Abstract
Traction systems are a good choice for high-rise lift systems, especially in deep wells. With increasing lift depth and weight, rope-guided traction systems have become an essential design methodology in the mine lift field. In this paper, a comprehensive mathematical model is established to simulate the dynamical responses of a rope-guided traction system with different terminal tensions acting on the compensating rope. The results and analysis presented in this paper reveal dynamical responses in terms of longitudinal and transverse vibration. Additionally, a wide range of resonances occurs in the target system. Differences in the dynamical responses between a traditional traction system and tensioned traction system are analysed in detail. Through comparison and analysis, it is determined that terminal tension plays an important role in the suppression of longitudinal vibration in a system. However, changes in the amplitude of longitudinal vibration are independent of terminal tension, which only affects longitudinal elastic elongation and does not affect the basic shape of longitudinal and transverse vibrations. Based on this analysis, it can be concluded that longitudinal vibration suppression can be achieved by applying proper tension on the compensating rope to ensure that it reaches a tensioning state. Continuing to increase terminal tension is not beneficial for the vibration suppression of a system. The results presented in this paper will serve as a valuable guide for the design and optimisation of traction systems.
Highlights
Because of their ability to resist relatively large axial loads, ropes have been widely applied in lift systems, such as mobile cranes [1], elevators [2], and mine lifts [3]
Traditional traction systems consist of five main components: a drum, lifting rope, rigid guides, conveyance, and compensating rope. e dynamical responses of traditional lift systems have been thoroughly studied by many scholars
Wang [11] established a longitudinal vibration model based on the Lagrange equation for a parallel lift system with a tension auto-balance device (TABD) attached to the ends of all lifting ropes. e results revealed that for a parallel lifting system with a TABD attached to the ends of all lifting ropes, conveyance provides the main excitation that affects the longitudinal vibration of the ropes
Summary
Because of their ability to resist relatively large axial loads, ropes have been widely applied in lift systems, such as mobile cranes [1], elevators [2], and mine lifts [3]. Bao et al [9] established a dynamic model for elevator lift systems based on the Hamilton principle and analysed the influence of different system parameters on transverse and longitudinal vibrations, as well as the energy characteristics of longitudinal and transverse vibrations, which were verified experimentally. Wang [11] established a longitudinal vibration model based on the Lagrange equation for a parallel lift system with a tension auto-balance device (TABD) attached to the ends of all lifting ropes. Is paper extends the analysis presented in previous publications to develop a comprehensive mathematical model for rope-guided traction systems to analyse the dynamical behaviours of the lifting rope, compensating rope, guiding rope, and conveyance. A rst-order Lagrange equation is used to derive a mathematical model. e complex constraint conditions between the conveyance and ropes are derived using a condensational method. e results will serve as a helpful guide for the design and optimisation of traction systems, especially in the prediction of resonance zones and suppression of longitudinal vibrations
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