## Abstract

A non-stationary distributed model of the longitudinal vibration of a lift system that includes the dynamics of the drive machine is developed. The non-stationary character of the system is due to the time-varying length of the suspension cables. The input to the system is the machine torque and the output is the displacement of any point of either the car- or the counterweight-side. A mathematical model of the system is formulated in terms of partial differential equations. The overall dynamics is divided into two problems: the one concerning the axial movement of the system as an undeformed body, which is caused by the machine torque, and the other one concerning the vibration of the cables with respect to a frame fixed to the undeformed body and moving axially with it. Subsequently, a spatial discretisation procedure is applied to formulate a discrete mathematical model. The parameters of a particular lift installation are taken into account. They include an experimentally measured torque acted upon the system. The model is solved numerically and the results of computer simulation are compared with the experimentally measured response.

Original language | English |
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Title of host publication | Proceedings of the 2nd International Conference on Experiments/Process/System Modelling/Simulation & Optimization |

Place of Publication | Athens, Greece |

Publisher | University of Patras |

ISBN (Print) | 9605300907 |

Publication status | Published - 7 Jul 2007 |

Event | 2nd International Conference on Experiments/Process/System Modelling/Simulation & Optimization - Athens, Greece Duration: 4 Jul 2007 → 7 Jul 2007 http://www.epsmso.gr/2007/default.htm |

### Conference

Conference | 2nd International Conference on Experiments/Process/System Modelling/Simulation & Optimization |
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Country/Territory | Greece |

City | Athens |

Period | 4/07/07 → 7/07/07 |

Internet address |