LIU Yan-zhu, XUE Yun. Drift Motion of Free-Rotor Gyroscope With Radial Mass-Unbalance[J]. Applied Mathematics and Mechanics, 2004, 25(7): 718-722.
Citation: LIU Yan-zhu, XUE Yun. Drift Motion of Free-Rotor Gyroscope With Radial Mass-Unbalance[J]. Applied Mathematics and Mechanics, 2004, 25(7): 718-722.

Drift Motion of Free-Rotor Gyroscope With Radial Mass-Unbalance

  • Received Date: 2002-05-09
  • Rev Recd Date: 2004-03-30
  • Publish Date: 2004-07-15
  • 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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