• CN:11-2187/TH
  • ISSN:0577-6686

›› 2005, Vol. 41 ›› Issue (2): 92-96.

• 论文 • 上一篇    下一篇

静电球轴承的力模型及起支仿真研究

韩丰田;李冬梅;高钟毓;王永樑   

  1. 清华大学精密仪器与机械学系
  • 发布日期:2005-02-15

FORCE MODELING AND INITIAL LEVITATION SIMULATION OF ELECTROSTATIC BEARINGS SUPPORTING A SPHERICAL ROTOR

Han Fengtian;Li Dongmei;Gao Zhongyu;Wang Yongliang   

  1. Department of Precision Instruments and Mechanology, Tsinghua University
  • Published:2005-02-15

摘要: 针对工作于双边支承模式下的有源静电球轴承系统,导出了描述静电力非线性与耦合特性的幂次模型与近似模型,并根据静电力的数值解对两种模型的误差特性进行了比较与分析。分析表明,幂次模型与近似模型分别适于描述静电悬浮系统在支承与起支状态下的静电力特性。对实现静电轴承任意姿态起支的条件进行了分析,并根据导出的静电力近似模型,给出了不同姿态下的起支仿真结果。

关键词: 静电力, 静电轴承, 耦合非线性, 起支

Abstract: Two nonlinear and coupled models governing the electrostatic forces are described for a class of electrostatic bearings with a bias voltage in each electrode, followed by comparison of the derived force models with their numeric integration results. It is shown that the force model expressed by power series of the rotor displacements is accurate only for small motion range while the approximate model is applicable for initial levitation of the bearing with large range of the rotor motion. The necessary conditions for the initial levitation are also discussed to achieve a stable levitation of the rotor inside the electrode cavity in an arbitrary orientation. The simulation results for a three-axis suspended system in various orientations are presented based on the approximated force model.

Key words: Coupled nonlinearities, Electrostatic bearing, Electrostatic force, Initial levitation

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