Research On Lateral Vibration Characteristics Of High Speed Traction Elevator Hoisting Rope

With the acceleration of modernization and the continuous improvement of the city's vertical transportation capacity,high-speed and large-stroke elevators have become the development trend of high-rise buildings,but high-speed and large-stroke elevators are prone to vibration and noise problems,thereby reducing the elevator's comfort and safety.The lateral vibration of the hoisting traction rope is the main factor affecting the vibration of the hoisting system.Therefore,studying the lateral vibration of the traction rope has an important role in improving the comfort and safety of the elevator.In this paper,the combination of theory and simulation analysis is used to study the lateral vibration characteristics of high-speed traction elevator hoisting traction rope.First of all,the high-speed traction elevator is simplified in combination with the structural characteristics and working principles of the high-speed traction elevator.Considering the effect of the weight and preload of the compensation rope,the hoisting traction rope is simplified into a variable-length chord in axial movement.A high-speed traction elevator is used to improve the lateral vibration model of the traction rope.Combining the energy method and the Hamilton principle,a control equation for the lateral vibration of the hoisting rope of the high-speed traction elevator is constructed.In order to solve the problem that the equation cannot be solved analytically,the Galerkin method is used to discretize the partial differential equations of the lateral vibration of the hoisting traction rope,and convert the infinite-dimensional partial differential equations into finite-dimensional ordinary differential equations.In order to fit the ideal elevator running state curve,the fifth degree polynomial fitting method is adopted.Newmark-? method is used to solve the lateral vibration equation of the hoisting traction rope of the converted high-speed traction elevator.Secondly,using the fitted traction elevator running state curve as input,the Matlab software was used to simulate and analyze the differential equation of the lateral vibration of the high-speed traction elevator hoisting rope.The influence of single traction rope lifting quality,traction rope linear density,distributed damping and preload on the lateral vibration response of the hoisting rope is analyzed.The analysis shows that increasing the damping can reduce the lateral vibration response of the hoisting traction rope,so the distributed damping has a negative correlation with the lateral vibration response of the hoisting traction rope;Increase the lifting mass,linear density and pretension of a single traction rope,and increase the lateral vibration strength of the traction rope,so the lifting quality,linear density,pretension and lifting traction of a single traction rope The transverse vibration response of the rope is positively correlated.Finally,considering the influence of airflow,the influence of airflow is reduced to the lateral force acting on the hoisting traction rope.The formulas of lateral stiffness,minimum stiffness position and minimum stiffness value of hoisting traction rope are derived from the force analysis and energy method.In order to verify the correctness of the formula,the calculation results are compared with the classic calculation formula of lateral stiffness.The Matlab software was used to simulate and analyze the factors affecting the minimum stiffness position and the minimum stiffness value.The analysis shows that the minimum stiffness value of the hoisting traction rope increases with the increase of the tensioning force on the hoisting traction rope,which has a positive correlation;The minimum stiffness value of the hoisting traction rope decreases with the increase of the hoisting length of the traction rope,showing a negative correlation.As the tensioning force of the hoisting traction rope increases,the position of the minimum stiffness will gradually approach the lower position of the middle of the hoisting traction rope.The reason why the influence of self-weight gradually weakens;Under different hoisting rope lengths,the minimum stiffness position is not in the middle of the hoisting rope,but in the middle of the lower position.