Mobility Analysis of a Class of RPSPR Kinematic Chains

Journal of Mechanical Design

Volumn 126, Issue 1, 2004, Pages 71-78

  DasGupta, Anirvan ^a,b  

^a INDIAN INSTITUTE OF TECHNOLOGY   (India)

^b DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CARRIER MOBILITY; COMPUTATIONAL GEOMETRY; FUNCTIONS; NUMERICAL METHODS; POLYNOMIALS; PRISMS; VECTORS;

MOBILITY ANALYSIS; SPATIAL LINKAGES;

KINEMATICS;

EID: 1642633961     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1637649     Document Type: Article

References (32)

1. Grashof, F., 1883, "Theorestische Machinenlehre," Leipzig, pp. 113-118.
2. Hunt K. H., 1959, Mechanisms and Motion, Wiley, New York.
3. Harrisberger, L., 1963, "Mobility Analysis of a Three-Dimensional Four-Link Mechanism," ASME paper 64-WA/MD-16.
4. Harrisberger, L., 1964, "Space Crank Mechanisms," Mach. Des., 36(10), pp. 170-175.
5. Skreiner, M., 1967, "Methods to Identify the Mobility Regions of a Spatial Four-Link Mechanism," J. Mech., 2, pp. 425-427.
6. Ogawa, K., Funabashi, H., and Hayakawa, O., 1968, "On the Rotational Conditions of the Spatial Four-Bar Mechanisms," Bull. JSME, 11(43), pp. 180-188.
7. Hunt, K. H., 1967, "Screw Axis and Mobility in Spatial Mechanisms via the Linear Complex," J. Mech., 3, pp. 307-327.
8. Jenkins, E. M., Jr., Crossley, F. R. E., and Hunt, K. H., 1969, "Gross Motion Attributes of Certain Spatial Mechanisms," ASME J. Eng. Ind., 91(1), pp. 83-90.
9. Nolle, H., 1969, "Ranges of Motion Transfer by the R-G-G-R Linkage," J. Mech., 4, pp. 145-157.
10. Freudenstein, F., and Kiss, I. S., 1969, "Type Determination of Skew Four-Bar Mechanisms," ASME J. Eng. Ind., 91, pp. 220-224.
11. Bottema, O., 1971, "The Motion of the Skew Four-Bar," J. Mech., 6, pp. 69-79.
12. Gupta, K. V., and Radcliffe, C. W., 1971, "Mobility Analysis of Planar and Spatial Mechanisms," ASME J. Eng. Ind., 93, pp. 125-130.
13. Freudenstein, F., and Primrose, E. J. F., 1976, "On the Criteria for the Rotatability of the Cranks of a Skew Four-Bar Linkage," ASME J. Eng. Ind., 98, pp. 1285-1288.
14. Alizade, R. I., and Sandor, G. N., 1985, "Determination of the Condition of Existence of Complete Crank Rotation and of the Instantaneous Efficiency of Spatial Four-Bar Mechanisms," Mech. Mach. Theory, 20(3), pp. 155-163.
15. Lakshminarayana, K., and Rao, L. V. B., 1982, "Type Determination of the RSSR Mechanisms," ASME Paper No. 82-DET-119.
16. Williams, R. L., and Reinholtz, C. F., 1987, "Mechanism Link Rotatability and Limit Position Analysis Using Polynomial Discriminants," ASME J. Mech., Transm., Autom. Des., 109(2), pp. 178-182.
17. Pamidi, P. R., and Freudenstein, F., 1975, "On the Motion of a Class of Five-Link, R-C-R-C-R, Spatial Mechanisms," ASME J. Eng. Ind., 97(1), pp. 334-339.
18. Rastegar, J., 1989, "Movability Conditions with Transmission Angle Limitations for Spatial Mechanisms," ASME J. Mech., Transm., Autom. Des., 111, pp. 519-523.
19. Rastegar, J., and Tu, Q., 1992, "Approximated Grashof-Type Movability Conditions for RSSR Mechanisms with Force Transmission Limitations," ASME J. Mech. Des., 114, pp. 74-81.
20. Rastegar, J., and Tu, Q., 1996, "Geometrically Approximated Rotatability Conditions for Spatial RSRC Mechanisms with Joint Angle Limitations," ASME J. Mech., Transm., Autom. Des., 111, pp. 519-523.
21. Freudenstein, F., 1965, "On the Determination of Type of Spherical Four-Link Mechanisms," Contemporary Problems in the Theory of Machines and Mechanisms, USSR Academy of Sciences, pp. 193-196.
22. Gupta, K. C., 1986, "Rotatability Considerations for Spherical Four-Bar Linkages with Application to Robot Wrist Design," ASME J. Mech., Transm., Autom. Des., 108, pp. 387-391.
23. Savage, M., and Hall, A. S., 1970, "Unique Description of All Spherical Four-Bar Linkages," ASME J. Eng. Ind., 92, pp. 559-563.
24. Mallik, A. K., 1994, "Mobility and Type Identification of Four-Link Mechanisms," ASME J. Mech. Des., 116, pp. 629-633.
25. Mallik A. K., Ghosh, A., and Dittrich, G., 1994, Kinematic Analysis and Synthesis of Mechanisms, CRC Press, Inc.
26. Shukla, G., and Mallik, A. K., 2000, "Detection of a Crank in Six-Link Planar Mechanisms," Mech. Mach. Theory, 35, pp. 911-926.
27. Chace, M. A., 1965, "Solutions to the Vector Tetrahedron Equation," ASME J. Eng. Ind., 87(2), pp. 228-234.
28. Hartenberg, R. S., and Denavit, J., 1964, Kinematic Synthesis of Linkages, McGraw-Hill, New York.
29. Suh, C. H., 1968, "Design of Space Mechanisms for Rigid-Body Guidance," ASME J. Eng. Ind., 90(3), pp. 499-506.
30. Yang, A. T., 1969, "Displacement Analysis of Spatial Five-Link Mechanisms Using (3×3) Matrices with Dual-Number Elements," ASME J. Eng. Ind., 91(1), pp. 152-157.
31. Soni, A. H., and Harrisberger, L., 1968, Application of 3×3 Screw Matrix to Kinematic and Dynamic Analysis of Mechanisms, VDI-Brichte.
32. Soni, A. H., and Pamidi, P. R., 1971, "Closed-Form Displacement Relations of a Five-Link R-R-C-C-R Spatial Mechanism," ASME J. Eng. Ind., 93, pp. 221-226.