An Update on M- and K-Circle Theory for Planar Dyads and Triads-Reference-Cited by-同舟云学术

An Update on M- and K-Circle Theory for Planar Dyads and Triads

Published:2004-07-05 Issue:3 Volume:127 Page:464-468
ISSN:1050-0472
Container-title:Journal of Mechanical Design
language:en
Short-container-title:

Author:

Mlinar John R.¹,Erdman Arthur G.²

Affiliation:

1. 3M Company, 900 Bush Avenue, St. Paul, MN 55144

2. Department of Mechanical Engineering University of Minnesota, Minneapolis, MN 55112

Abstract

M and K circles are solution loci for three design positions of a dyad when one design angle is varied. This paper updates M- and K-circle theory through a geometric explanation of why regions without solutions, known as forbidden regions, exist for the case of path generation with prescribed timing and not for the case of motion generation. The extension of M-K circle theory to the linear solution of triads is also presented. This work presents the finding of circular solution curves for the linear solution of triads along with the conditions for forbidden regions.

Publisher

ASME International

Subject

Computer Graphics and Computer-Aided Design,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Link

http://asmedigitalcollection.asme.org/mechanicaldesign/article-pdf/127/3/464/5602521/464_1.pdf

Reference7 articles.

1. Advanced Mechanism Design: Analysis and Synthesis;Sandor

2. On the Existence of Circle-Point and Center-Point Circles for Three-Precision-Point-Dyad Synthesis;Loerch;ASME J. Mech. Des.

3. Loerch, R. J. , 1977, “Extensions of Revolute Dyad Synthesis for Three Finitely Displaced Positions,” Master’s thesis, University of Minnesota, Minneapolis, Minnesota.

4. Lin, C. S. , 1987, “Dimensional Synthesis of a Planar Triad for Six Precision Positions,” Ph.D. dissertation, University of Minnesota, Minneapolis, Minnesota.

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Expansion of MK Circle Theory for Dyads and Triads;Machines;2023-08-18