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Drift motion of free-rotor gyroscope with radial mass-unbalance

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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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Authors and Affiliations

  1. Department of Engineering Mechanics, Shanghai Jiaotong University, 200030, Shanghai, P. R. China

    Liu Yan-zhu

  2. Department of Mechanical Engineering, Shanghai Institute of Technology, 200233, Shanghai, P. R. China

    Xue Yun

Authors
  1. Liu Yan-zhu
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  2. Xue Yun
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Additional information

Communicated by CHEN Chang-jun

Foundation item: the Shanghai Municipal Development Foundation of Science and Technology of China (98JC14032)

Biographies: LIU Yan-zhu (1936 ∼), Professor

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Yan-zhu, L., Yun, X. Drift motion of free-rotor gyroscope with radial mass-unbalance. Appl Math Mech 25, 786–791 (2004). https://doi.org/10.1007/BF02437570

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  • DOI: https://doi.org/10.1007/BF02437570

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2000 Mathematics Subject Classification

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