mapping characteristic curve,the structure of the piezoelectric vibrator is optimized,so as to improve the output voltage.Firstly,the distributed parameter modeling of trapezoidal piezoelectric cantilever beam is carried out,and the theory resolution of output voltage is obtained,and theoretical resolution are compared with the finite element simulation results and verified.The trapezoidal piezoelectric beam and rectangular piezoelectric beam are compared and analyzed.The results show that the trapezoidal piezoelectric beam is more suitable for piezoelectric vibrator.The effects of the mechanical parameters of the trapezoidal piezoelectric cantilever beam on output voltage are investigated respectively,and the force-electric mapping relationship of the trapezoidal piezoelectric beam is obtained,which provides a good theoretical basis for the optimization design of the trapezoidal piezoelectric cantilever beam.