应用欧拉动力学基本方程,对无驱动结构的硅微机械陀螺进行了理论分析,推导出陀螺在俯仰和偏航角速度同时存在情况下的动力学方程,建立了陀螺输出信号的数学模型。理论分析了陀螺输出信号的特点以及与俯仰、偏航角速度的关系。最后,通过实物仿真实验,验证了推导的正确性,为无驱动结构陀螺的应用提供了理论指导。
The dynamic function of non-driven micromechanical gyroscope is given by the analysis of its principle using the Euler equation,when both the pitching and yawing angular rate exit simultaneity.The mathematics model of the gyroscope's output signal is set up to analyse the relation between the angular rate(pictching and yawing) and output signal.At last,the model is validated with physical simulation.The investigation result is really significant to application research of micromechanical gyroscope.