Aiming at the problem of dynamic load impacts on the structure of quayside container crane caused by the coupled vibrations generated during its lifting mechanism operation,a quayside container crane lifting coupled vibration system with variable-length rope is established by considering the coupling among the variable-length wire rope,flexible girder,and trolley pulley system based on absolute nodal coordinate formulation(ANCF)described by arbitrary Lagrangian-Eulerian(ALE)method.The dynamic characteristics of the lifting system under coupled vibrations are analyzed.The vibration response of the girder and the lifting load,and the tension and longitudinal vibration response of the lifting wire rope are obtained during the second stage of the lifting process,which can reflect the coupled vibration response and dynamic load impact characteristics throughout the whole lifting process more completely,and the dynamic lifting coefficient at the maximum outreach of the girder before the quayside container crane is solved.The results show that:the dynamic characteristics of the lifting coupled system are effectively represented by the proposed model,with vibration coupling consistency among its components;the vibration of the girder and the longitudinal vibration peak and amplitude of the wire rope are directly proportional to the changes of lifting acceleration and lifting load.Reducing the stable lifting speed of the quayside container crane is beneficial to reducing the dynamic lifting coefficient.The stable lifting speed should be reasonably selected during the lifting acceleration stage to reduce the maximum dynamic load impact.
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