Research on Application of GOM Formula-a Novel Mobility Formula
Lu Wenjuan;Zhang Lijie;Zeng Daxing;Zhang Yitong
1.Key Laboratory of Advanced Forging & Stamping Technology and Science,Ministry of Education of China,Yanshan University, Qinhuangdao,Hebei,066004
2.Hebei Provincial Key Laboratory of Heavy Mechinery Fluid Power Transimission and Control,Yanshan University, Qinhuangdao, Hebei,066004
Online:2014-09-10
Published:2014-09-22
Supported by:
National Natural Science Foundation of China(No. 51275438);Hebei Provincial Science and Technology Research Program of Higher Education of China(No. QN2014175)
Lu Wenjuan, Zhang Lijie, Zeng Daxing, Zhang Yitong. Research on Application of GOM Formula-a Novel Mobility Formula[J]. China Mechanical Engineering, 2014, 25(17): 2283-2289.
[1]Grübler M. Getriebelehre:Eine Theorie des Zwanglaufes und der Ebenen Mechanismen[M]. Berlin:Springer,1917.
[2]Kutzbach K. Mechanische Leitungsverzweigung, ihre Gesetze und Anwendungen[J]. Maschinenbau, 1929, 8(21):710-716.
[3]Suh C H, Radcliffe C W. Kinematics and Mechanisms Design[M]. New York: John Wiley & Sons, 1978.
[4]蔡汉忠,欧阳富,廖明军. 机构结构新旧自由度计算公式对比之应用研究[J]. 中国机械工程, 2011, 22(1):35-38.
Cai Hanzhong,Ouyang Fu, Liao Mingjun. Comparable Study and Application on New and Old Formulas of Calculating DOFs of Mechanisms and Structures[J]. China Mechanical Engineering,2011, 22(1):35-38.
[5]黄真,刘婧芳,李艳文. 论机构自由度——寻找了150年的自由度通用公式[M]. 北京:科学出版社,2011.
[6]黄真, 刘靖芳, 李艳文. 150年机构自由度的通用公式问题[J]. 燕山大学学报, 2011, 35(1):1-14.
Huang Zhen,Liu Jingfang,Li Yanwen. 150-year Unified Mobility Formula Issue[J]. Journal of Yanshan University,2011,35(1):1-14.
[7]Gogu G. Mobility and Spatiality of Parallel Robots Revisited via Theory of Linear Transformations[J]. European Journal of Mechanics - A/Solids, 2005, 24 (4): 690-711.
[8]杨廷力,刘安心,罗玉峰,等. 机器人机构拓扑结构设计[M]. 北京:科学出版社, 2012.
[9]Rico J M, Ravani B. On Mobility Analysis of Linkages Using Group Theory[J]. Trans. ASME, J. Mech. Des., 2003, 135: 70-80.
[10]Rico J M, Gallardo J, Ravani B. Lie Algebra and the Mobility of Kinematic Chains[J]. J. Robotic Systems, 2003, 20(8): 477-479.
[11]Zhang Yitong, Mu Dejun. New Concept and New Theory of Mobility Calculation for Multi-loop Mechanisms[J]. Sci. China Tech. Sci., 2010, 53(6): 1598-1604.
[12]Zhang Yitong, Li Yanwen, Wang Liya. A New Formula of Mechanism Mobility Based on Virtual Constraint Loop[J]. Sci. China Tech. Sci., 2011, 54(10): 2768-2775.
[13]Zhang Yitong,Lu Wenjuan,Mu Dejun,et al. Novel Mobility Formula for Parallel Mechanisms Expressed with Mobility of General Link-group[J]. Chinese Journal of Mechanical Engineering,2013,26(6):1082-1090.
[14]Wenger P, Chablat D. Kinematic Analysis of a New Parallel Machine Tool: the Orthoglide[M]. Netherlandish:Kluwer Academic Publishers, 2000.