| Elevator guide shoe is used to connect car system and rail. It has the advantage of vibration isolation and vibration absorption. At the same time, in the course of elevator running, it transfers the surface unevenness of rail, which is caused by manufacturing and installing, to car system. So it causes the horizontal vibration of car system. In the modeling and analysis of elevator horizontal vibration, scholars tend to model guide shoe as linear spring-damping component and ignore non-linear factors. In fact, there is non-linear hysteresis friction between guide shoe and rail. This paper adopts Bouc-Wen model to model the non-linear friction between guide shoe and rail through experiment method.It has big difficulties in Bouc-Wen model parameter identification for it's differential non-linear expression. Through mathematical transform, this paper uses the un-sensitiveness of some parameter of Bouc-Wen model to transfer the non-linear parameter identification problem into linear parameter identification problem. This simplify the problem much and the effect of parameter identification is also satisfies the requirement.Base on the model of friction force between guide shoe and rail, this paper build horizontal vibration dynamic model of coupled car and rail. This model takes car system as rigid body with two degrees of freedom. This model takes guide shoe as mass-spring-damping component. At the same time, it takes non-linear friction force between guide shoe and rail and the incontinuous contact between guide pad and rail into consideration.After building horizontal vibration dynamic model about coupled car and rail, this paper built relevant simulation model in Matlab/Simulink and carried out several simulation analysis in different rail unevenness excitation (bend, triangular and step). These analysis have guidance and reference significance to structure optimization design and dynamic modeling and analysis of elevator. |
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