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TECHNICAL PAPERS

Mobility Analysis of a Class of RPSPR Kinematic Chains

[+] Author and Article Information
Anirvan DasGupta

Dept. of Mechanical Engineering, IIT Kharagpur, 721302 Indiae-mail: anir@mech.iitkgp.ernet.in

J. Mech. Des 126(1), 71-78 (Mar 11, 2004) (8 pages) doi:10.1115/1.1637649 History: Received July 01, 2001; Revised June 01, 2003; Online March 11, 2004
Copyright © 2004 by ASME
Topics: Chain , Mechanisms
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References

Grashof, F., 1883, “Theorestische Machinenlehre,” Leipzig, pp. 113–118.
Hunt K. H., 1959, Mechanisms and Motion, Wiley, New York.
Harrisberger, L., 1963, “Mobility Analysis of a Three-Dimensional Four-Link Mechanism,” ASME paper 64-WA/MD-16.
Harrisberger,  L., 1964, “Space Crank Mechanisms,” Mach. Des., 36(10), pp. 170–175.
Skreiner,  M., 1967, “Methods to Identify the Mobility Regions of a Spatial Four-Link Mechanism,” J. Mech., 2, pp. 425–427.
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.
Hunt,  K. H., 1967, “Screw Axis and Mobility in Spatial Mechanisms via the Linear Complex,” J. Mech., 3, pp. 307–327.
Jenkins,  E. M., , 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.
Nolle,  H., 1969, “Ranges of Motion Transfer by the R-G-G-R Linkage,” J. Mech., 4, pp. 145–157.
Freudenstein,  F., and Kiss,  I. S., 1969, “Type Determination of Skew Four-Bar Mechanisms,” ASME J. Eng. Ind., 91, pp. 220–224.
Bottema,  O., 1971, “The Motion of the Skew Four-Bar,” J. Mech., 6, pp. 69–79.
Gupta,  K. V., and Radcliffe,  C. W., 1971, “Mobility Analysis of Planar and Spatial Mechanisms,” ASME J. Eng. Ind., 93, pp. 125–130.
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.
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.
Lakshminarayana, K., and Rao, L. V. B., 1982, “Type Determination of the RSSR Mechanisms,” ASME Paper No. 82-DET-119.
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.
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.
Rastegar,  J., 1989, “Movability Conditions with Transmission Angle Limitations for Spatial Mechanisms,” ASME J. Mech., Transm., Autom. Des., 111, pp. 519–523.
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.
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.
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.
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.
Savage,  M., and Hall,  A. S., 1970, “Unique Description of All Spherical Four-Bar Linkages,” ASME J. Eng. Ind., 92, pp. 559–563.
Mallik,  A. K., 1994, “Mobility and Type Identification of Four-Link Mechanisms,” ASME J. Mech. Des., 116, pp. 629–633.
Mallik A. K., Ghosh, A., and Dittrich, G., 1994, Kinematic Analysis and Synthesis of Mechanisms, CRC Press, Inc.
Shukla,  G., and Mallik,  A. K., 2000, “Detection of a Crank in Six-Link Planar Mechanisms,” Mech. Mach. Theory, 35, pp. 911–926.
Chace,  M. A., 1965, “Solutions to the Vector Tetrahedron Equation,” ASME J. Eng. Ind., 87(2), pp. 228–234.
Hartenberg, R. S., and Denavit, J., 1964, Kinematic Synthesis of Linkages, McGraw-Hill, New York.
Suh,  C. H., 1968, “Design of Space Mechanisms for Rigid-Body Guidance,” ASME J. Eng. Ind., 90(3), pp. 499–506.
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.
Soni, A. H., and Harrisberger, L., 1968, Application of3×3Screw Matrix to Kinematic and Dynamic Analysis of Mechanisms, VDI-Brichte.
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.

Figures

Grahic Jump Location
General kinematic structure of a RPSPR chain
Grahic Jump Location
Graphical mobility conditions for link 1 with sin2 α2>sin2 β: (a) crank of crank-rocker, (b) rocker of crank-rocker/double-rocker, and (c) crank of double-crank
Grahic Jump Location
Example 3: (a) rotatability conditions of link 1, (b) rotatability conditions of link 2, and (c) θ12 plot of single-mode double-rocker mechanism
Grahic Jump Location
Example 3: (a) rotatability conditions of link 1, (b) rotatability conditions of link 2, and (c) θ12 plot of two-mode double-rocker mechanism
Grahic Jump Location
Sufficient conditions for link 1 to be crank with sin2 α2>sin2 β
Grahic Jump Location
Graphical mobility conditions for link 1 with sin2 α2<sin2 β: (a) crank of crank-rocker, and (b) rocker of crank-rocker/double-rocker
Grahic Jump Location
Sufficient conditions for link 1 to be crank with sin2 α2<sin2 β
Grahic Jump Location
Graphical mobility conditions for link 2: (a) crank of double-crank, (b) crank of crank-rocker, and (c) crank of crank-rocker
Grahic Jump Location
Sufficient conditions for link 2 to be crank with [(l2 cot α2 tan β+d02)2+d22 sin2 β]/l12<1: (a) crank of double-crank, and (b) crank of crank-rocker
Grahic Jump Location
Example 1: (a) rotatability conditions of link 1, (b) rotatability conditions of link 2, and (c) θ12 plot of crank-rocker with link 2 as crank
Grahic Jump Location
Example 2: (a) rotatability conditions of link 1, (b) rotatability conditions of link 2, and (c) θ12 plot of double-crank mechanism

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