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TECHNICAL PAPERS

An Automatic Method for Finding the Assembly Configurations of Planar Non-Single-Input-Dyadic Mechanisms

[+] Author and Article Information
D. E. Foster, R. J. Cipra

School of Mechanical Engineering, Purdue University, 1288 Mechanical Engineering Building, West Lafayette, IN 47907-1288

J. Mech. Des 124(1), 58-67 (Jun 01, 1999) (10 pages) doi:10.1115/1.1425813 History: Received June 01, 1999
Copyright © 2002 by ASME
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References

Chase,  T. R., and Mirth,  J. A., 1993, “Circuits and Branches of Single-Degree-of-Freedom Planar Linkages,” ASME J. Mech. Des., 115, No. 2, pp. 223–230.
Foster, D. E., 1995, “Assembly Configurations of Closed-Loop Planar Mechanisms with Pin Joints and Sliding Joints,” M.S.M.E. Thesis, Purdue University, West Lafayette, IN.
Waldron,  K. J., 1976, “Elimination of the Branch Problem in Graphical Burmester Mechanism Synthesis for Four Finitely Separated Positions,” ASME J. Eng. Ind., 98, No. 1, pp. 176–182.
Gupta,  K. C., and Tinubu,  S. O., 1983, “Synthesis of Bimodal Function Generating Mechanisms Without Branch Defect,” ASME J. Mech. Trans. Auto. Des., 105, No. 4, pp. 641–647.
Midha,  A., Zhao,  Z. L., and Her,  I., 1985, “Mobility Conditions for Planar Linkages Using Triangle Inequality and Graphical Interpretation,” ASME J. Mech. Trans. Auto. Des., 107, No. 3, pp. 394–400.
Primrose,  E. J. F., Freudenstein,  F., and Roth,  B., 1967, “Six-Bar Motion,” Arch. Ration. Mech. Anal., 24, pp. 22–77.
Mirth,  J. A., and Chase,  T. R., 1993, “Circuit Analysis of Watt Chain Six-Bar Mechanisms,” ASME J. Mech. Des., 115, No. 2, pp. 214–222.
Davis, H. P., Chase, T. R., and Mirth, J. A., 1994, “Circuit Analysis of Stephenson Chain Six-Bar Mechanisms,” Proceedings of ASME Design Technical Conferences, DE-70 , pp. 349–358.
Foster,  D. E., and Cipra,  R. J., 1998, “Assembly Configurations and Branches of Planar Single-Input Dyadic Mechanisms,” ASME J. Mech. Des., 120, No. 3, pp. 381–386.
Foster, D. E., and Cipra, R. J., 1997, “Assembly Configurations of Planar Non-Single-Input-Dyadic Mechanisms,” CD-ROM Proceedings of the 1997 ASME Design Engineering Technical Conferences, Sacramento, CA, Sept. 14–17, Paper No. DAC-3858.
Ting, K.-L., and Shyu, J. H., 1992, “Joint Rotation Space of Five-Bar Linkages,” Proceedings of ASME Design Technical Conferences, DE-Vol. 46, pp. 93–101.
Ting,  K.-L., and Dou,  X., 1996, “Classification and Branch Identification of Stephenson Six-Bar Chains,” Mech. Mach. Theory, 31, No. 3, pp. 283–295.
Dou, X., and Ting, K.-L., 1998, “Identification of Singularity Free Joint Rotation Space of Two-DOF Parallel Manipulators,” CD-ROM Proceedings of the 1998 ASME Design Engineering Technical Conferences, Atlanta, GA, Sept. 12–16, Paper No. MECH-5910.
Foster, D. E., 1999, “Assembly Configurations of Planar Multi-Loop Mechanisms with Kinematic Limitations and Spatial Single-Loop Mechanisms,” Ph.D. Thesis, Purdue University, West Lafayette, IN.

Figures

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AC plots for two four-bar linkages
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Dyad configuration of two links
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Two-loop SID six-bar linkage
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Two NSID eight-bar linkages
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3D plot of distance AB for r1=16,r2=11,r5=13
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Bounding curves for r3=14,r4=2
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Bounding curves for r3=6,r4=2
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Bounding curves for r3=18,r4=14
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Results of initial search for the five-bar linkage in Fig. 8
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Following the bounding curve
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Bounding curves for seven-bar linkage
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Use of loop 1 segments to find bounding curves
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AC curves for six-bar linkage
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AC plot for six-bar mechanism

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