• 论文 •

### 半球型动压气浮轴承陀螺仪的静态误差模型

1. 大连理工大学 机械工程学院, 大连 116024
• 收稿日期:2017-09-11 修回日期:2017-11-03 出版日期:2018-08-20 发布日期:2018-08-29
• 通讯作者: 段富海 E-mail:duanfh@dlut.edu.cn
• 作者简介:李岩,男,博士研究生。主要研究方向:润滑数值计算;段富海,男,博士,教授,博士生导师。主要研究方向:导航、制导与控制。
• 基金资助:
航空科学基金（20150863003）

### Static error model of a gyroscope with gas-dynamic hemispherical bearings

LI Yan, DUAN Fuhai

1. School of Mechanical Engineering, Dalian University of Technology, Dalian 116024, China
• Received:2017-09-11 Revised:2017-11-03 Online:2018-08-20 Published:2018-08-29
• Supported by:
Aeronautical Science Foundation of China (20150863003)

Abstract: In order to investigate the influence of deformation of gas film in gas-dynamic hemispherical bearings on the output of three-floated gyroscopes in the platform initial navigation system subject to 3-DOF specific forces, a mathematical model is established to calculate the static error by solving Reynolds equation. Firstl, Reynolds equation is modified to describe gas flow in hemispherical bearings considering the effect of gas rarefaction. Secondl, it is solved by finite difference method to obtain the pressure distribution, and the relationship between load and rotor displacement is used to calculate the gyroscope error. Finally, by regression analysis, a static error model of the gyroscope with gas-dynamic hemispherical bearings is obtained. To simplify the ternary regression analysis to binary regression analysis, the circumferential angle between interference torque and specific force, and the radial interference torque are introduced as intermediate parameters. Numerical results show that the radial interference torque increases with the increase of axial specific force. With the increase of radial specific force, the radial interference torque increases when the radial specific force is small, and decreases when the interference torque is large. Interference torque is 1.35-1.55 rad ahead of specific force in radial direction. The proposed static error model can predict the gyroscope static error caused by rotor displacement with any specific force below 300 m/s2.