Response Analysis Of Nonlinear Compound Random Vibration Of The High-speed Elevator

Because of its high speed,High-speed elevator will inevitably bring the problem of strong vibration,so the vibration response analysis of High-speed-elevator plays an important role in all aspects of design,manufacture and installation.Because of the elevator car’s errors which inevitably exist in the process of manufacturing and installation,as well as the rail irregularity random degree,vibration of the elevator car is affected by these reasons,so the traditional deterministic structural dynamics analysis methods can’t meet the requirements of analysis.On the other hand,as an important part of the elevator guide system,the guide roller material and the contact form between the roller and the guide rail lead to the nonlinear constitutive model.Therefore,considering the random factors,carry out the nonlinear analysis method to establish a more close to the actual situation of the High-speed-elevator response composite random vibration,and vibration of the High-speed-elevator theory has important significance.First of all,considering the randomness of the system parameters under High-speed-elevator 4 DOF vibration model,according to the random perturbation determined part and stochastic part expression theory we get the acceleration response;the expression of the sensitivity of each random parameter to the acceleration response is derived by solving the stochastic response and comparing the parameters of each parameter;according to the displacement response covariance matrix and the random parameter covariance matrix is derived and the standard deviation of the acceleration response characteristics analysis.This method can be used to find out the influence law of random parameters on the vibration acceleration response,and analyze the influence degree of each parameter on the response.Secondly,the rail irregularity model with two sets of random parameters is established for the mounting form and surface roughness of the guide rail;the random excitation of the model is integrated into the random parameter vibration system of high-speed elevator to construct a composite random vibration model;the quadratic polynomial approximation method is used to solve the composite random vibration mean response of the high-speed elevator and use the complex Cotes integral fine integral method to calculate its standard deviation.In this paper,the horizontal vibration response is analyzed according to the variability of the parameters and the degree of irregularity of the guide rail,and the mechanism of the stochastic factors on the response is explored from the perspective of response mean,standard deviation and coefficient of variation.Thirdly,according to the material characteristics of the high-speed elevator rolling guide shoe and the cooperation relationship with the guide rail,the nonlinear causes of the restoring force of the top roller and the side roller relative to the guide rail displacement are analyzed;the Hertz contact theory and the Bouc-Wen hysteresis model are used to derive the nonlinear relationship between the displacement and the restoring force,and then,the nonlinear constitutive model of rolling guide shoe is established by combining them;according to the simulation experiment,the influence of the energy loss in the hysteresis model on the discrete degree of the random restoring force is proved.Finally,the random excitation of the guide rail is added to the restoring force-displacement relation in the nonlinear force constitutive model of the rolling guide shoe as the force term of the vibration differential equation to construct the nonlinear composite vibration system model of the high speed elevator;the nonlinear differential equation of implicit differential dynamic terms is numerically solved by using Simulink module kit;the mean and standard deviation of the response were studied by using the least square method to evaluate the original nonlinear system and then using the composite random vibration response analysis method;in this paper,the acceleration A95 values at the car observation points at 4m/s and 7m/s were compared,and the accuracy of the model was verified by comparing the measured data.