Research on Transverse Vibration of Hoisting Vertical Rope

Abstract

By analysing the source of vibration of the main rope, and deriving the excitation function of the head sheave and the cage guides, a physical model of the vibration of the main rope is established. The generalized Hamilton principle is used to establish the transverse and longitudinal coupled vibration equation of the main rope. Considering the influence of rigid cage guides and head sheaves excitation on the main rope vibration, the main rope vibration control equation is discretized and solved based on the Galerkin truncation method to obtain the main rope transverse vibration displacement curve. At the same time, the machine vision image matching method is used to realize the measurement of the transverse vibration of the vertical rope, and the pixel coordinates of the target are converted into actual physical coordinates through coordinate conversion, thereby calculating the transverse vibration displacement of the vertical rope. Finally, the results of comparison experiments show that the above matching algorithm has strong practicability for measuring the transverse vibration of the hoisting main rope.