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TECHNICAL PAPERS

Synthesis of Spherical Four-Bar Mechanisms for Two or Three Prescribed Coupler-Curve Cusps

[+] Author and Article Information
Deng-Maw Lu

Department of Mechanical Engineering, Southern Taiwan University of Technology, Yungkang, Tainan, Taiwan 710, R.O.C.

Wen-Miin Hwang

Department of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan 701, R.O.C.

J. Mech. Des 123(2), 247-253 (Feb 01, 2000) (7 pages) doi:10.1115/1.1360185 History: Received February 01, 2000
Copyright © 2001 by ASME
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References

Dobrovolskii,  V. V., 1944, “On Spherical Coupler Curves (in Russian),” Prikl. Mat. Mekh., 8, pp475–477.
Ma,  O., and Angeles,  J., 1988, “Performance Evaluation of Path-Generating Planar, Spherical and Spatial Four-bar Linkages,” Mech. Mach. Theory, 23, pp. 257–268.
Chiang, C. H., 1988, Kinematics of Spherical Mechanisms, Cambridge University Press, Cambridge.
Lu,  D. M., and Hwang,  W. H., 1996, “Spherical Four-bar Linkages with Symmetrical Coupler-Curves,” Mech. Mach. Theory, 31, pp. 1–10.
Beyer, R., 1963, The Kinematic Synthesis of Mechanisms, McGraw-Hill, New York.
Hartenberg, R. S., and Denavit, J., 1964, Kinematic Synthesis of Linkages, McGraw-Hill, New York.
Bottema, O., and Roth, B., 1979, Theoretical Kinematics, North-Holland, Amsterdam.
Dahan,  M., Dalha,  C., and Lexcellent,  C., 1985, “Proprietes et Utilisation du Mechanisme de Bennett,” Mech. Mach. Theory, 20, pp. 189–197.
Bodduluri,  R. M. C., and McCarthy,  J. M., 1992, “Finite Position Synthesis Using the Image Curve of a Spherical Four-Bar Motion,” ASME J. Mech. Des., 114, No. 1, pp. 55–60.
McCarthy, J. M., 2000, Geometric Design of Linkages, Springer, New York.
Meyer zur Capellen,  W., and Werner,  M., 1975, “Konjugierte Stellungen bei sphaerischen Viergelenkgetrieben und die zugehoerigen speziellen Koppelkurven,” Mech. Mach. Theory, 10, pp. 421–430.
Chang,  C. F., Lu,  D. M., and Hwang,  W. M., 1997, “Synthesis of Spherical Four-bar Path Generator Satisfying the Prescribed Tangents at Two Cusps,” IMechE, Proc. Instr. Mech. Engs. 211, Part C, pp. 211–216.
Dowler,  H. J., Duffy,  J., and Tesar,  D., 1978, “A Generalized Study of Four and Five Multiply Separated Positions in Spherical Kinematics-II,” Mech. Mach. Theory, 13, pp 409–435.
Lu,  D. M., Chang,  C. F., and Hwang,  W. M., 1996, “On the Break-ups of Spherical Center- and Circle-point Curves of the PP−PP Case,” Mech. Mach. Theory, 31, pp. 749–762.

Figures

Grahic Jump Location
A spherical four-bar mechanism in two positions
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The spherical polar coordinates of center-point and circle-point
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The degenerated spherical Burmester curves for l=90°
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The degenerated spherical Burmester curves for l≠90°
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Determination of cranks of case I
Grahic Jump Location
Some spherical four-bar mechanisms with two-cusp coupler of case I
Grahic Jump Location
Determination of cranks of case II
Grahic Jump Location
Some spherical four-bar mechanisms with two-cusp coupler of case II
Grahic Jump Location
A spherical four-bar mechanism and its coupler curve of design example

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