Modeling a heavy rope using redundant coordinates
Daniel Gerbet, Joachim Rudolph · PAMM · 2017
Abstract 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)