The transverse vibration of a winding hoist system’s hanging rope is the main evaluating index for multi-layer winding wire rope orderly arrangement and engineering safety.In order to study transverse vibration response of hanging rope under excitations of different types rope grooves, the vibration equation of the hoisting system’s hanging rope was established with Hamilton principle, excitation functions of different types rope grooves were deduced, the vibration equation was discretized using Galerkin method.The operational state curve of a certain Blair rope hoisting test platform was taken as the imported motion parameter to analyze lateral vibration responses of the hanging rope under excitations of different types rope grooves.The hanging rope’s transverse vibrations were recorded with a high speed camera, and an effective image-processing method was proposed to obtain time history figures of transverse vibration responses of the rope’s fixed point.The results of the theoretical model’s numerical simulation were compared with the test ones, it was shown that the hanging rope’s transverse vibrations under excitations of symmetric grooves are larger than those under excitations of non-symmetric grooves; the changing trend of actually measured curves of the rope’s transverse vibrations is consistent to that of the numerical simulation curves, the actually measured vibration frequencies are close to the calculated vibration ones, so the transverse vibration model established here for the hanging rope is effective, it provides a reliable theoretical basis for grooves types choosing of extremely deep well hoisting systems.
Key words
boundary conditions /
transverse vibration /
high-speed camera /
picture processing
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