| Citation: | LI Yan, DUAN Fuhai. Static error model of a gyroscope with gas-dynamic hemispherical bearings[J]. Journal of Beijing University of Aeronautics and Astronautics, 2018, 44(8): 1705-1711. doi: 10.13700/j.bh.1001-5965.2017.0570(in Chinese)
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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.
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