Forward/reverse velocity and acceleration analysis for a class of lower-mobility parallel mechanisms

Journal of Mechanical Design

Volumn 129, Issue 4, 2007, Pages 390-396

  Zhu, Si J ^a   Huang, Zhen ^a   Ding, Hua F ^a  

^a YANSHAN UNIVERSITY   (China)

Author keywords

Hessian; Jacobian; Kinematic influence coefficient; Lower mobility; Parallel mehanism

Indexed keywords

ACCELERATION; ACCELERATION MEASUREMENT; DEGREES OF FREEDOM (MECHANICS); JACOBIAN MATRICES; MATHEMATICAL PROGRAMMING; VELOCITY;

ACCELERATION ANALYSIS; KINEMATIC INFLUENCE COEFFICIENT; KINEMATIC LIMB; LOWER-MOBILITY PARALLEL MECHANISMS; PARALLEL MECHANISM;

KINEMATICS;

EID: 34248365650     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2429698     Document Type: Article

References (29)

1. Hunt, K. H., 1983, "Structural Kinematics of In-parallel-actuated Robot-arms," ASME J. Mech., Transm., Autom. Des., 105(4), pp. 705-712.
2. Song, S. M., and Zhang, M. D., 1995, "A Study of Reactional Force Compensation Based on Three-degree-of-freedom Parallel Platforms," J. Rob. Syst., 12(12), pp. 783-794.
3. Merlet, J-P., 2000, Parallel Robots, Kluwer Academic, Dordrecht.
4. Zlatanov, D., and Gosselin, C. M., 2001, "A New Parallel Architecture with Four Degrees of Freedom," Proceeding of the 2nd Workshop on Computational Kinematics, Seoul, Korea, May 20-22, pp. 57-66.
5. Di Gregorio, R., 2002, "The 3-RRS Wrist: A New, Very Simple and Not Over Constrained Spherical Parallel Mechanism," Proceeding of 2002 ASME Design Engineering Technical Conferences, Montreal, Canada, Sept. 29-Oct. 2, MECH-34344.
6. Kong, X. W., and Gosselin, C. M., 2002, "Kinematics and Singularity Analysis of a Novel Type of 3-CRR 3-DoF Translational Parallel Mechanism," Int. J. Robot. Res., 21(9), pp. 791-798.
7. Huang, Z., and Li, Q. C., 2003, "Type Synthesis of Symmetrical Lower-mobility Parallel Mechanisms Using the Constraint Synthesis Method," Int. J. Robot. Res., 22(1), pp. 59-79.
8. Kong, X. W., and Gosselin, C. M., 2004, "Type Synthesis of 3TIR 4-DOF Parallel Manipulators Based on Screw Theory," IEEE Trans. Rob. Autom., 20(2), pp. 181-190.
9. Li, S. H., 2004, "Some Theoretical Issues on Analysis and Synthesis of Lower-Mobility Parallel Mechanisms," Ph.D. dissertation, Engineering, Yanshan University, Qinhuangdao, Hebei, China (in Chinese).
10. Huang, Z., and Li, Q. C., 2002, "General Methodology for Type Synthesis of Lower-Mobility Symmetrical Parallel Manipulators and Several Novel Manipulators," Int. J. Robot. Res., 21(2), pp. 131-145.
11. Fang, Y. F., and Tsai, L. W., 2002, "Structure Synthesis of a Class of 4-DoF and 5-DoF Parallel Manipulators with Identical Limb Structures," Int. J. Robot. Res., 21(9), pp. 799-810.
12. Li, Q. C., Huang, Z., and Hervé, J. M., 2004, "Type Synthesis of 3R2T 5-DOF Parallel Mechanisms Using the Lie Group of Displacements," IEEE Trans. Rob. Autom., 20(2), pp. 173-180.
13. Kong, X. W., and Gosselin, C. M., 2005, "Type Synthesis of 5-DOF Parallel Manipulators Based on Screw Theory," J. Rob. Syst., 22(10), pp. 535-547.
14. Thomas, M., and Tesar, D., 1982, "Dynamic Modeling of Serial Mechanism Arms," J. Dyn. Syst., Meas., Control, 104(9), pp. 218-227.
15. Huang, Z., 1985, "Modeling Formulation of 6-dof Multi-loop Parallel Mechanisms," Proceeding of the 4th IFToMM International Symposium on Linkage and Computer Aided Design Methods, Bucharest, Romania, Vol. II-1, pp. 155-162.
16. Yan, J., and Huang, Z., 1985, "Kinematical Analysis of Multi-loop Spatial Mechanism," Proceeding of the 4th IFToMM International Symposium on Linkage and Computer Aided Design Methods, Bucharest, Romania, Sept. 16, Vol. II-2 pp. 439-446.
17. Schilling, R. J., 1990, Fundamentals of Robotics: Analysis and Control, Prentice-Hall, Englewood Cliffs, NJ.
18. Di Gregorio, R., 2000, "Closed-form Solution of the Position Analysis of the Pure Translational 3-RUU Parallel Mechanism," Proceeding of the 8th Symposium on Mechanisms and Mechanical Transmissions, MTM 2000, Timisoara. Romania, Oct. 19-22, pp. 119-124.
19. Di Gregorio, R., 2003, "Kinematics of the 3-UPU Wrist," Mech. Mach. Theory, 38(3), pp. 253-263.
20. Joshi, S. A., and Tsai, L. W., 2002, "Jacobian Analysis of Mobility-deficient Parallel Mechanisms," Proceedings ASME 2002 Design Engineering Technical Conferences and Computer and Information in Engineering Conference, Montreal, Canada, Sept. 29-Oct. 2, MECH-34238.
21. Fang, Y. F., and Tsai, L. W., 2003, "Inverse Velocity and Singularity Analysis of Low-DoF Serial Mechanisms," J. Rob. Syst., 20(4), pp. 177-188.
22. Hernández, A., Altuzarra, O., Avilés, R., et al., 2003, "Kinematic Analysis of Mechanisms via a Velocity Equation Based in a Geometric Matrix," Mech. Mach. Theory, 38(12), pp. 1413-1429.
23. Li, Q. C., Hu, X. D., and Huang, Z., 2004, "Jacobian Derivation of 5-DoF 3R2T Parallel Mechanisms," Proceedings ASME 2004 Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Salt Lake City, UT, Sept. 28-Oct. 2, MECH-57276.
24. Hitoshi, T., Takaaki, O., Norio, M., et al., 2004, "A Method to Solve Inverse Kinematics Problems Using Lie Algebra and Its Application to Robot Spray Painting Simulation," Proceedings ASME 2004 Design Engineering Technical Conferences and Computer and Information in Engineering Conference, Salt Lake City, UT, DAC-57086.
25. Lu, Y., 2006, "Using CAD Variation Geometry for Solving Velocity and Acceleration of Parallel Manipulators with 3-5 Linear Driving Limbs," J. Mech. Des., 128(4), pp. 738-746.
26. Huang, Z., 1985, "Modeling Formulation of 6-dof Multi-loop Parallel Mechanisms," Proceeding of the 4th IFToMM International Symposium on Linkage and Computer Aided Design Methods, Bucharest, Romania, Sept. 16, Vol. II-1, pp. 163-170.
27. Zhu, S. J., and Huang, Z., 2005, "Forward/Reverse Velocity and Acceleration Analyses for a Class of Lower-Mobility Parallel Mechanisms," Proceedings ASME 2005 Design Engineering Technical Conferences and Computer and Information in Engineering Conference, Long Beach, CA, Sept. 24-28, MECH-84081.
28. Hunt, K. H., 1978, Kinematic Geometry of Mechanisms, Claredon, Oxford, U.K.
29. Huang, Z., 2004, "Kinematics and Type Synthesis of Lower-mobility Parallel Robot Manipulators," Proceedings 11th IFToMM2004, Tianjin, China, Apr. 1-4, Technical Rep. 6, pp. 65-76.