精密谐波传动系统的动态模型研究

Study of a New Dynamic Model for HarmonicDrive in Precision Control System

  • 摘要: 提出了精密控制系统中谐波齿轮传动的新的数学模型,该模型综合研究了摩擦和传动挠性的影响。模型用函数描绘了谐波传动的特性,分析了谐波传动中电机一侧和载荷一侧的摩擦力,将复杂的非线性摩擦力表述为位置和速度的函数,摩擦力中的平均摩擦用二次函数表示,周期性变化的部分用傅里叶级数描述,试验数据和仿真结果的一致性证明了该模型的有效性。

     

    Abstract: A mathematical model of precise harmonic drives transmission system including the effects offriction and transmission flexibility is developed and identified experimentally. In our model, the characteristics ofthe harmonic transmission are expressed as a function, the frictions in both motor and load side are analysed,nonlinear friction is described as a function of position and velocity, the average friction is described by a secondorder polynomial, and the periodical part of friction is simulated by Fourier series. The consistency of simulationresults and experimental outcomes confirm the effectiveness of the proposed model.

     

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