Singularity analysis of the H4 parallel mechanisms with isomorphic sub-chains

被引：0

作者：

Fang B. ^{[1
]}

Li J. ^{[1
]}

Qing J. ^{[1
]}

机构：

[1] College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology

来源：

Jixie Gongcheng Xuebao/Journal of Mechanical Engineering | 2010年 / 46卷 / 21期

关键词：

Force Jacobian Line; Geometry method; H4 parallel mechanism; Isomorphic sub-chain; Singularity;

D O I：

10.3901/JME.2010.21.042

中图分类号：

学科分类号：

摘要：

H4 mechanism corresponds to a group of parallel mechanisms with good dynamical character, the center components of their movable platforms have three translational DOFs and one rotational DOF. In this group of mechanisms there are four isomorphic sub-chain mechanisms, each sub-chain includes one (S-S)2 quadrilateral bar-suit, and the difference of these four mechanisms is in that their actuated joints or the sub-chains'deployment between base and movable platforms are different. Based on the structure analysis of isomorphic sub-chain mechanisms, the force equilibrium equations of movable platform and sub-chain are established, and force Jacobian matrix are obtained. On which the singularities of the four mechanisms are analyzed by using line geometry method, the discriminating conditions of sub-chain singularity, platform singularity and actuator singularity are proposed, and the kinematic characters of mechanisms at singularity configurations are analyzed. Finally, the configuration examples of an isomorphic sub-chain parallel mechanism in the states of sub-chain singularity, platform singularity and actuator singularity are illustrated. ©2010 Journal of Mechanical Engineering.

引用

页码：42 / 47

页数：5

共 13 条

[1]

Huang T., Li Z.X., Li M., Conceptual design and dimensional synthesis of a novel 2-DOF translational parallel robot for pick-and-place operations, ASME Journal of Mechanical Design, 126, 5, pp. 449-455, (2004)

[2]

Clavel R., Device for the movement and positioning of an element in space, (1990)

[3]

Pierrot F., H4: A new family of 4-DOF parallel robots, IEEE/ASME International Conference on Advanced Intelligent Mechatronics, pp. 508-513, (1999)

[4]

Company O., Pierrot F., A new 3T-IR parallel robot, IEEE International Conference on Robotics and Automation, pp. 557-562, (1999)

[5]

Pierrot F., Marquet F., Company O., H4 parallel robot: Modelling, design and preliminary experiments, IEEE International Conference on Robotics and Automation, pp. 3256-3261, (2001)

[6]

Vivas A., Poignet P., Marquet F., Experimental dynamic identification of a fully parallel robot, IEEE International Conference on Robotics and Automation, pp. 3278-3283, (2003)

[7]

Company O., Marquet F., A new high-speed 4-DOF parallel robot synthesis and modeling issues, IEEE Transactions on Robotics and Automation, 19, 3, pp. 411-420, (2004)

[8]

Choi H.B., Konno A., Uchiyarma M., Closed-form solutions for the forward kinematics of a 4-DOF parallel robot H4, IEEE/RSJ International Conference on Robot and Systems, pp. 3312-3317, (2003)

[9]

Company O., Pierrot F., A method for modeling analytical stiffness of a lower mobility parallel manipulator, IEEE International Conference on Robotics and Automation, pp. 3232-3237, (2005)

[10]

Wu J.B., Yu Z.P., Xiong Y.L., Singularity analysis of a novel 4-DOF parallel manipulator H4, International Journal of Advanced Manufacture Technology, 29, 7, pp. 794-802, (2006)

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