Abstract
Parallel kinematic machines have attracted worldwide interest due to their potential in revolutionizing machine tool technology and their potential in maneuvering precisely heavy objects such as fixtures and tool holders for complex tasks in assembly and disassembly operations. Our recent research activities on parallel kinematic machines have been concentrated on the following issues. (1) The concept of vertex space was introduced to decompose complex workspace problem into simpler subproblems. Through the vertex spaces, key design parameters are analyzed, and method for determining the placement of machines and tasks are developed. (2) Design and planning issues for effective and convenient reconfiguration were studied. To assist the leg placement, the concept of foot- placement space (EPS) is introduced, and a construction method for obtaining the foot-placement space has also been developed. (3) Application of 6-dof parallel kinematic machines in machining operations leads to some unique planning and control issues. Several of them are under investigation.
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References
Gough V E, Whitehall S G 1956–57 Universal Tyre Testing Machine. In: Proc., 9th International Technical Congress FISIA, Vol 117, pp 117–135
Merlet J-P i996 Workspace-oriented Methodology for Designing a Parallel Manipulator. In: Proc., IEEE Int. Conf. on Robotics and Automation, Minneapolis, pp 3726–3731
Stewart D 1965-66 A Platform with Six Degrees of Freedom. In: Proc. Instn. Mech. Engrs, Vol 180, Pt 1, No 15, pp 371–378
Minski M 1972 Manipulator Design Vignettes. AI memo, No. 267, MIT AI Lab.
Albus J, Bostelman R, Dagalakis N 1993 The NIST ROBOCRANE. J. of Robotic Systems 10 (5): 709–724
Tindale J 1965-66 Discussion on the Stewart Paper. In: Proc. Instn. Mech. Engrs, Vol 180, Pt 1, No 15, pp 383-384
Aronson R B 1997 Hexapods: Hot or Ho Hum. Manufacturing Engineering, Oct., pp 60–67
Gosselin C 1990 Determination of the Workspace of 6-DOF Parallel Manipulator. IEEE, Trans, on Robotics and Automation 6 (3): 281–290
Gosselin C, Lavoie E, Toutant P 1992 An Efficient Algorithm for the Graphical Representation of the Three-Dimensional Workspace of Parallel Manipulators. Robotics, Spatial Mechanisms, and Mechanical Systems ASME DE-Vol. 45, pp 323–328
Huang T, Whitehouse D J, Wang J S 1998 Local Dexterity, Optimal Architecture and Design Criteria of Parallel Machine Tools. CIRP Annuals 47 (1): 347–351
Kumar V 1990 Characterization of Workspaces of Parallel Manipulators. ASME DE-Vol. 25: 321–329
Pennock G R, Kassner D J 1991 The Workspace of a General Geometry Planar Three-Degree-of-Freedom Platform-Type Manipulator. Advances in Design Automation ASME DE-Vol. 32 (2): 537–544
Ji Z 1994 Workspace Analysis of Stewart Platforms Via Vertex Space. J. of Robotic Systems 11 (7): 631–639
Ji Z 1996 Analysis of Design Parameters in Platform Manipulators. ASME J. of Mechanical Design 118 (4): 526–531
Ji Z 1995 Placement Analysis for a Class of Platform Manipulators. In: Proc. of ASME Design Engineering Conferences, Vol 1, Boston, pp 773-779
Ji Z, Song P 1998 Design of a Reconfigurable Platform Manipulator. J. of Robotic Systems 15 (6): 341–346
Ji Z, Li Z 1998 Determination of Individual Foot-Placement Space for Modular Platform Manipulators. In: Proc. of DETC98, to appear
Arai T, Stoughton R, Jaya Y M 1993 Micro Hand Module using Parallel Link Mechanism. In: Proc. of Japan-USA Symposium on Flexible Automation, San Francisco, pp 163–168
Bajpai A, Roth B 1986 Workspace and Mobility of a Closed-Loop Manipulator. Int. J. of Robotics Research 5 (2): 131–142
Chen N-X Song S-M 1992 Direct Position Analysis of the 4-6 Stewart Platforms. Robotics, Spatial Mechanisms, and Mechanical Systems ASME DE- Vol. 45: 75–80
Cheok K C, Overholt J L, Beck R 1993 Exact Methods for Determining the Kinematics of a Stewart Platform Using Additional Displacement Sensors. J. of Robotic Systems 10 (5): 689–708
Cleary K, Arai T 1991 A Prototype Parallel Manipulator: Kinematics, Construction, Software, Workspace Results, and Singularity Analysis. In: Proc., IEEE Int. Conf. on Robotics and Automation, pp 566–571
Cleary K, Brooks T 1993 Kinematic Analysis of a Novel 6-DOF Parallel Manipulator. In: Proc., IEEE Int. Conf. on Robotics and Automation, Atlanta, GA., pp 708–713
Dasgupta B, Mruthyunjaya T S 1994 A Canonical Formulation of the Direct Position Kinematics Problem for a General 6-6 Stewart Platform. Mechanisms and Machine Theory 29 (6): 819–827
Fichter E F 1986 A Stewart Platform-Based Manipulator: General Theory and Practical Construction. Int. J. of Robotics Research 5 (2): 157–182
Fitzgerald J M 1993 Evaluating the Stewart Platform for Manufacturing. Robotics Today 6 (1): 1–3
Gosselin C 1990 Stiffness Mapping for Parallel Manipulator. IEEE, Trans, on Robotics and Automation 6 (3): 377–382
Gosselin C, Angeles J 1990 Singularity Analysis of Closed Loop Kinematic Chains. ASME J. of Mechanical Design 112 (3): 331–336
Gosselin C, Ricard R, Nahon M 1995 A Comparison of Architectures of Parallel Mechanisms for Workspace and Kinematic Properties. In: Design Engineering Technical Conferences, Vol /, pp 951–958
Grace K W et al. 1993 A Six Degree of Freedom Micromanipulator for Ophthalmic Surgery. In: Proc. of IEEE International Conference on Robotics and Automation, Vol 7, Atlanta, pp 630-635
Griffis M, Duffy J 1989 A Forward Displacement Analysis of a Class of Stewart Platforms. J. of Robotic Systems 6 (6): 703–720
Hudgens J, Tesar D 1988 A Fully-Parallel Six Degree-of-freedom Micromanipulator: Kinematic Analysis and Dynamic Model. Trends and Developments in Mechanisms, Machines and Robotics ASME DE-Vol. 15-3:29- 37
Hunt K H 1983 Structural Kinematics of In-Parallel-Actuated Robot-Arms. ASME J. of Mechanisms, Transmissions, and Automation in Design 105: 705–712
Husty M 1994 An Algorithm for Solving the Direct Kinematics of the Stewart- Gough-Type Platform. Preprint, McGill Research Center for Intelligent Machines, June
Innocenti C, Parenti-Castelli V 1992 Forward Kinematics of the General 6-6 Fully Parallel Mechanism: an Exhaustive Numerical Approach via a Mono- Dimensional-Search Algorithm. Robotics, Spatial Mechanisms, and Mechanical Systems ASME DE-Vol. 45: 545–552
Ma O, Angeles J 1991 Architecture Singularities of Parallel kinematic machines. In: Proc., IEEE Int. Conf on Robotics and Automation, Sacramento, CA., pp 1542–1547
Masory O, Wang J 1992 Workspace Evaluation of Stewart Platforms. Robotics, Spatial Mechanisms, and Mechanical Systems ASME DE-Vol. 45: 337–346
Masory O, Wang J 1993 On the Accuracy of a Stewart Platform. In: Proc., IEEE Int. Conf. on Robotics and Automation, Atlanta, pp 114-120 and 725-731
McCallion H, Pham D T 1979 The Analysis of a Six Degree of Freedom Work Station for Mechanised Assembly. In: Proc. of the 5th World Congress on Theory of Machines and Mechanisms, Montreal, pp 611-616
Merlet J-P 1989 Singular Configurations of Parallel Manipulators and Grassmann Geometry. Int. J. of Robotics Research 8 (5): 45–56
Merlet J-P 1993 Closed-form resolution of the direct kinematics of Parallel Manipulators using Extra sensor Data. In: Proc. IEEE Int. Conf. on Robotics and Automation, Atlanta, GA, pp 200–204
Merlet J-P 1995 Determination of the Orientation Workspace of Parallel Manipulators. J. of Intelligent and Robotic Systems 13: 143–160
Mohamed M G, Duffy J 1985 A Direct Determination of the Instantaneous Kinematics of Fully Parallel Robot Manipulators. ASME J. of Mechanisms, Transmissions, and Automation in Design 107: 226–229
Nanua P, Waldron K J, Murthy V 1989 Direct Kinematic Solution of a Stewart Platform. IEEE Trans, on Robotics and Automation 6 (4): 438–444
Parenti-Castelli V, Gregorio R 1995 Determination of the actual configuration of the general Stewart platform using only one additional displacement sensor. In: Proc. of ASME Int. Mechanical Engineering Congress & Exposition, Nov. 12- 17, San Francisco, CA
Raghavan M 1993 The Stewart Platform of General Geometry Has 40 Configurations. J. of Mechanical Design 115 (2): 277–282
Shi X, Fenton R G 1992 Structural Instabilities in Platform-type Parallel Manipulators due to Singular Configurations. Robotics, Spatial Mechanisms, and Mechanical Systems ASME DE-Vol. 45: 347–352
Sreenivasan S V, Waldron K J 1994 Closed-form Direct Displacement Analysis of a 6-6 Stewart Platform. Mechanisms and Machine Theory 29 (6): 855–864
Tsai L, Tahmasebi F 1993 Synthesis and Analysis of a New Class of Six- Degree-of-Freedom Parallel Manipulators. J. of Robotic Systems 10 (5): 561–580
Yang D C H, Lee T W 1984 Feasibility Study of a Platform Type of Robotic Manipulators from a Kinematic Viewpoint. ASME J. of Mechanisms, Transmissions, and Automation in Design 106: 191–198
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Ji, Z., Leu, M.C. (1999). Design, Reconfiguration, and Control of Parallel Kinematic Machines. In: Boër, C.R., Molinari-Tosatti, L., Smith, K.S. (eds) Parallel Kinematic Machines. Advanced Manufacturing. Springer, London. https://doi.org/10.1007/978-1-4471-0885-6_8
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DOI: https://doi.org/10.1007/978-1-4471-0885-6_8
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