Cable hoisting system in the lifting process due to the hook suddenly jump tongue or breakage will lead to the weight off the hook fall, which will make the load-bearing cable jump vibration, for this kind of multi-span continuous suspension structure of the jump vibration problem, is still to be explored. To this end, the paper firstly based on the principle that the vibration law of single-span cable with time change is the same as that of multi-span continuous cable, the load-bearing cable is cut into several single-span cable structures at the supporting place, so as to establish the vibration differential equations of each single-span cable structure, and then the characteristic equations of the load-bearing cable containing the intrinsic frequency and the shape function are derived according to the principle of dynamic equilibrium and deformation coordination of the single-span cable structure, and then the initial velocity is constructed by taking the position of decoupling as the initial velocity condition, and the sudden decoupling of the weight is then calculated. Then the sliding-jumping model after sudden decoupling is constructed, and the main vibration and free vibration modes of the load-bearing cables are established, and finally analyzed by combining with the cable hoisting system used in the construction of Meixi River Bridge. The results show that: after the weight decoupling, the frequency and amplitude of the load-bearing cable in the first 3 cycles gradually decrease with the increase of time, thus generating the jumping vibration, and the frequency of the load-bearing cable starts to stabilize later, and the 1st-order vibration waveform plays a dominant role, and all points are simple harmonic vibration with the same attitude; the change of the lifting weight doesn't change the form of the load-bearing cable's nonlinear motion, but it will obviously affect the nonlinear vibration frequency and amplitude. Through the analysis of the main vibration characteristics of the change rule, found that the most unfavorable decoupling position of the cable hoist system is located in the tenth point, the second point and the fourth point.
Key words
cable hoisting system /
decoupling /
multi-span continuous cables /
main vibration /
jumping vibration
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Footnotes
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