0
TECHNICAL PAPERS

A Polynomial Equation for a Coupler Curve of the Double Butterfly Linkage

[+] Author and Article Information
Gordon R. Pennock

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

Atif Hasan

Valeo Motors and Actuators, Auburn Hills, MI 48326-2356

J. Mech. Des 124(1), 39-46 (Apr 01, 2000) (8 pages) doi:10.1115/1.1436087 History: Received April 01, 2000
Copyright © 2002 by ASME
Your Session has timed out. Please sign back in to continue.

References

Hoffman, J. D., 1992, Numerical Methods for Engineers and Scientists, McGraw-Hill Book Co., New York.
Blechschmidt,  J. L., and Uicker,  J. J., 1986, “Linkage Synthesis Using Algebraic Curves,” ASME J. Mech., Transm., Autom. Des., 108, No. 4, pp. 543–548.
Ananthasuresh, G. K., and Kota, S., 1993, “A Renewed Approach to the Synthesis of Four-Bar Linkages for Path Generation via the Coupler Curve Equation,” Proceedings of the 3rd National Applied Mechanisms and Robotics Conference, 2 , Paper No. AMR-93-083, Cincinnati, OH, November 7–10.
Lee,  C. C., 1995, “Kinematic Analysis and Dimensional Synthesis of the Bennett 4R Mechanism,” JSME Int. J., Ser. C, 38, No. 1, pp. 199–207.
Hunt, K. H., 1978, Kinematic Geometry of Mechanisms, Clarendon Press, Oxford University, England.
Hrones, J. A., and Nelson, G. L., 1958, Analysis of the Four-Bar Linkage, MIT Press, Cambridge, MA, and John Wiley and Sons, New York.
Hall, A. S., Jr., 1961, Kinematics and Linkage Design, Prentice-Hall Co., and Waveland Press, Inc., Prospect Heights, IL.
Beyer, R., Translated by Kuenzel, H., 1963, The Kinematic Synthesis of Mechanisms, Chapman and Hall, London.
Bottema, O., and Roth, B., 1979, Theoretical Kinematics, North Holland Publishing Company, Amsterdam.
Primrose,  E. J. F., Freudenstein,  F., and Roth,  B., 1967, “Six-Bar Motion I: The Watt Mechanism,” Archive for Rational Mechanics and Analysis, 24, No. 1, pp. 22–41.
Primrose,  E. J. F., Freudenstein,  F., and Roth,  B., 1967, “Six-Bar Motion II: The Stephenson-I and Stephenson-II Mechanisms,” Archive for Rational Mechanics and Analysis, 24, No. 1, pp. 42–72.
Primrose,  E. J. F., Freudenstein,  F., and Roth,  B., 1967, “Six-Bar Motion III: Extension of the Six-Bar Technique to Eight-Bar and 2n-Bar Mechanisms,” Archive for Rational Mechanics and Analysis, 24, No. 1, pp. 73–77.
Bahgat,  B. M., and Osman,  M. O. M., 1992, “The Parametric Coupler Curve Equations of an Eight Link Planar Mechanism Containing Revolute and Prismatic Joints,” Mech. Mach. Theory, 27, No. 2, pp. 201–211.
Hain, K., 1967, Applied Kinematics, Second Edition, McGraw-Hill Book Co., New York.
Hasan, A., 1999, “A Kinematic Analysis of an Indeterminate Single-Degree-of-Freedom Eight-Bar Linkage,” M.S.M.E. Thesis, Purdue University, West Lafayette, IN.
Bagci, C., 1983, February, “Turned Velocity Image and Turned Velocity Superposition Techniques for the Velocity Analysis of Multi-Input Mechanisms Having Kinematic Indeterminacies,” Mechanical Engineering News, 20 , No. 1, pp. 10–15.
Waldron,  K. J., and Sreenivasan,  S. V., 1996, September, “A Study of the Position Problem for Multi-Circuit Mechanisms by Way of Example of the Double Butterfly Linkage,” ASME J. Mech. Des., 118, No. 3, pp. 390–395.
Almadi, A. N., Dhingra, A. K., and Kohli, D., 1996, “Closed Form Displacement Analysis of SDOF 8 Link Mechanisms,” Proceedings of the ASME 1996 Design Engineering Technical Conferences and Computers in Engineering Conference, CD-ROM Format, The 24th Biennial Mechanisms Conference, University of California, Irvine, CA, August 18–22.
Modrey,  J., 1959, “Analysis of Complex Kinematic Chains with Influence Coefficients,” ASME J. Appl. Mech., 26, Series E, No. 2, pp. 184–188.
Yan, H.-S., and Hsu, M.-H., 1992, “An Analytical Method for Locating Velocity Instantaneous Centers,” Proceedings of the 22nd Biennial ASME Mechanisms Conference, DE-Vol. 47, Flexible Mechanisms, Dynamics, and Analysis, pp. 353–359, Scottsdale, AZ, September 13–16.
Ornelaz, R. D., 1997, “A Semi-Graphical Technique to Locate the Instantaneous Centers of Zero Velocity for Planar Indeterminate Mechanisms,” ME 497/498 Honors Project, Purdue University, West Lafayette, IN.
Raghavan,  M., and Roth,  B., 1995, June, “Solving Polynomial Systems for the Kinematic Analysis and Synthesis of Mechanisms and Robot Manipulators,” ASME J. Mech. Des., 117, No. 2(A), pp. 71–79.
Angeles, J., 1997, Fundamentals of Robotic Systems: Theory, Method, and Algorithms, Springer-Verlag, New York.
Roth, B., 1993, “Computations in Kinematics,” Computational Kinematics, Angeles, J., et al., Eds., Kluwer Academic Publishers, Boston, MA, pp. 3–14.
Van der Waerden, B., 1970, Algebra: Volume 1, Frederick Ungar Publishing Co., New York.
Dhingra, A. K., Almadi, A. N., and Kohli, D., 1998, “A Closed Form Approach to Coupler-Curves of Multi-Loop Mechanisms,” Proceedings of the ASME 1998 Design Engineering Technical Conference, CD-ROM Format, DETC98/MECH-5925, The 25th Biennial Mechanisms Conference, Atlanta, GA, September 13–16.

Figures

Grahic Jump Location
A schematic diagram of the double butterfly linkage
Grahic Jump Location
Notation for the double butterfly linkage

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In