An RSSR mechanism is analyzed by treating the linkage as two manipulators. The mobility region of the input link or the output link is derived from the intersection region of the working volumes generated by two manipulators. It can be found by solving the region bounded by an ellipse and a unit circle. Concise discriminants and straightforward strategy are developed to determine the type for some special RSSR linkages. Grashof’s rule is derived for determining the type of planar four-bar and proved to be the primary criterion for simply skewed four-bar.
Issue Section:
Technical Briefs
Keywords:
manipulators
1.
Paul
, B.
, 1979
, “A Reassessment of Grashof’s Criterion
,” ASME J. Mech. Des.
, 101
, pp. 515
–518
.2.
Barker
, C. R.
, 1985
, “A Complete Classification of Planar Four-Bar Linkages
,” Mech. Mach. Theory
, 20
(6
), pp. 535
–554
.3.
Gupta
, V.
, and Radcliffe
, C.
, 1971
, “Mobility Analysis of Plane and Spatial Mechanisms
,” J. Eng. Ind.
, pp.
125
–130
.4.
Suh, C. H., and Radcliffe, C. W., 1978, Kinematics and Mechanisms Design, John Wiley & Sons, New York.
5.
Williams
, R. L.
, and Reinholtz
, C. F.
, 1986
, “Proof of Grashof’s Law Using Polynomial Discriminants
,” ASME J. Mech., Transm., Autom. Des.
, 108
, pp. 562
–564
.6.
Murray, A., and Larochelle P., 1998, “A Classification Scheme for Planar 4R, Spherical 4R, and Spatial RCCC Linkages to Facilitate Computer Animation,” DETC98/MECH-5887, ASME Design Engineering Technical Conferences.
7.
Zhang
, W.
, and Zhan
, D.
, 1993
, “Conditions of Crank Existence for a Particular Case of the RSSR Linkage
,” Mech. Mach. Theory
, 28
(6
), pp. 845
–850
.8.
Freudenstein
, F.
, and Kiss
, I.
, 1969
, “Type Determination of Skew Four-Bar Mechanisms
,” J. Eng. Ind.
, pp.
220
–224
.9.
Freudenstein
, F.
, and Primrose
, E.
, 1976
, “On the Criteria for the Rotatability of the Cranks of Skew Four-Bar Linkage
,” J. Eng. Ind.
, pp.
1285
–1288
.10.
Nolle
, H.
, 1969
, “Ranges of Motion Transfer by the R-G-G-R Linkage
,” J. Mec.
, 4
, pp. 145
–157
.11.
Sticher
, F. C. O.
, 1970
, “Mobility Limit Analysis of R-S-S-R Mechanisms by Ellipse Diagram
,” J. Mec.
, 5
, pp. 393
–415
.12.
Bottema
, O.
, 1971
, “The Motion of the Skew Four-Bar
,” J. Mec.
, 6
, pp. 69
–79
.13.
Kazerounian
, K.
, and Solecki
, R.
, 1993
, “Mobility Analysis of General Bi-Modal Four-Bar Linkages Based on Their Transmission Angle
,” Mech. Mach. Theory
, 28
(3
), pp. 437
–445
.14.
DasGupta
, A.
, 2004
, “Mobility Analysis of a Class of RPSPR Kinematic Chains
,” ASME J. Mech. Des.
, 126
, No. 1
, pp. 71
–78
.15.
Craig, J. J., 1989, Introduction to Robotics: Mechanics and Control, Addison-Wesley, Reading, MA.
16.
Hunt, K. H., 1978, Kinematic Geometry of Mechanisms, Oxford University Press, London.
17.
Chung, W., 2001, “Mobility Analysis of RSSR Mechanisms by Working Volume.” ASME Design Engineering Technical Conferences, DAC-21045.
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by ASME
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