两机分别驱动两质体的振动同步理论

Vibratory synchronization theory of dual-mass driven by two motors respectively

针对两机分别驱动两质体振动系统,本文建立振动模型,研究该系统在竖直方向的两机振动同步理论。采用拉格朗日方程和小参数平均法推导系统的运动微分方程和无量纲耦合方程。基于无量纲耦合方程零解的存在条件,推导出实现振动同步运动的条件,并利用Routh-Hurwitz判据确定振动同步运动的稳定条件。通过数值分析得到振动同步运动能够稳定运行的最佳参数区间,证明两机两质体振动系统的同步性和稳定性。仿真实验验证了数值分析的正确性。

For the dual-mass with two motors vibrating system,the vibration model is established in this paper,and the vibration synchronization theory of the system in the vertical direction is studied.The differential equations and the dimensionless coupling equations of the vibrating system are derived by using Lagrange equation and the averaging method with small parameters.Based on the existence condition of the zero solution of the dimensionless coupling equation,the conditions for realizing the synchronous motion of the vibration are derived,and the stability condition of the synchronous motion of the vibration is determined by using the Routh-Hurwitz criterion.By numerical analysis,the optimal parameter interval of stable operation of the vibration synchronous motion is obtained,and the synchronization and stability of the dual-mass with two motors vibrating system are proved.Simulation experiments verify the correctness of the numerical analysis.