Publication

On generalized dual Euler angles

Conference Article

Conference

European Conference on Mechanism Science (EUCOMES)

Edition

5th

Pages

61-68

Doc link

http://dx.doi.org/10.1007/978-3-319-09411-3_7

File

Download the digital copy of the doc pdf document

Abstract

This paper first explores the generalization of Euler angles to the case in which the rotation axes are not necessarily members of an orthonormal triad, and presents a concise solution to their computation that relies on the calculation of standard Euler angles. Then, this generalization is taken one step further by introducing translations, that is, by defining generalized Euler angles about screw axes using a variation of the principle of transference that avoids the use of dual numbers. As an example, the obtained formulation is applied to solve the inverse kinematics of a 3C manipulator.

Categories

robot kinematics.

Scientific reference

A. Rull and F. Thomas. On generalized dual Euler angles, 5th European Conference on Mechanism Science, 2014, Guimaraes, Portugal, in New Trends in Mechanism and Machine Science, Vol 24 of Mechanisms and Machine Science, pp. 61-68, 2015, Springer.