Masters Theses

Keywords and Phrases

Burmester curves


"Pole tolerance regions appeared to be a potentially useful tool. They appeared to offer the ability to backtrack from within a set of tolerance to an acceptable precision position. A program has been created to implement a backtracking design method for four precision position synthesis of four-bar linkages. The method uses the Burmester curves to backtrack from a set of four poles to a new set of precision positions. The Burmester curves are a set of curves used in the design of four precision position linkages. The backtracking method has been combined with a tolerance region mapping method. Tolerance region mapping is the method by which the tolerance regions around the original set of precision positions define the possible tolerances around the corresponding set of precision positions. The desire is for the user to be able to modify their design while staying within the tolerance regions of the precision positions. However, it appears the relationship between the precision positions, poles, and Burmester curves is more complex than that. Evidence shows that during the backtracking method, staying within the tolerance region while moving a pole can result in the Burmester curves moving outside the possible region for the fifth pole. In fact, even if other design concessions are made to move the curve into the desired tolerance region, the new precision positions may not be within their desired tolerance. This indicates that the relationship between the tolerance zones, poles, and precision positions is more complicated than initially thought"--Abstract, page iii.


Nisbett, J. Keith

Committee Member(s)

Midha, A. (Ashok)
Stone, Robert B.


Mechanical and Aerospace Engineering

Degree Name

M.S. in Mechanical Engineering


University of Missouri--Rolla

Publication Date

Spring 2006


viii, 66 pages

Note about bibliography

Includes bibliographical references (page 65).


© 2006 Jason Paul Schmidt, All rights reserved.

Document Type

Thesis - Restricted Access

File Type




Subject Headings

Links and link-motion
Machinery, Kinematics of

Thesis Number

T 8970

Print OCLC #


Link to Catalog Record

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