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Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (7): 786-791.

• 论文 • 上一篇    下一篇

DRIFT MOTION OF FREE-ROTOR GYROSCOPE WITH RADIAL MASS-UNBALANCE

刘延柱1, 薛纭2   

  1. 1. Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200030, P. R. China;
    2. Department of Mechanical Engineering, Shanghai Institute of Technology, Shanghai 200233, P. R. China
  • 收稿日期:2002-05-09 修回日期:2004-03-30 出版日期:2004-07-18 发布日期:2004-07-18
  • 基金资助:

    the Shanghai M unicipal Development Foundation of Science and Technology of China (98JC14032)

DRIFT MOTION OF FREE-ROTOR GYROSCOPE WITH RADIAL MASS-UNBALANCE

LIU Yan-zhu1, XUE Yun 2   

  1. 1. Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200030, P. R. China;
    2. Department of Mechanical Engineering, Shanghai Institute of Technology, Shanghai 200233, P. R. China
  • Received:2002-05-09 Revised:2004-03-30 Online:2004-07-18 Published:2004-07-18
  • Supported by:

    the Shanghai M unicipal Development Foundation of Science and Technology of China (98JC14032)

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摘要： The motion of a rigid body about fixed point with small radial mass-unbalance in homogeneous gravitational field was discussed. The dynamical equations described by state variables of the body were established, and approximate analytical solutions for a spinning body with high speed were obtained by use of the average method. The influence of the radial mass-unbalance of the rotor to the precession character of a free-rotor gyroscope was analyzed. And a physical explanation of the drift phenomenon of the gyro was given. An applicable formula of gyro's constant drift in analytical form was obtained, which is perfectly coincident with the numerical calculation.

Abstract: The motion of a rigid body about fixed point with small radial mass-unbalance in homogeneous gravitational field was discussed. The dynamical equations described by state variables of the body were established, and approximate analytical solutions for a spinning body with high speed were obtained by use of the average method. The influence of the radial mass-unbalance of the rotor to the precession character of a free-rotor gyroscope was analyzed. And a physical explanation of the drift phenomenon of the gyro was given. An applicable formula of gyro's constant drift in analytical form was obtained, which is perfectly coincident with the numerical calculation.

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