轴对称多曲面融合结构金属谐振子模型建立方法

金属壳固体波动陀螺是基于固体波的进动效应进行角速度检测的一种全新 轴对称壳振动陀螺，具有结构简单、功耗低、抗冲击性强、稳定性高等优点，可广泛应 用于中低精度角速度测量领域。为分析轴对称多曲面融合结构金属谐振子中固体波的进 动效应，在双曲率坐标系下，基于薄壳理论，建立了理想条件下轴对称多曲面融合结构 金属谐振子中固体波进动的动力学模型。针对动力学模型过于复杂、难于分析的缺陷， 提出了利用弹性力学中的能量原理，建立轴对称多曲面融合结构金属谐振子等效模型的 方法，为金属壳固体波动陀螺的信号检测方法和控制回路设计奠定了理论依据。

Approach for Modeling Axisymmetric Surface Fusion Structure Metal Resonator

The metal shell solid vibratory gyro (SVG) is a novel axisymmetric shell vibratory gyroscope which not only has the advantage of low cost, low power, long work life, high sensitivity, but also the simple structure and good anti- impact performance for low and medium angular velocity measurements. For building dynamic equation of axisymmetric metal surface fusion structure resonator in the orthogonal curvilinear coordinate system, it uses shell theory to analyze the precession effect. Because the dynamic equation is very complex and difficult to analyze, it presents the equivalent dynamic equation based on principle of energy. This provides a basis for deeply designing control loops and process signal.