Paper Title:

Non-Linear Modal Interactions in a Suspension Rope System with Time-Varying Length

Periodical Applied Mechanics and Materials (Volumes 5 - 6)
Main Theme Modern Practice in Stress and Vibration Analysis VI
Edited by Patrick Sean Keogh
Pages 217-224
DOI 10.4028/
Citation Rodanthi Salamaliki-Simpson et al., 2006, Applied Mechanics and Materials, 5-6, 217
Online since October 2006
Authors Rodanthi Salamaliki-Simpson, Stefan Kaczmarczyk, Phil Picton, Scott Turner
Keywords Autoparametric Resonance, Modal Interactions, Nonlinear Coupling, Nonlinear System, Suspension Rope, Time-Varying Length
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This paper focuses on the investigation of the autoparametric coupling effects and modal interactions in a suspension rope system with a time varying length. Equations of motion of a multi-degree-of-freedom discrete, non-stationary and non-linear model are presented and are used to analyze the dynamic response of an elevator suspension rope system under resonance conditions. The equations of motion involve quadratic and cubic non-linear terms which are responsible for the modal interaction between the lateral and longitudinal oscillations of the rope and the car motions. The model takes into account the periodic excitations caused by motion of the host structure. The results confirm that adverse responses may arise and internal autoparametric resonance phenomena may occur.