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Parameter identification for a heavy rope with internal damping
Author(s) -
Gehring Nicole,
Knüppel Torsten,
Rudolph Joachim,
Woittennek Frank
Publication year - 2012
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201210351
Subject(s) - rope , identification (biology) , convolution (computer science) , suspension (topology) , boundary value problem , point (geometry) , partial differential equation , mathematics , computer science , mathematical analysis , control theory (sociology) , algorithm , geometry , artificial intelligence , botany , control (management) , homotopy , artificial neural network , pure mathematics , biology
A method is presented that allows for the identification of parameters in systems described by linear partial differential equations with spatially dependent coefficients. The approach uses operational calculus to generate equations that involve only convolution products of known (boundary) measurements and the system parameters. In particular, a heavy rope model with an internal damping and a horizontally moving suspension point is addressed. Knowledge of two trajectories at the suspension is sufficient to identify all physical parameters of the rope. This is also illustrated by a simulation result. (© 2012 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)