径向质量偏心的自由转子陀螺的漂移运动  

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

作　　者：刘延柱[1] 薛纭[2] 

机构地区：[1]上海交通大学工程力学系,上海200030 [2]上海应用技术学院机械工程系,上海200233

出　　处：《应用数学和力学》2004年第7期718-722,共5页Applied Mathematics and Mechanics

基　　金：上海市科技发展基金资助项目(98JC14032)

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。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.

关 键 词：刚体动力学 陀螺漂移 平均法 

分 类 号：O313.3[理学—一般力学与力学基础]