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Mathematical modelling and computer simulation of nonlinear behaviour of a hoisting cable system
A hoisting installation represents a multi-body system deployed to provide vertical transportation. Vibration phenomena taking place in hoist installations may influence their dynamic performance. In particular lateral and longitudinal vibrations of suspension cables may result in an adverse dynamic behaviour of the entire installation. The aim of this paper is to develop a multibody dynamics model of a hoisting cable system in order to predict its nonlinear behaviour. The model comprises an aramid suspension cable, a sheave/ pulley assembly and a rigid suspended mass. The dynamic response of the model is described by a set of nonlinear partial differential equations which is treated using the Galerkin method and numerical integration. Subsequently, an ADAMS simulation model has been used to validate the theoretical model. A laboratory system has also been developed and experimental tests have been conducted to identify the dynamic characteristics and to quantify the response of the system. It is shown that the numerical solutions are in good agreement with the ADAMS simulation results and with the results of experimental tests. Subsequently a suitable vibration control can be sought to mitigate the effects of nonlinear interactions taking place in the system.