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

Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005

Volumn 7 B, Issue , 2005, Pages 949-955

  Zhu, Si J ^a   Huang, Zhen ^a   Guo, Xi J ^a  

^a YANSHAN UNIVERSITY   (China)

Author keywords

Hessian; Jacobian; Kinematics; Lower mobility; Parallel mechanism

Indexed keywords

ACCELERATION; COMPUTER PROGRAMMING; DEGREES OF FREEDOM (MECHANICS); KINEMATICS;

HESSIAN; JACOBIAN; LOWER-MOBILITY; PARALLEL MECHANISM;

MECHANISMS;

EID: 33244479183     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (21)

1. Hunt, K. H., 1983, "Structural Kinematics of In-parallel-actuated Robot-arms," ASME Journal of Mechanisms, Transmissions and Automation in Design, Vol. 105, No. 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," International Journal of Robotic System, Vol. 12, No. 12, pp.783-794.
3. Merlet, J-P., 2000, Parallel Robots, Kluwer Academic Publishers, Dordrecht.
4. Zlatanov, D., and Gosselin, C. M., 2001, "A New Parallel Architecture with Four Degrees of Freedom," Proc., of the 2nd Workshop on Computational Kinematics, Seoul, Korea, pp. 57-66.
5. Di Gregorio, R., 2002, "The 3-RRS Wrist: a New, Very Simple and Not Over Constrained Spherical Parallel Mechanism," Proc., of 2002 ASME Design Engineering Technical Conferences, Montreal, Canada, 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," International Journal of Robotics Research, Vol. 21, No. 9, pp. 791-798.
7. Huang Z. and Q. C. Li. General Methodology for Type Synthesis of Lower-Mobility Symmetrical Parallel Manipulators and Several Novel manipulators. International Journal of Robotics Research, 2002, 21(2): 131-145.
8. Huang, Z., 1985, "Modeling Formulation of 6-dof Multiloop Parallel Mechanisms, Part-1: Kinematic Influence Coefficients," Proc., of the 4th IFToMM International Symposium on Linkage and Computer Aided Design Methods, Bucharest, Romania, II-1 pp. 155-162.
9. th IFToMM International Symposium on Linkage and Computer Aided Design Methods, Bucharest, Romania, II-2 pp. 439-446.
10. Schilling, R. J., 1990, Fundamentals of Robotics: Analysis and Control, Prentice-Hall, Englewoods, NJ.
11. Di Gregorio, R., 2000, "Closed-form Solution of the Position Analysis of the Pure Translational 3-RUU Parallel Mechanism," Proc., of the 8th Symposium on Mechanisms and Mechanical Transmissions, MTM 2000, Timisoara, Romania, pp. 119-124.
12. Di Gregorio, R., 2003, "Kinematics of the 3-UPU Wrist," Mechanism and Machine Theory, Vol. 38, No. 3, pp. 253-263.
13. Joshi, S. A., and Tsai, L. W., 2002, "Jacobian Analysis of Mobility-deficient Parallel Mechanisms," ASME 2002 Design Engineering Technical Conferences and Computer and Information in Engineering Conference, Montreal, Canada, MECH-34238.
14. Fang, Y. F., and Tsai, L. W., 2003, "Inverse Velocity and Singularity Analysis of Low-DOF Serial Mechanisms," International Journal of Robotic Systems, Vol. 20, No. 4, pp.177-188.
15. Hernández, A., Altuzarra, O., Avilés, R., and et al., 2003, "Kinematic Analysis of Mechanisms via a Velocity Equation Based in a Geometric Matrix," Mechanism and Machine Theory, Vol. 38, No. 12, pp. 1413-1429.
16. Li, Q. C., Hu, X. D., and Huang, Z., 2004, "Jacobian Derivation of 5-DOF 3R2T Parallel Mechanisms," ASME 2004 Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Salt Lake City, Utah, MECH-57276.
17. Hitoshi, T., Takaaki, O., Norio, M., and et al., 2004, "A Method to Solve Inverse Kinematics Problems using Lie Algebra and its Application to Robot Spray Painting Simulation," ASME 2004 Design Engineering Technical Conferences and Computer and Information in Engineering Conference, Salt Lake City, USA, DAC-57086.
18. Thomas, M., and Tesar, D., 1982, "Dynamic Modeling of Serial Mechanism Arms," Journal of Dynamic System Measure and Control, Vol. 104, No. 9, pp. 218-227.
19. Huang, Z., 1985, "Modeling Formulation of 6-dof Multiloop Parallel Mechanisms, Part-2: Dynamic Modeling and Example," Proc., of the 4th IFToMM International Symposium on Linkage and Computer Aided Design Methods, Bucharest, Romania, II-1 pp. 163-170.
20. Hunt, K. H., 1978, Kinematic Geometry of Mechanisms, Claredon Press, Oxford.
21. th IFToMM2004, Tianjin, China, pp. 65-76.