由基本的动力学关系建立了用钢带轮传动反射镜的陀螺稳定平台的控制回路数学模型。讨论了弹性效应的特性并给出了一个相应的稳定性判据。指出反射镜的角振动频率是限制平台动刚度提高的一个障碍,并提出了提高稳定精度的设计措施。此结果已得到了成功的工程应用。 The mathematical model of the control loop of the gyro stabilized platform with steel belt driven mirror is established by the basic dynamic relationship. The characteristics of elastic effect are discussed and a corresponding stability criterion is given. It is pointed out that the angular vibration frequency of the mirror is an obstacle to limit the dynamic stiffness of the platform and the design measures to improve the stability are proposed. This result has been successfully applied in engineering.