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1. 河南科技大学 规划与建筑工程学院, 河南 洛阳 471003
2. 河南科技大学 机电工程学院,河南 洛阳,471003
收稿日期:2011-08-26,
修回日期:2011-10-27,
网络出版日期:2012-03-22,
纸质出版日期:2012-03-22
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张彦斌, 王慧萍, 吴鑫. 完全各向同性3自由度平面并联机构的型综合[J]. 光学精密工程, 2012,(3): 579-586
ZHANG Yan-bin, WANG Hui-ping, WU Xin. Structure synthesis of fully-isotropic 3- DoF planar parallel manipulators[J]. Editorial Office of Optics and Precision Engineering, 2012,(3): 579-586
张彦斌, 王慧萍, 吴鑫. 完全各向同性3自由度平面并联机构的型综合[J]. 光学精密工程, 2012,(3): 579-586 DOI: 10.3788/OPE.20122003.0579.
ZHANG Yan-bin, WANG Hui-ping, WU Xin. Structure synthesis of fully-isotropic 3- DoF planar parallel manipulators[J]. Editorial Office of Optics and Precision Engineering, 2012,(3): 579-586 DOI: 10.3788/OPE.20122003.0579.
提出了完全各向同性3自由度平面并联机构型综合的系统方法。首先
根据螺旋理论讨论了完全各向同性平面并联机构的运动学必要条件。然后
基于机构各分支对动平台控制功能的不同
通过互易螺旋理论推导出各分支的驱动螺旋、主动螺旋和可动非主动螺旋
并按照分支连接度的不同列举出所有可行的分支运动链。最后
按照机构各分支相应的装配条件
选取所综合出的3条分支运动链将动平台和静平台连接起来得到预期的机构
共得到新型机构3 167种。由于综合出的并联机器人机构的运动雅可比矩阵均为单位阵
即条件数恒为1
因此这类机构具有良好的运动学和力传递性能
在工业机器人、微操作机器人和医用机器人等领域具有潜在的应用前景。
A systemic approach to the structure synthesis of fully-isotropic three degree-of-freedom(DoF) planar parallel manipulators was presented. Firstly
the necessary conditions for designing fully-isotropic planar parallel manipulators were discussed by use of the screw theory. Based on the different control functions of each limb for the moving platforms
the actuation screw
actuated screw and mobile unactuated screws of every limb were derived in terms of the reciprocal screw theory. Then
all possible limbs were enumerated according to the different connectivity numbers of the kinematic chain. Finally
the desired manipulators
including 3 167 new types
were obtained by connecting the moving platform to the fixed base by using three limbs according to some assembling conditions. Each kinematic Jacobian of these manipulators is an identical matrix and their conditioning numbers are all equal to 1
so the manipulators can offer very good motion and force transmissions
and show prospective applications in industrial robots
micro-manipulating robots
and medical robots.
张典范, 高峰. 染色体切割设备的并联宏动平台运动学传递性能 [J]. 光学 精密工程, 2009, 17(8): 1896-1901. ZHANG D F, GAO F. Kinematics transmission property of parallel macro manipulator of cutting equipment for chromosome[J]. Opt. Precision Eng., 2009, 17(8): 1896-1901. (in Chinese)[2] 程刚, 葛世荣, 蒋世磊. 3-UCR并联机构的瞬态运动学研究 [J]. 光学 精密工程, 2008, 16(1): 108-113. CHENG G, GE SH R, JIANG SH L. Research on transient kinematic characteristics of 3-UCR parallel robot[J]. Opt. Precision Eng., 2008, 16(1): 108-113. (in Chinese)[3] 崔冰艳, 金振林. 基于正交机构的机器人肩关节静力学分析与结构参数设计 [J]. 光学 精密工程, 2011, 19(1): 77-82. CUI B Y, JIN ZH L. Statics analysis and structure parameter design of robot shoulder joint based on rothogonal mechanism[J]. Opt. Precision Eng., 2011, 19(1): 77-82. (in Chinese)[4] CHANDRA R, ROLLAN L. On solving the forward kinematics of 3RPR planar parallel manipulator using hybrid metaheuristics[J]. Applied Methematics and Computation, 2011, 217: 8997-9008.[5] ZEIN M, WENGER P, CHABLAT D. Non-singular assembly-mode changing motions for 3-RPR parallel manipulators[J]. Mechanism and Machine Theory, 2008, 43(4): 480-490.[6] BINAUD N, CARO S, WENGER P. Sensitivity comparison of planar parallel manipulators[J]. Mechanism and Machine Theory, 2010, 45: 1477-1490.[7] CHANDRA R, ROLLAND L. On solving the forward kinematics of 3RPR planar parallel manipulator using hybrid metaheuristics [J]. Applied Mathematics and Compuation, 2011, 217: 8997-9008.[8] ARSENAULT M, BOUDREAU R. Synthesis of planar parallel mechanisms while considering workspace, dexterity stiffness and singularity avoidance[J]. ASME Journal of Mechanical Design, 2006, 128: 69-78.[9] BONEV L A, ZLATANOV D, GOSSELIN C M. Singularity analysis of 3-dof planar parallel mechanisms via screw theory[J]. ASME Journal of Mechanical Design, 2003, 125(3): 573-581.[10] GLAZUNOV C. Design of decoupled parallel manipulators by means of the theory of screws[J]. Mechanism and Machine Theory, 2010, 45: 239-250.[11] GOGU G. Fully-isotropic over-constrained planar parallel manipulators. Proceedings of IEEE/RSJ International Conference on Intelligent Robots and Systems, Sendai, Japan, 2004, 3519-3524.[12] 张彦斌, 刘宏昭, 吴鑫. 基于互易螺旋理论的无奇异完全各向同性移动并联机构型综合 [J]. 机械工程学报, 2008, 44(10): 83-88. ZHANG Y B, LIU H ZH, WU X. Type synthesis of non-singular fully-isotropic translational parallel mechanisms based on theory of reciprocal screw[J]. Chinese Jounal of Mechanical Engineering, 2008, 44(10): 83-88. (in Chinese)
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