李国栋, 陈宁新. 机器人工作空间的界限面及其位置奇异曲面的代数求解方法[J]. 机器人, 1988, 10(6): 25-31..
LI Guodong. ALGEBRAIC DERIVATION OF SINGULAR POSITION SURFACES AND WORKSPACE BOUNDARY SURFACES OF A MANIPULATOR. ROBOT, 1988, 10(6): 25-31..
Abstract:This paper presents a new method of the determination of singular position surfaces of the reference point on the hand,the boundary surfaces of workspace of anarbitrary n D.O.F manipulator,which may be plane,spherical,or spatial,withlimited revolute and prismatic joints.For illustration,5R,6R and 5R-P manipulatorsare taken as examples.Comparing with all other methods previously used in this subject,our method possesses higher precision and takes shorter CPU time.
[1] Rotli B,Performance evaluation of manipulators from a kinematic eiewpoiat, NBS Special Publicatioa:Performaace Evaluation of Programmable Robots and Manipulators,1975, 459:39-61.
[2] Gupta K C, Roth B, Design considerations for manipulator workspace, ASME Jouraal of Mechanical Design, Is82, 104(4):704-712
[3] Tsai Y Cy Soni A H, Accessible region aad synthesis of robot arms, ASME Paper 1980:80-DET-101
[4] Fichter E F, Hunt K H, The fecund tarus, its bitangeat-circles and derived linkages, Mechanism and Machine Theoryn 1975, 10, 167-178
[5] Freudeasteia F, Primrose E J F,On the analysis sad synthesis of the workspace of a three-link turning-pair connected robot arm, ASME Paper, 1684, 84-DET-24
[6] Kohli D, Spuaos J, Workspace aaalysis of mechaical manipulators using polynomiaaI discrimieats, ASME Paper, 1984; 84-DET-121
[7] Spunos J, Kohli D, Workspace analysis of regional structures of manipulators, ASME Paper 1984; 84-DET-120
[8] 陈宁新.机器人手臂工作空间的代数方程及分析.北京航空学院第五届科学报告会,1986; BH-1798
[9] CHAN Ningxia, Workspace analysis of multijoist robot arm using differential geometry,Proceeding of the 16th International Symposium on Industrial Robot,1986
[10] CHEN Ningxin, Workspace analysis of robot arm using differential geometry, Part 1:A general theory, ASME Paper 1986; 86-DET-164
[11] CHEN Ningxin, Workspace aaalysis of robot arm using differential geometry, Part 2, Workspace analysis of 3R, 4R, 5R and 6R robot arms, ASME Paper 1986; 86-DET-165
[12] 陈宁新.机器人手臂工作空间中手部参考点位置的奇异曲面.北京航空学院科学研究报告Isss; BH-B-2272
[13] Sugimoto K, Duffp J,Determiaation of extreme distaaces of a robot hand, Part I; A general theory, ASME Journal of Mechanical Design,1981; 103(3):631-636
[14] Sugimoto K, Duffp J,Determination of extreme distaaces of a robot haad, Part II:Robot arms with special geometry, ASME Journal of Mechanical Design, 1981; 103(3):776-783
[15] Kumar A, Waldroa K J, The workspace of a mechaaical manipulator, ASME Journal of Mechanical Design, 1981; 103(3):665-672
[16] Selfridge R G, The reachable work area of a manipulator, Mechanisms and Machine Theory,1983; 18(2):131-137
[17] Tsai Y C, Soai A H, Aa algorithm for the workspace of a general n-R robot, ASME Journal of Mechanisms, Traasmissioas and Automation is Design, 1983;105(1):52-57
[18] Hansen J A, Gupta K C, Kazerouaian S M K, Geaeratioa aad evaluation of the workspace of a manipulEtor, Interaational Journal of Robotics Research, 1083,2(3):22-31
[19] Yang D C H, Lee T W, On the workspace of mechaaical manipulators, ASME Journal of Mechanisms, Transmissions and Automation in Desiga,1983; 105(1),62-69
[20] Lee T W, Yaag D C H, On the evaluation of manipulator workspace, ASME Journal of Mechaaisms, Transmissions aad Automation in Design,1983;105(1):70-77
[21] Cwiakala M, Lee T W, Generation and cvaluation of a manipulator workspace based on optimum path search, ASME Paper 1984;84-DET