“…In all cases, useful, and sometimes decisive, may be an increase in the damping properties of the dynamic system. With regard to the passenger elevator, we note the importance of the damping properties of the system in resonant zones, even if there is only a danger of passing through resonance at a certain number of storeys of buildings [3,7,8,9,12,13]. Especially we can say about high-speed elevators in high-rise buildings: there are noticeable fluctuations in the elevator car not only in the vertical plane, but also in the horizontal plane.…”