径向质量偏心的自由转子陀螺的漂移运动

基金项目: 上海市科技发展基金资助项目(98JC14032)

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

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

摘要: 讨论均匀重力场中具有微小径向质量偏心的刚体定点运动,建立用状态变量描述的刚体动力学方程．对于刚体高速自旋情形应用平均法求出其近似解析积分，用以分析径向质量偏心对自由转子陀螺进动特性的影响．对径向质量偏心引起陀螺漂移现象给出物理解释，并导出陀螺常值漂移的简明的解析公式，与数值计算结果符合．
- 刚体动力学 /
- 陀螺漂移 /
- 平均法
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.
- dynamics of rigid body /
- drift of gyroscope /
- average method

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