Using CAD variation geometry and analytic approach for solving kinematics of a novel 3-SPU/3-SPU parallel manipulator

Journal of Mechanical Design

Volumn 128, Issue 3, 2006, Pages 574-580

  Lu, Yi ^a  

^a YANSHAN UNIVERSITY   (China)

Author keywords

CAD variation geometry; Simulation mechanism; Spatial parallel manipulator

Indexed keywords

ACCELERATION MEASUREMENT; COMPUTATIONAL GEOMETRY; COMPUTER AIDED DESIGN; COMPUTER SIMULATION; DEGREES OF FREEDOM (MECHANICS); KINEMATICS; MATRIX ALGEBRA; MOTION CONTROL; NUMERICAL ANALYSIS; POSITION MEASUREMENT; PROBLEM SOLVING; VELOCITY MEASUREMENT;

HESSIAN MATRIX; JACOBIAN MATRIX; PARALLEL MANIPULATOR; THREE-DEGREES OF FREEDOM; WORKSPACE;

MANIPULATORS;

EID: 33646182478     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2181993     Document Type: Article

References (25)

1. Stewart, D., 1965, "A Platform with Six Degrees of Freedom," Proc. Inst. Mech. Eng. 180 (15) pp. 371-386.
2. Sreentvasan, S. V., and Waldron, K. J., 1994, "Closed-form Direct Displacement Analysis of 6-6 Stewart Platform," Mech. Mach. Theory, 29(2), pp. 855-864.
3. Alizade, R. I., Tagiyev, N. R., and Duffy, J., 1994, "A Forward and Reverse Displacement Analysis of a 6-DOF In-parallel Manipulators," Mech. Mach. Theory, 29(1), pp. 115-124.
4. Hunt, K. H., 1983, "Structural Kinematics of In-Parallel Actuated Robot Arms," Trans. ASME J. Mech. Trans. Automat., 105(4), pp. 705-712.
5. Fang, Y., and Huang, Z., 1997, "Kinematics of a Three-Degree-of-Freedom In-Parallel Actuated Manipulator Mechanism," Mech. Mach. Theory, 32(7), 789-796.
6. Tasi, L. W., and Stamper, R., 1996, "A Parallel Manipulator with Only Translation Degrees of Freedom," in ASME 1996 Design Engineering Technical Conference, 96-DETC-MECH-1152, Irvine, CA.
7. Tsai, L. W., and Joshi, S., 2000, "Kinematics and Optimization of a Spatial 3-UPU Parallel Manipulator," ASME J. Mech. Des., 122(4), pp. 439-446.
8. Ping, J., and Hongtao, W., 2003, "Kinematics Analysis of an Offset 3-UPU Translational Parallel Robotic Manipulator," Rob. Auton. Syst., 42(2), pp. 117-123.
9. Gosselin, C. M., 1993, "On the Direct Kinematics of Spherical 3-DOF Parallel Manipulators," Int. J. Robot. Res., 12(4), pp. 394-402.
10. Gosselin, C. M., and Angeles, J., 1994, "The Optimum Kinematic Design of a Spherical 3-DOF Parallel Manipulator," ASME J. Mech., Transm., Autom. Des., 116(4), pp. 1141-1147.
11. Kong, X., and Gosselin, C. M., 2002, "Generation and Forward Displacement Analysis of RPR-PR-RPR Analytic Planar Parallel Manipulators," ASME J. Mech. Des., 124(6), pp. 294-300.
12. Tsai, M.-S., Shiau, T.-N., Tsai, Y.-J., and Chang, T.H., 2003, "Direct Kinematics Analysis of 3-PRS Parallel Mechanism," Mech. Mach. Theory, 38 (1), pp. 71-83.
13. Huang, Z., and Li, Q., 2002, "Type Synthesis Principle of Minor-Mobility Parallel Manipulators," Sci. China, Ser. E: Technol. Sci., 45(3), pp. 241-248.
14. Gao, F., Li, W., and Zhao, X., 2002, "New Kinematic Structures for 2-, 3-, 4-, and 5-DOF Parallel Manipulator Designs," Mech. Mach. Theory, 37, pp. 1395-1411.
15. Gosselin, C. M., Pereault, L., and Vaillancourt, C., 1995, "Simulation and Computer-Aided Kinematic Design of Three-Degree-of Freedom Spherical Parallel Manipulators," J. Rob. Syst., 12(12), pp. 857-869.
16. Lu, Y., 2004, "Using CAD Functionalities for the Kinematics Analysis of Spatial Parallel Manipulators with 3-, 4-, 5-, 6-Linearly Driven Limbs," Mech. Mach. Theory, 39 (1), pp. 46-60.
17. Lu, Y., 2002, "Computer Simulation Applied to an Orthogonal Three-Rod Machine Tool for Machining a Complicated Three-Dimensional Surface," Int. J. Mach. Tools Manuf., 42(11), pp. 1277-1284.
18. Lu, Y., and Tatu, L., 2002, "Computer Simulation Approach to Machining Complicated Shape on Orthogonal 6-Rod Machine Tool," Int. J. Mach. Tools Manuf., 42(4), pp. 441-447.
19. Lu, Y., 2004, "Computer-Aided Geometric Machining of a 3D Free Surface Using Using a 3-UPU Spatial Parallel Machine Tool," Int. J. Adv. Manuf. Technol., 24 (12), pp. 1312-1319.
20. Chanhee, H., Jinwook, K., Jongwon, K., and Frank, C. P., 2002, "Kinematic Sensitivity Analysis of the 3-UPU Parallel Mechanism," Mech. Mach. Theory, 37, pp. 787-798.
21. Stock, M., and Miller, K., 2003, "Optimal Kinematic Design of Spatial Parallel Manipulators: Application to Linear Delta Robot," ASME J. Mech. Des., 125(4), p. 292.
22. Codourey, A., Clavel, R., and Burckhardt, C.W., 1991, "Control Algorithm and Controller for the Direct Drive DELTA Robot," IFAC Robot Control, Vienna, Austria, pp. 543-549.
23. Huang, Z., and Zhao, Y. S., 1999, "Kinematic Principle and Geometrical Condition of General Linear-Complex Special Configuration of Parallel Manipulators," Mech. Mach. Theory, 34 (8), pp. 1171-1186.
24. Huang, Z., Chen, L. H., and Li, Y. W., 2003, "The Singularity Principle and Property of Stewart Parallel Manipulator," J. Rob. Syst., 20(4), pp. 163-176.
25. Miller, K., 2002, "Maximization of Workspace Volume of 3-DOF Spatial Parallel Manipulators" ASME J. Mech. Des., 124(4), p. 347.