In this paper, we formulated a systematic design methodology for the design of planar six- and eight-bar slider mechanisms for motion generation applications that require more complex motion than the slider–crank mechanism. We show how two RR dyads can be synthesized and attached to planar PRR and PRR–3R chain for the dimensional synthesis of planar six- and eight-bar slider mechanisms, respectively. The results are 15 different types of one degree-of-freedom planar six- and eight-bar linkages with a prismatic joint at its base. We demonstrate the design process with the design of a multifunctional wheelchair that could transform its structure between a self-propelled wheelchair and a walking guide meant for outpatient rehabilitation purpose.
Issue Section:
Research Papers
References
1.
Myszka
, D. H.
, and Murray
, A. P.
, 2010
, “Pole Arrangements That Introduce Prismatic Joints Into the Design Space of Four- and Five-Position Rigid-Body Synthesis
,” Mech. Mach. Theory
, 45
(9
), pp. 1314
–1325
.10.1016/j.mechmachtheory.2010.04.0012.
Lin
, C. S.
, and Erdman
, A. G.
, 1987
, “Dimensional Synthesis of Planar Triads for Six Positions
,” Mech. Mach. Theory
, 22
(5
), pp. 411
–419
.10.1016/0094-114X(87)90058-93.
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 J. Mech. Des.
, 109
(4
), pp. 426
–434
.10.1115/1.32588134.
Subbian
, T.
, and Flugrad
, D. R.
, 1994
, “Six and Seven Position Triad Synthesis Using Continuation Methods
,” ASME J. Mech. Des.
, 116
(2
), pp. 660
–665
.10.1115/1.29194295.
Farhang
, K.
, and Basu
, P. S.
, 1994
, “Kinematic Analysis and Synthesis of Three-Input, Eight-Bar Mechanisms Driven by Relatively Small Cranks
,” ASME J. Mech. Des.
, 116
(3
), pp. 930
–936
.10.1115/1.29194726.
Mariappan
, J.
, and Krishnamurty
, S.
, 1994
, “A Generalized Exact Gradient Method for Mechanism Synthesis
,” Mech. Mach. Theory
, 31
(4
), pp. 413
–421
.10.1016/0094-114X(95)00077-C7.
Sancibrian
, R.
, Garca
, P.
, Viadero
, F.
, and Fernandez
, A.
, 2006
, “A General Procedure Based on Exact Gradient Determination in Dimensional Synthesis of Planar Mechanisms
,” Mech. Mach. Theory
, 41
(2
), pp. 212
–229
.10.1016/j.mechmachtheory.2005.04.0068.
Gatti
, G.
, and Mundo
, D.
, 2007
, “Optimal Synthesis of Six-Bar Crammed-Linkages for Exact Rigid-Body Guidance
,” Mech. Mach. Theory
, 42
(9
), pp. 1069
–1081
.10.1016/j.mechmachtheory.2006.09.0069.
Chen
, C.
, and Angeles
, J.
, 2008
, “A Novel Family of Linkages for Advanced Motion Synthesis
,” Mech. Mach. Theory
, 43
(7
), pp. 882
–890
.10.1016/j.mechmachtheory.2007.06.00710.
Soh
, G. S.
, and McCarthy
, J. M.
, 2008
, “The Synthesis of Six-Bar Linkages as Constrained Planar 3R Chains
,” Mech. Mach. Theory
, 43
(2
), pp. 160
–170
.10.1016/j.mechmachtheory.2007.02.00411.
Zhao
, P.
, Purwar
, A.
, and Ge
, Q. J.
, 2013
, “Task Driven Unified Synthesis of Planar Four-Bar and Six-Bar Linkages With Revolute and Prismatic Joints for Five Position Synthesis
,” ASME
Paper No. DETC2013-13168.10.1115/DETC2013-1316812.
Aviles
, R.
, Vallejo
, J.
, Aguirrebeitia
, J.
, de Bustos
, I. F.
, and Ajuria
, G.
, 2010
, “Optimization of Linkages for Generalized Rigid-Body Guidance Synthesis Based on Finite Element Models
,” Mech. Mach. Theory
, 46
(9
), pp. 721
–731
.10.1016/j.finel.2010.03.01013.
Myszka
, D. H.
, and Murray
, A. P.
, 2010
, “Singularity Free Revolute-Prismatic-Revolute and Spherical-Prismatic-Spherical Chains for Actuating Planar and Spherical Single Degree of Freedom Mechanisms
,” ASME J. Mech. Rob.
, 4
(1
), p. 011007
.10.1115/1.400553014.
Zhao
, K.
, Schmiedeler
, J. P.
, and Murray
, A. P.
, 2013
, “Kinematic Synthesis of Planar, Shape-Changing Rigid-Body Mechanisms With Prismatic Joints
,” ASME
Paper No. DETC2011-48503.10.1115/DETC2011-4850315.
Shamsudin
, S. A.
, Murray
, A. P.
, Myska
, D. H.
, and Schmiedeler
, J. P.
, 2013
, “Kinematic Synthesis of Planar, Shape-Changing, Rigid Body Mechanisms for Design Profiles With Significant Differences in Arc Length
,” Mech. Mach. Theory
, 70
, pp. 425
–440
.10.1016/j.mechmachtheory.2013.08.00716.
Burmester
, L.
, 1888
, Lehrbuch der Kinematik
, Felix
, A.
, ed., Verlag
, Leipzig, Germany
.17.
Sandor
, G. N.
, and Erdman
, A. G.
, 1984
, Advanced Mechanism Design: Analysis and Synthesis
, Vol. 2
, Prentice-Hall
, Englewood Cliffs, NJ
.18.
McCarthy
, J. M.
and Soh
, G. S.
, 2010
, Geometric Design of Linkages
(Interdisciplinary Applied Mathematics), 2nd ed., Springer-Verlag
, New York
.19.
Tsai
, L. W.
, 2001
, Enumeration of Kinematic Structures According to Function
, CRC Press
, Boca Raton, FL
.20.
Jin
, Z.
, and Ge
, Q. J.
, 2010
, “Constrained Motion Interpolation for Planar Open Kinematic Chains
,” Mech. Mach. Theory
, 45
(7
), pp. 1721
–1732
.10.1016/j.mechmachtheory.2010.06.00321.
Cooper
, R. A.
, 1995
, Rehabilitation Engineering Applied to Mobility and Manipulation
, Institute of Physics Publishing
, Bristol, UK
.22.
Soh
, G. S.
, and McCarthy
, J. M.
, 2008
, “Assessment Criteria for Conceptual Design of Six-Bar Linkage
,” ASME
Paper No. DETC2007-35588.10.1115/DETC2007-35588Copyright © 2015 by ASME
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