An analytical wave solution for the vibrational response and energy of an axially translating string in any propagation cycle

He, Yuteng; Chen, Enwei; Zhu, Weidong; Ferguson, N.S.; Wu, Yuanfeng; Lu, Yimin

doi:10.1016/j.ymssp.2022.109507

Cited by 5 publications

(1 citation statement)

References 30 publications

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“…The designed boundary controller can achieve the convergence of the controlled system and ensure the stability of the controlled system. The boundary controllers are also used to control the vibrations of the axially moving strings [14][15][16]. Cheng et al [14] introduced the fractional PI boundary damping to construct a closed-loop system.…”

Section: Introductionmentioning

confidence: 99%

A time-varying string length method for a suppression string vibration

Wang

Liu

2023

2022 Workshop on Electronics Communication Engineering

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Strings are often used to increase the strength of the structures, such as stay cables in bridges. The string vibrations can affect the stability of the structure. In this paper, a method of a suppressing multi-order string resonance by controlling the length of the string to be continuously time-varying is proposed. The model of the time-varying length string is given. The vibration responses of the timevarying length string are solved by the finite difference method. The suppression effect of the time-varying string length method on the free vibrations and forced vibrations is analyzed. The results show that the controlling of the time-varying length of the string can effectively weaken the free vibration peaks and the forced vibration peaks of the string. It can suppress the multi-order resonance.

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