Work

Nonlinear Vibration Control of a High-Dimensional Nonlinear Dynamic System of an Axially-Deploying Elevator Cable

Year: 2025

Type: article

Abstract: For the first time, a numerical study is presented to demonstrate the importance of high-dimensional nonlinear dynamic systems of axially-deploying elevator cables in the nonlinear vibration and control of such time-varying-length structures, especially under the condition of external disturbance. Firstly, a multi-dimensional nonlinear dynamic system of an axially-deploying elevator cable is established using Hamilton’s principle and the Galerkin method, and a large-amplitude vibration of the system is specified. Then, the established nonlinear dynamic system of the elevator cable is extended to account for external disturbance. Furthermore, an adapted fuzzy sliding mode control strategy is applied to suppress the specified vibration in the nonlinear dynamic system involving external disturbance. From numerical simulations, it is discovered that different dimensions are required for nonlinear vibration and control of axially-deploying elevator cables. The study provides guidance on nonlinear vibration and control of axially-deploying elevator cables in high-dimensional nonlinear dynamic systems.

Source: Mathematics

DOI: 10.3390/math13081289

Authors: Lin Sun, Feilong Hou, Xiaopei Liu

Institution: Liaoning Shihua University

Language: English

Topic: Vibration and Dynamic Analysis

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: National Natural Science Foundation of China