An introduction to burmester field theory

John R. Mlinar; Arthur G. Erdman

doi:10.1115/DETC98/MECH-5916

An introduction to burmester field theory

John R. Mlinar, Arthur G. Erdman

Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Scopus citations

Abstract

This paper introduces the Burmester field for motiongeneration 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 Burmester field's geometric features are 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 presented. 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.

Original language	English (US)
Title of host publication	25th Biennial Mechanisms Conference
Publisher	American Society of Mechanical Engineers (ASME)
ISBN (Electronic)	9780791880319
DOIs	https://doi.org/10.1115/DETC98/MECH-5916
State	Published - 1998
Event	ASME 1998 Design Engineering Technical Conferences, DETC 1998 - Atlanta, United States Duration: Sep 13 1998 → Sep 16 1998

Publication series

Name	Proceedings of the ASME Design Engineering Technical Conference
Volume	1B-1998

Conference

Conference	ASME 1998 Design Engineering Technical Conferences, DETC 1998
Country/Territory	United States
City	Atlanta
Period	9/13/98 → 9/16/98

Bibliographical note

Publisher Copyright:
© 1998 by ASME.

Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.

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10.1115/DETC98/MECH-5916

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Mlinar, JR & Erdman, AG 1998, An introduction to burmester field theory. in 25th Biennial Mechanisms Conference., 5916, Proceedings of the ASME Design Engineering Technical Conference, vol. 1B-1998, American Society of Mechanical Engineers (ASME), ASME 1998 Design Engineering Technical Conferences, DETC 1998, Atlanta, United States, 9/13/98. https://doi.org/10.1115/DETC98/MECH-5916

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AB - This paper introduces the Burmester field for motiongeneration 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 Burmester field's geometric features are 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 presented. 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.

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An introduction to burmester field theory

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