Response analysis of the composite random vibration of a high-speed elevator considering the nonlinearity of guide shoe

Abstract

As a result of unevenness (or non-uniformity) of elevator guide rails, an elevator car experiences horizontal vibration in the vertical motion of an elevator run. To improve the accuracy of the car vibration model and analyze the influence of uncertainty factors on the vibration response, the nonlinear characteristics of rolling guide shoes, randomness of car parameters, and random excitation of guide rails need to be considered. Based on the Hertz contact theory, the functional relationship between the amount of deformation of rolling guide shoes and restoring force was derived, and a nonlinear model of rolling guide shoes was established. The average responses of the composite random vibration of a high-speed elevator were determined by the orthogonal polynomial approximation method, and the standard deviations were determined by the complex Cotes integration method. With a two-degree-of-freedom high-speed elevator car system as the research object, the horizontal vibration responses were analyzed under the condition of variation of parameters and the irregularity of the guide rails. The results showed that the variation of parameters mainly affected the dispersion extent of the horizontal vibration responses of the car, and the irregularity of the guide rails mainly affected the amplitude of the vibration responses. This study provided an effective method for analyzing composite random vibration responses of a high-speed elevator car system, and provided a reference for anti-vibration design and safety assessment.