An Introduction to Burmester Field Theory-Reference-Cited by-同舟云学术

An Introduction to Burmester Field Theory

Published:2000-01-01 Issue:1 Volume:122 Page:25-30
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, Automation Technologies Dept., St. Paul, MN 55144

2. University of Minnesota, Department of Mechanical Engineering, Minneapolis, MN 55455

Abstract

This paper introduces the Burmester field for motion-generation dyads with four design positions. The Burmester field is the region swept by a Burmester curve as one or more of the design positions varies. The geometric features of the Burmester field are discussed and shown to be related to the poles. The most significant feature are anchor poles that remain stationary as the design positions are changed. The envelope of the Burmester field found with the variation of a single design parameter is developed. This work demonstrates that the envelope of the Burmester field consists of segments of Burmester curves and segments found using envelope theory. A number of examples are presented and discussed. [S1050-0472(00)00501-8]

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/122/1/25/5797018/25_1.pdf

Reference20 articles.

1. Beyer, R. The Kinematic Synthesis of Mechanisms, English translation by Kuensel, H., Chapman & Hall Ltd, London, 1963.

2. Mlinar, J. R., “An Examination of the Features of the Burmester Field and the Linear Solution Geometry of Dyads and Triads,” Ph.D. Dissertation, University of Minnesota, Minneapolis, Minnesota, 1997.

3. Sabada, S., Srinivasan, U., Kinzel, G. L., and Waldron, K. J., “Automatic Synthesis of Four-Bar Mechanisms for Four-Position Motion-Generation,” Proceedings of the 20th Biennial ASME Mechanisms Conference, (Trends and Developments Machine and Robotics), DE-Vol. 15-2, ASME 1988, pp. 121–128.

4. Venkataraman, S. C., Kinzel, G. L., and Waldron, K. J., “Optimal Synthesis of Four-Bar Linkages for Four-Position Rigid-Body Guidance with Selective Tolerance Specifications,” Mechanism Design and Synthesis, DE-Vol. 46, ASME 1992, pp. 651–659.

5. Gold, C. H., and Derby, S. J., “The Optimal Design of Mechanisms Employing a Synthesis Based Merit Function,” Mechanism Design and Synthesis, DE-Vol. 46, ASME 1992, pp. 621–631.

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