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<p>This study proposes a novel active control strategy for high-rise elevator systems that, for the first time, simultaneously suppresses seismic-induced vibrations in both the hoisting and compensation ropes without altering rope tension. The coupled building–rope system exhibits inherently nonlinear dynamic behavior due to distributed parameter effects, time-varying boundary conditions, and strong interactions with seismic excitations. To address this challenge, a Lyapunov-based nonlinear control law is developed, and its stability is rigorously proven under four distinct operating regimes (stationary/moving, with/without external excitation). The nonlinear vibration responses are investigated through numerical simulations using multiple real earthquake records, highlighting the robustness of the proposed method across broadband seismic inputs. Results show that the controller achieves up to 55.79% displacement reduction for the compensation rope and 53.45% for the hoisting rope while preserving nominal tension. These findings demonstrate the effectiveness of nonlinear active control in mitigating complex rope oscillations, offering new insights into the nonlinear dynamics of elevator systems under extreme loading conditions.</p>

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Active control for simultaneous vibration reduction of ropes in high-rise elevator systems under seismic excitation

  • 期刊论文

  • 发表日期：

    2026年1月15日

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  • Xuan-Thuan Nguyen,
  • Huy-Anh Bui,
  • Hoang-Hiep Ly,
  • Long-Hung Tran,
  • Thi-Thoa Mac

摘要

This study proposes a novel active control strategy for high-rise elevator systems that, for the first time, simultaneously suppresses seismic-induced vibrations in both the hoisting and compensation ropes without altering rope tension. The coupled building–rope system exhibits inherently nonlinear dynamic behavior due to distributed parameter effects, time-varying boundary conditions, and strong interactions with seismic excitations. To address this challenge, a Lyapunov-based nonlinear control law is developed, and its stability is rigorously proven under four distinct operating regimes (stationary/moving, with/without external excitation). The nonlinear vibration responses are investigated through numerical simulations using multiple real earthquake records, highlighting the robustness of the proposed method across broadband seismic inputs. Results show that the controller achieves up to 55.79% displacement reduction for the compensation rope and 53.45% for the hoisting rope while preserving nominal tension. These findings demonstrate the effectiveness of nonlinear active control in mitigating complex rope oscillations, offering new insights into the nonlinear dynamics of elevator systems under extreme loading conditions.