噪声与振动控制 ›› 2014, Vol. 34 ›› Issue (6): 7-11.DOI: 10.3969/j.issn.1006-1335.2014.06.002

• 2.振动理论与数值解法 • 上一篇    下一篇

柔性机械臂建模及动力学特性研究

刘旭亮,黄玉平,崔佩娟,徐帧祥   

  1. ( 中国航天科技集团公司  第一研究院  十八所,  北京  100076 )
  • 收稿日期:2014-04-08 修回日期:2014-04-24 出版日期:2014-12-18 发布日期:2014-12-18
  • 通讯作者: 刘旭亮

Modeling and Dynamic Characteristic Analysis of  Flexible Robotic Arm

  • Received:2014-04-08 Revised:2014-04-24 Online:2014-12-18 Published:2014-12-18

摘要:

以仿人手臂的三旋转关节刚柔耦合机械臂为研究对象,对柔性部分建立理论模型并分析其动态特性。为了提高模型精确度,利用有限段方法分析研究不同边界条件下柔性臂各阶固有频率及振型函数,通过假设模态法和汉密尔顿原理,考虑重力,建立机械臂柔性部分动力学模型。引入角度轨迹,在Matlab中利用四阶Runge-Kutta法求解非线性时变微分方程组,获得柔性臂末端负载的残余振动。为实现柔性机械臂模型的进一步精确化和主动残余振动控制提供参考。

关键词: 振动与波, 柔性机械臂, 模态分析, 弹性变形, 动力学建模, 振动分析

Abstract:

This paper took humanoid rigid-flexible coupling robotic arm with three rotating joints as the research object, established dynamic model and analyzed its dynamic characteristics. For improving accuracy of model, paper used finite segment method to analysis inherent frequency and vibration mode functions of flexible robotic arm in different boundary conditions. In consideration of gravity, the assumed-model method and Hamilton’s principle were used to describe deformation of flexible shaft and derive the dynamic model of the flexible robotic arm. A kind of angular function of joints was given to dynamic model to analysis residual oscillation of load. The research has established a foundation for precision of model and positive vibration-control of flexible robotic arm.

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