Analysis of Transverse Vibration Acceleration of a High-Speed Elevator with Random Parameters under Random Excitation

Qing Zhang,Yuhu Yang

doi:10.3311/ppme.9013

Abstract

The randomness of a high-speed elevator car system’s parameters was caused by manufacturing and installation error. In order to more accurately evaluate the dynamic behavior of the elevator car, the compound vibration problems containing both random excitation and random parameters were studied. The deterministic part and random part of the acceleration response were derived by the perturbation theory, and the vibration image in the time domain and frequency domain were analyzed. The sensitivity expressions of each parameter to the system response were established in the random vibration system. The acceleration standard deviation due to random excitation was calculated by the pseudo excitation method. The acceleration standard deviation due to the random parameters was obtained according to the displacement response covariance matrix and random parameters covariance matrix. The discrete degree of random excitation and random parameters on the transverse acceleration of the car was analyzed in an example, and the influence degree of each parameter on acceleration responses was quantitatively described by calculating the response sensitivity of random parameters. This paper provides an effective method for the analysis of the vibration characteristics of the high speed elevator car system.

Highlights

In modern society, there are more and more high-rise buildings
The transverse vibration acceleration that is generated by the random excitation and random parameters has become a major factor affecting the ride comfort of the elevator
Chang et al [2] established a four degree-of-freedom elevator system to study the excitation characteristics and the car dynamic response, and developed an active mass driver based on H∞ direct output feedback control algorithm

Summary

Introduction

There are more and more high-rise buildings. As an essential means of transport in high-rise buildings, elevators have become faster, and the proportion of high-speed elevator (the speed ≥2.5m/s) has increased year by year. The study of dynamic response of the random parameter structure under random excitation is important for suppression of a vibration of elevator car, reliability sensitivity analysis, and safety assessment. The standard deviation of the acceleration response of the system was solved by establishing the displacement response covariance matrix and random parameters covariance matrix and combining with the pseudo excitation method. The transverse vibration dynamic response of the car system is discussed by using the random perturbation method [9,10,11,12] Since this system has ma, ja, mb, jb, k1, k2, c1, c2, l1, l2, l3 and l4 a total of 12 random parameters, the mass matrix M, damping matrix C , and stiffness matrix K in the differential equations of motion have randomness, and the following transformation is needed:.

The calculation of the high-speed elevator car

Findings

Analysis of the Observation Point’s Mean and Standard Deviation