含摩擦碰撞柔性机械臂动力学研究
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南京理工大学理学院,南京理工大学理学院

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O313 O322

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国家自然科学基金( 11272155;11132007);江苏省“333工程”(BRA2011172);中央高校基本科研业务费专项资金(30920130112009)


Frictional impact dynamics of flexible manipulator arms
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School of Sciences,Nanjing University of Science And Technology,School of Sciences,Nanjing University of Science And Technology

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    摘要:

    本文研究了由柔性杆、柔性铰构成的机械臂的斜碰撞动力学问题。首先,采用高次刚柔耦合理论通过Lagrange方程得到系统的递推动力学模型。然后,引入碰撞力势能,运用连续法建模获得碰撞力所对应的广义力,得到系统的碰撞动力学方程。采用Hertz接触模型和Coulomb摩擦光滑修正模型分别建立法向和切向碰撞模型,提出碰撞/分离切换准则。通过光滑化处理摩擦接触,提高了大型复杂柔性多体系统含摩擦碰撞全局动力学的计算效率。最后对国际空间站机械臂Canadarm2的简化模型斜碰撞过程进行仿真,验证了所提模型和算法的有效性。

    Abstract:

    In this paper, frictional impact dynamics is proposed for the flexible manipulator arms with high-order rigid-flexible coupling effect. Firstly, the system here is an assembly of n flexible links connected by n rotary joints. All link flexibility, namely transversal, longitudinal, torsional and high-order flexible-rigid coupling deformation are included in this model. The 4×4 homogeneous transformation matrices are used to describe the kinematics of system and the recursive strategy for kinematics is adopted. Secondly, the contact/detachment is developed in a consistent manner by introducing the concept of impact force potential energy. The Hertz contact model is utilized to obtain the normal impact force. The tangential impact force is carried out in a smooth processing by modified Coulomb’s friction laws. The continue approach for contact/detachment and smoothed contact model are implemented as an explicit formulation which is suitable for real-time applications and improving the global dynamics computational efficiency for complex multi-body systems with frictional impact. Finally, a simplified model of Canadarm2 is illustrated to demonstrate the accuracy and efficiency of the presented approach and algorithms.

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引用本文

钱震杰,章定国.含摩擦碰撞柔性机械臂动力学研究[J].振动工程学报,2015,28(6).[QIAN Zhenjie, ZHANG Dingguo. Frictional impact dynamics of flexible manipulator arms[J]. Journal of Vibration Engineering,2015,28(6).]

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历史
  • 收稿日期:2014-08-29
  • 最后修改日期:2015-12-01
  • 录用日期:2015-05-12
  • 在线发布日期: 2016-02-26
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