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 proceedingChapter

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 Annual Design Automation Conference
Pages867-874
Number of pages8
Edition1
StatePublished - Dec 1 1995
EventProceedings of the 1995 ASME Design Engineering Technical Conference - Boston, MA, USA
Duration: Sep 17 1995Sep 20 1995

Publication series

NameAmerican Society of Mechanical Engineers, Design Engineering Division (Publication) DE
Number1
Volume82

Other

OtherProceedings of the 1995 ASME Design Engineering Technical Conference
CityBoston, MA, USA
Period9/17/959/20/95

Fingerprint Dive into the research topics of 'Complex number approach to the generation of the cubic of stationary curvature'. Together they form a unique fingerprint.

  • Cite this

    Johnson, L. G., & Chase, T. R. (1995). Complex number approach to the generation of the cubic of stationary curvature. In 21st Annual Design Automation Conference (1 ed., pp. 867-874). (American Society of Mechanical Engineers, Design Engineering Division (Publication) DE; Vol. 82, No. 1).