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Nonlinear vibrations of a ropeway system with moving passenger cabins
Author(s) -
Knawa Marta,
Bryja Danuta
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700841
Subject(s) - rope , nonlinear system , vibration , plane (geometry) , structural engineering , deformation (meteorology) , mechanics , engineering , physics , mathematics , geometry , acoustics , quantum mechanics , meteorology
The dynamic continuous model of a carrying rope for circulating bicable aerial ropeway is formulated. To describe nonlinear in‐plane vibrations excited by moving masses of passenger cabins a closed form model with Green‐Lagrange deformation is developed. The equations of motion of the system are derived on the basis of Lagrange equations with Ritz approximation of cable displacements applied. Numerical example of linear and nonlinear cable vibrations is presented. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)