On the Existence of Circle-Point and Center-Point Circles for Three-Precision-Point-Dyad Synthesis

[+] Author and Article Information
R. J. Loerch, A. G. Erdman

University of Minnesota, Minneapolis, Minn.

G. N. Sandor

Mechanical Engineering Design Laboratory, University of Fla.

J. Mech. Des 101(4), 554-562 (Oct 01, 1979) (9 pages) doi:10.1115/1.3454100 History: Received June 22, 1978; Online October 21, 2010


A graphical method is developed for expressing solutions to all possible revolute dyad, three finitely separated position synthesis problems, where any two rotational displacements are prescribed. Also, cases are discussed where two positions and one velocity are prescribed. The three-precision-point solutions are shown to be represented by circular loci of fixed and moving dyad pivots that are derived from an analytical treatment based on bilinear transformation of the synthesis equations. The superposition of two three-position dyad problems with two common positions yields points on the four-precision-point Burmester curves satisfying both problems. A new alternative explanation for the classical Burmester curve construction is offered. Regions of the plane are found where dyad moving pivots cannot exist for a given problem. Computer graphics output is used to demonstrate several typical solutions.

Copyright © 1979 by ASME
Topics: Accuracy
Your Session has timed out. Please sign back in to continue.






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
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