BibTeX
@INPROCEEDINGS{
Jalon2007Ncf,
author = "Javier Garc\'{\i}a de Jal\'{o}n and Nobuyuki Shimizu and
David G\'{o}mez",
title = "Natural coordinates for teaching multibody systems with {M}atlab",
booktitle = "Proceedings of the ASME 2007 International Design Engineering Technical
Conferences and Computers and Information in Engineering Conference {IDETC/CIE}~2007, September
4--7, 2007, Las Vegas, Nevada, USA",
year = "2007",
volume = "5",
series = "6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control,
Parts A, B, and C",
isbn = "0-7918-4806-X",
pages = "1539--1548",
publisher = "ASME",
url = "http://link.aip.org/link/abstract/ASMECP/v2007/i4806X/p1539/s1",
ad_area = "Multibody Systems",
ad_tools = "ADiMat",
doi = "10.1115/DETC2007-35358",
abstract = "This paper deals with teaching kinematic and dynamic analysis of 3-D multibody
systems in a context of courses with severe time constraints and the objective of attaining
practical abilities. This high course efficiency is intended by the use of a simple theoretical
approach (the natural or fully Cartesian coordinates) and a high level programming language (the
function rich and easy to learn development tool Matlab). The theoretical prerequisites for such a
course can be kept to a minimum. This approach would allow the introduction of some lessons on
multibody systems inside more general courses on machine dynamics. It can also be useful for short
courses addressed to engineers in industry and for numerical analysis courses addressed to
mechanical engineering students that are interested in practical applications of these numerical
methods. In this paper the achievable theory level will be presented in detail by means of a
practical but non trivial example: a closed-chain 3-D robot. Natural coordinates and Matlab are also
a good starting point to present more advanced techniques such as numerical integration methods for
ODEs and DAEs, or the not very well known automatic differentiation techniques. The latter is
considered as a more advanced example in this paper."
}
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