Next Article in Journal
An Assumed Stress Hybrid Finite Element for Buckling Analysis
Previous Article in Journal
Use of Data Envelopment Analysis as a Multi Criteria Decision Tool – A Case of Irrigation Management
Article Menu

Article Versions

Export Article

Open AccessArticle
Math. Comput. Appl. 2011, 16(3), 680-689; doi:10.3390/mca16030680

Expression of Dual Euler Parameters Using the Dual Rodrigues Parameters and Their Application to the Screw Transformation

1
Department of Mathematics, Istanbul Technical University, Maslak 34469, Istanbul,Turkey
2
Department of Mathematics, Faculty of Sciences, University of Dokuz Eylül, 35140 Buca, İzmir, Turkey
*
Authors to whom correspondence should be addressed.
Published: 1 December 2011
Download PDF [370 KB, uploaded 24 March 2016]

Abstract

Dual numbers and dual vectors are widely used in spatial kinematics [3,5- 15,18]. Plücker line coordinates of a straight line can be represented by a dual unit vector located at the dual unit sphere (DUS). By this way, the trajectory of the screw axis of a rigid body in 3 R (the real three space) corresponds to a dual curve on the DUS. This correspondence is done through Study Mapping [8,9]. Conversely a dual curve on DUS obtained from the rotations of the DUS represents a rigid body motion in 3 R [8]. The dual Euler parameters are used in defining the screw transformation in 3 R [8], but originally in this paper these parameters are constructed from the Rodrigues and the dual Rodrigues parameters [15].
Keywords: Kinematics; Study Mapping; Dual Euler Parameters; Screw Transformation Kinematics; Study Mapping; Dual Euler Parameters; Screw Transformation
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Gürsoy, A.E.; Karakılıç, İ. Expression of Dual Euler Parameters Using the Dual Rodrigues Parameters and Their Application to the Screw Transformation. Math. Comput. Appl. 2011, 16, 680-689.

Show more citation formats Show less citations formats

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top