A Closed Form Method for Backtracking from a Modified Burmester Curve to a Set of Precision Positions

Abstract

A method is presented, in the context of Burmester theory, which backtracks from a modified set of poles to a set of precision positions which is likely to satisfy the original precision position tolerances. The motivation is to provide a means of manipulating the Burmester curves into desired regions by moving the poles rather than the precision positions directly. The procedure correlates a movement of a pole to a new set of precision positions which are determined to be more than likely nearest to the original set of precision positions. By checking the most likely precision positions, it is not necessary to check the remaining infinite possible sets of precision positions. Thus, even though it is theoretically impossible to backtrack from four poles to a unique set of precision positions, with this method it is practically possible to do so.

Department(s)

Mechanical and Aerospace Engineering

International Standard Book Number (ISBN)

978-079189757-7

Document Type

Article - Conference proceedings

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 American Society of Mechanical Engineers, All rights reserved.

Publication Date

01 Jan 1996

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