半球谐振子薄壁厚度不均匀性对陀螺精度的影响

针对半球谐振陀螺仪的工艺制造偏差，研究半球谐振子薄壁厚度不均匀对陀螺精度的影响，建立误差模型，分析误差机理．首先对谐振子进行应变分析，然后分析薄壳微元的受力情况，根据力和力矩平衡方程建立半球谐振子动力学方程，得出由于厚度不均匀造成的半球谐振陀螺仪角速率误差．研究结果表明其傅立叶展开式的1～3次谐波项对角速率误差无影响，而4次谐波有影响．为提高陀螺精度，对陀螺厚度不均匀加以平衡．

Effect of Thickness Nonuniformity of Resonator on the HRG Accuracy

For the HRG's technology fabrication deviation,effect of the resonator's thickness nonuniformity on the gyro accuracy is studied.The error model is established and the error mechanism is analyzed.First,the strains of an arbitrary point on the resonator is analyzed,then a thin shell element is chosen to make a force analysis,the dynamics equation is established according to the force and torque equilibrium equation.According to the dynamics equation,the HRG error caused by the resonator's thickness nonunifor...