杯形波动陀螺的振动仿真分析和试验

Vibration Simulation Analysis and Experimental Research of Cupped Wave Gyroscope Resonator

针对一种基于压电激励方式的杯形波动陀螺谐振子,进行理论分析并采用有限元软件,得到了谐振子在工作模态下的轴向与周向振幅分布特性,通过给出挠度函数重点分析了谐振子的径向振幅计算问题;最后对25 mm的杯形波动陀螺谐振子样机进行了试验验证。研究结果表明将谐振子沿轴向的振幅变化作线性处理是合适的,由仿真分析引出的幅值计算函数适用于实际情况分析,同时也为杯形波动陀螺谐振子的参数化建模及结构优化设计提供了依据。

For a set of cupped wave gyroscope resonator based on piezoelectric excitation,the axial and circumferential amplitude distribution of the resonator was obtained by theory analysis and finite element method.Deflection function in the flexible boundary conditions was given and prediction of the radial vibration amplitude was studied.Finally,the prototype of the 25 mm cupped wave gyroscope resonator was tested and verified.It showed that to adopte the linear processing for the varible axial amplitude of the resonator was feasible.The function for computing the amplitude value is developed in simulation analysis and it was conformed to the actual situation.Meanwhile this paper provides a basis for parameterized modeling and structural optimization.