Modelling and simulation of an Aramid rope system

A paper on rope system modelling, simulation and experimental validation is to be published at the 11th International Conference on Vibration Problems, Lisbon, Portugal, 9-12 September 2013

S. Kaczmarczyk, S. Mirhadizadeh, P. Picton, R. Salamaliki-Simpson, S. Turner
School of Science and Technology, The University of Northampton, UK 

Vibration phenomena taking place in lifting and hoist installations may influence the dynamic performance of their components. For example, in an elevator system they may affect ride quality of a lift car. Lateral and longitudinal vibrations of suspension ropes and compensating cables may result in an adverse dynamic behaviour of the entire installation. Thus, there is a need to develop reliable mathematical and computer simulation models to predict the dynamic behaviour of suspension rope and compensating cable systems. The aim of this paper is to develop a model of an aramid suspension rope system in order to predict nonlinear modal interactions taking place in the installation. A laboratory model comprising an aramid suspension rope, a sheave/ pulley assembly and a rigid suspended mass has been studied. Experimental tests have been conducted to identify modal nonlinear couplings in the system. The dynamic behaviour of the model has been described by a set of nonlinear partial differential equations. The equations have been solved numerically. The numerical results have been validated by experimental tests. It has been shown that the nonlinear couplings may lead to adverse modal interactions in the system. 

[1] R. Salamaliki-Simpson, S. Kaczmarczyk, P. Picton, S. Turner, "Non-linear Modal Interactions in a Suspension Rope System with Time-varying Length", Applied Mechanics and Materials 5-6 (2006) 217-224.
[2] S. Kaczmarczyk, "The Nonstationary, Nonlinear Dynamic Interactions in Slender Continua Deployed in High-rise Vertical Transportation Systems in the Modern Built Environment", Journal of Physics: Conference Series, Vol. 382 012037, doi:10.1088/1742-6596/382/1/012037 (2012).
[3] S. Kaczmarczyk, P. Picton, "The Prediction of Nonlinear Responses and Active Stiffness Control of Moving Slender Continua Subjected to Dynamic Loadings in a Vertical Host Structure", The International Journal of Acoustics and Vibration 18(1) (2013) 39-44. 

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