The kinematic synthesis of mechanically constrained planar 3R Chains

EuCoMeS 2006 - 1st European Conference on Mechanism Science, Conference Proceedings

Volumn , Issue , 2006, Pages

  Soh, Gim Song ^a   Gracia, Alba Perez ^b   McCarthy, J Michael ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b IDAHO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DEGREES OF FREEDOM (MECHANICS);

DEGREE OF FREEDOM; KINEMATIC SYNTHESIS; MECHANICAL CONSTRAINTS; REVOLUTE JOINTS; SERIAL CHAINS; SIX-BAR LINKAGES; SYNTHESIS PROCESS; TASK POSITION;

CHAINS;

EID: 84929017997     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (19)

1. Krovi, V., Ananthasuresh, G. K., and Kumar, V., 2002, "Kinematic and Kinetostatic Synthesis of Planar Coupled Serial Chain Mechanisms," ASME Journal of Mechanical Design, 124(2):301-312.
2. Lin, C-S, and Erdman, A. G., 1987, "Dimensional Synthesis of Planar Triads for Six Positions," Mechanism and Machine Theory, 22:411-419.
3. Chase, T. R., Erdman, A. G., and Riley, D. R., 1987, "Triad Synthesis for up to 5 Design Positions with Applications to the Design of Arbitrary Planar Mechanisms," ASME Journal of Mechanisms, Transmissions and Automation in Design, 109(4):426-434.
4. Subbian, T., and Flugrad, D. R., 1994, "6 and 7 Position Triad Synthesis using Continuation Methods," Journal of Mechanical Design, 116(2):660-665.
5. Perez, A., and McCarthy, J. M., 2005, "Clifford Algebra Exponentials and Planar Linkage Synthesis Equations," ASME Journal of Mechanical Design, 127(5):931-940, September.
6. A. Perez and J. M. McCarthy 2004, Dual Quaternion Synthesis of Constrained Robotic Systems, ASME Journal of Mechanical Design, 126: 425-435
7. K.J. Waldron, and G.L. Kinzel, Kinematics, Dynamics and Design of Machinery-Second Edition, John & Wiley Inc, 2004
8. L.W. Tsai, Enumeration of Kinematic Structures According to Function, CRC Press, 2001
9. C. W. Wampler, "Solving the Kinematics of Planar Mechanisms by Dixon Determinant and a Complex Plane Formulation", ASME Journal of Mechanical Design, 123(3), pp. 382-387
10. J. M. McCarthy, An Introduction to Theoretical Kinematics, MIT Press, Cambridge, MA, 1990.
11. Lee, E., and Mavroidis, D.,2002, "Solving the Geometric Design Problem of Spatial 3R Robot Manipulators Using Polynomial Homotopy Continuation," ASME Journal of Mechanical Design, 124(4), pp.652-661
12. McCarthy, J.M., 1993, "Dual Quaternions and the Pole Triangle", Modern Kinematics. Developments in the last 40 years., Arthur G. Erdman, editor. John Wiley and Sons, New York.
13. Bottema, O., and Roth, B., 1979, Theoretical Kinematics, North Holland Press, NY.
14. DeSa, S., and Roth, B., 1981, "Kinematic Mappings. Part2: Rational Algebraic Motions in the Plane", ASME Journal of Mechanical Design, 103:712-717.
15. Ravani, B., and Roth, B., 1983, "Motion Synthesis Using Kinematic Mapping," ASME J. of Mechanisms, Transmissions, and Automation in Design, 105(3):460-467.
16. H. P. Schrocker, M. L. Husty and J. M. McCarthy, 2005, "Kinematic Mapping-based Evaluation of Assembly Modes for Planar Four-bar Synthesis," Proceedings of the ASME International Design Engineering Technical Conferences, Long Beach, CA, September 25-28.
17. K. Brunnthaler, M. Pfurner, and M. Husty, 2005, "Synthesis of planar four-bar mechanisms," Proceedings of MUSME 2005, the International Symposium on Multibody Systems and Mechatronics, Uberlandia, Brazil, March 6-9.
18. Sandor, G. N., and Erdman, A. G., 1984, Advanced Mechanism Design: Analysis and Synthesis, Vol. 2. Prentice-Hall, Englewood Cliffs, NJ.
19. McCarthy, J. M., 2000, Geometric Design of Linkages, Springer-Verlag, New York.