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Modeling a heavy rope using redundant coordinates
Author(s) -
Gerbet Daniel,
Rudolph Joachim
Publication year - 2017
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201710365
Subject(s) - rope , nonlinear system , formalism (music) , singularity , generalized coordinates , mathematics , computer science , mathematical analysis , physics , algorithm , art , musical , quantum mechanics , visual arts
A generalized Lagrange formalism using redundant coordinates can be applied to systems with distributed parameters. This is illustrated through an example of a heavy rope. The resulting mathematical model for the rope in three‐dimensional space is singularity‐free, at the expense of redundant coordinates constrained by nonlinear equations. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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