A complex number approach to the generation of the cubic of stationary curvature

L. G. Johnson, T. R. Chase

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A complex number approach to generating the cubic of stationary curvature (CSC) has been developed. The approach provides a closed form solution for generating points on the curve. The new approach eliminates the need for considering the Euler-Savary equation and centrode curvature as intermediate steps for obtaining points on the curve. Furthermore, the method guarantees that the points will be generated in their natural sequence and it simultaneously produces points on the centerpoint and circlepoint curves. The method can be applied to analyze an existing linkage or to synthesize a linkage to produce a coupler curve with specified stationary curvature at one position. Two analysis and one synthesis examples are provided.

Original languageEnglish (US)
Title of host publication21st Design Automation Conference
PublisherAmerican Society of Mechanical Engineers (ASME)
Pages867-874
Number of pages8
ISBN (Electronic)9780791817162
DOIs
StatePublished - 1995
EventASME 1995 Design Engineering Technical Conferences, DETC 1995, collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium - Boston, United States
Duration: Sep 17 1995Sep 20 1995

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
Volume1

Conference

ConferenceASME 1995 Design Engineering Technical Conferences, DETC 1995, collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium
CountryUnited States
CityBoston
Period9/17/959/20/95

Bibliographical note

Publisher Copyright:
© 1995 American Society of Mechanical Engineers (ASME). All rights reserved.

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