机器人肩关节的动力学建模及伺服电机峰值预估

    Dynamic modeling and peak prediction of servo motor for shoulder joint of robot

    • 摘要: 为了增加机器人肩关节的工作空间和承载能力,提出一种基于三自由度正交球面并联机构的机器人肩关节。首先,采用第二类拉格朗日方程方法建立了肩关节的动力学模型,推导了肩关节的惯性矩、哥氏力-离心力和重力项的表达式。在肩关节动力学模型的基础上,建立了肩关节伺服电机峰值预估模型。其次,通过给定的动平台运动轨迹,分析了肩关节伺服电机驱动的角速度、驱动力矩的变化规律,得到了肩关节的动力学特性;并对肩关节伺服电机峰值预估模型进行了验证,得到了最大预估峰值力矩值为4.27 N·m。分析结果表明,肩关节构件的驱动角速度和驱动力矩呈周期性变化。伺服电机峰值预估模型为肩关节伺服电机的选型提供了理论依据。

       

      Abstract: In order to increase the workspace and the carrying capacity of robot shoulder joint, a robot shoulder joint was proposed, which based on three degrees of freedom orthogonal spherical parallel mechanism. In the article, the dynamics model of the shoulder joint was established using the second lagrange method. After derivation, expressions of inertia moment, coriolis force-centrifugal force, and gravity were obtained. Based on the above dynamic model, the peak prediction model of servo motor for the shoulder joint was defined. Further more, by the trajectory of the moving platform, the change regularity was analyzed that caused by the shoulder joint servo motor driven angular velocity and driving torque, and received dynamics of shoulder joint. Then, the peak prediction model of servo motor for the shoulder joint was validated, and obtained that maximum estimated peak torque was 4.27 N·m. The results show that the angular shoulder and drive torque of shoulder display periodic variation. The peak prediction model of servo motor can provide theoretical base for the servo motor selection of the shoulder joint.

       

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