Elevator cars suffer from vibrations caused by irregularities in the guide system. These irregularities include random imperfections that are responsible for excitation of stochastic nature, resulting in the stochastic response of the car. The present paper focuses on this aspect of the car vibration. The nonstationary equations for the second-order statistical moments are formulated and a model example using the parameters of a typical building elevator installation is presented. It is shown that the weaker the correlation of the rail excitation process the higher the variance of the dynamic displacement of the car.
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