A simulation model of the vertical dynamics of an elevator system

Xabier Arrasate, Stefan Kaczmarczyk, Jose M Abete

Research output: Contribution to Book/ReportConference Contribution


The drive system is a key component of an elevator installation that supplies energy into the system, coupling the car-rope and the counterweight-rope subsystems. However, it often becomes a source of excitation that is responsible for vibrations that compromise the car ride quality. In this paper a non-stationary distributed-parameter model describing vertical dynamics of an elevator system that accommodates the drive machine, the car, the counterweight and the suspension ropes has been developed. The model is used to analyze the influence of the drive machine on the elevator system performance. The dynamic behaviour is described by a set of partial differential equations. Those are discretized by expanding the vertical displacements in terms of the linear mode shapes to obtain a set of ordinary differential equations. The mode shapes correspond to a system composed of three masses constrained by a suspension rope. The discrete model is then solved numerically in Matlab-Simulink using parameters of a real installation. The numerical simulation results predict transient resonance phenomena in the system.
Original languageEnglish
Title of host publicationProceedings of the Symposium on the Mechanics of Slender Structure (MoSS 2010)
Number of pages10
Publication statusPublished - 24 Jul 2010
EventSymposium on the Mechanics of Slender Structures (MoSS 2010) - University of Mondragon, San Sebastian, Spain
Duration: 21 Jul 201023 Jul 2010


ConferenceSymposium on the Mechanics of Slender Structures (MoSS 2010)
CitySan Sebastian


  • Elevator system
  • Vertical vibration
  • Non-stationary distributed model
  • Computer simulation


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