This paper researched the synchronous characteristic of three homodromy motors in a secondary isolation system. Firstly, the motion differential equations of the system were established via employing Lagrange’s equation. The Laplace transform was used to deduce approximate solutions of displacement. Next, the ability of vibrating isolation was determined through amplitude ratio. Secondly, the synchronous condition and steady criterion was obtained via employing the average small parameters method and Lyapunov criterion. And then the influence of structural parameters of the system on synchronous ability was analyzed. Moreover, the synchronous characteristics of the system, including the difference of residual torque among induction motors, the synchronous ability, the output torque of motors and the stable phase difference, were discussed through numerical analyses. Finally, the accuracy of theoretical analyses was proved through computer simulation results. It is shown that, the ability of vibrating isolation is principally impacted by vertical spring stiffness; the greater the installation distance among three motors, the easier to achieve synchronous motion of the rotors; meanwhile, the output torque of asynchronous motors is affected by the synchronous state of the vibrating system; the synchronous characteristic is mainly affected by the mounting dip angle of motors and the installation distance among motors. The research results can promote development of vibration engineering and related fields.

本文研究了次级隔离系统中三个同向电动机的同步特性。首先，利用拉格朗日方程建立了系统的运动微分方程。拉普拉斯变换用于推导位移的近似解。接下来，通过振幅比确定振动隔离的能力。其次，采用平均小参数法和李雅普诺夫准则，求出同步条件和稳态准则。然后分析了系统结构参数对同步能力的影响。此外，系统的同步特性包括感应电动机之间的剩余转矩差异，同步能力，电动机的输出转矩以及稳定的相位差，通过数值分析进行了讨论。最后，通过计算机仿真结果证明了理论分析的准确性。结果表明，隔振能力主要受竖向弹簧刚度的影响。三台电机之间的安装距离越大，转子的同步运动就越容易；同时，异步电动机的输出转矩受振动系统同步状态的影响。同步特性主要受电机安装倾角和电机间安装距离的影响。研究成果可以促进振动工程及相关领域的发展。隔振的能力主要受垂直弹簧刚度的影响；三台电机之间的安装距离越大，转子的同步运动就越容易；同时，异步电动机的输出转矩受振动系统同步状态的影响。同步特性主要受电机安装倾角和电机间安装距离的影响。研究成果可以促进振动工程及相关领域的发展。隔振的能力主要受垂直弹簧刚度的影响；三台电机之间的安装距离越大，转子的同步运动就越容易；同时，异步电动机的输出转矩受振动系统同步状态的影响。同步特性主要受电机安装倾角和电机间安装距离的影响。研究成果可以促进振动工程及相关领域的发展。同步特性主要受电机安装倾角和电机间安装距离的影响。研究成果可以促进振动工程及相关领域的发展。同步特性主要受电机安装倾角和电机间安装距离的影响。研究成果可以促进振动工程及相关领域的发展。