陀螺经纬仪灵敏部横向偏差的精度影响

为了提高陀螺经纬仪寻北精度,基于光电积分法测量原理,建立了横向偏差对陀螺寻北精度影响的数学模型,并进行了仿真分析。首先,采用欧拉动力学方程分别建立了横向偏差对陀螺进动和漂移的影响模型;然后,基于光电积分法测量原理分别分析了横向偏差对摆动中心和零位改正角的影响;最后,进行了仿真实验。仿真结果表明,悬带扭力零位对应的方位角和横向偏差越大,精度受到的影响越大。因此,尽量提高加工精度且减小扭力零位对应的方位角和建立合理的补偿机制是减小系统误差对寻北精度影响的有效途径。

Influence of lateral deviation on north finding accuracy of the gyrotheodolite

In order to improve the north finding accuracy of gyrotheodolite, based on the principle of photoelectric integration, a mathematical model of influence of lateral deviation on north-finding accuracy is established, and simulation experiments are accomplished. Firstly, with the Euler’s dynamic equation the influence models of lateral deviation on gyroscopic precession and drifting respectively are established. Then, the influence of lateral deviation on the swing center and the zero position correction angle is analyzed respectively according to the principle of photoelectric integration. Finally, simulation experiments are conducted. Simulation results indicate that the larger the orientation angle corresponding with torsion zero of the suspension tape and the lateral deviation, the greater the influence on north-finding accuracy. Therefore, maximizing technology accuracy as well as minimizing the orientation angle and establishing the compensation mechanisms can effectively reduce the influence of system error on north-finding accuracy.