Wave boundary control method for vibration suppression of large net structures

Zuo, Shilei; Yang, Liu; Zhang, Kai; Hu, Gengkai

doi:10.1007/s00707-019-02464-1

Cited by 5 publications

(2 citation statements)

References 39 publications

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“…In this method, the structure is divided into several periodic elements to save computational cost. In their following work (Liu et al, 2018; Zuo et al, 2019), they applied wave-based boundary controllers onto the boundaries to resist vibration. Habibi and O’Connor developed a wave-based control technique for the planar motion of beam-like mass–spring arrays that has led to rapid active vibration damping with zero steady-state error (Habibi and O’Connor, 2019).…”

Section: Introductionmentioning

confidence: 99%

A simple wave/power flow analysis method for vibration control of large cable-frame structures

Tang

Wang²,

Zhou³

et al. 2021

Journal of Vibration and Control

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A cable-frame structure typically has low damping and a low fundamental frequency and is modally rich. It is likely to generate sustained vibration when disturbed. Unwanted vibration of such a structure must be caught and controlled to ensure its structural safety and design performance. To overcome the disadvantages of high frequency distortion and modal truncation arising from modal control methods, wave control methods have been suggested. However, they generally involve establishing and solving numerous wave equations, an expensive procedure that may make the vibration control for large and/or complex structures inefficient or even impractical. This study presents a simple analytical approach for the vibration control of large cable-frame structures. The approach is divided into two stages. First, the exact frequency-domain solution is obtained by a dynamic stiffness method in which the infinite degrees of freedom of each flexible component are reduced into only several degrees of freedom at its two endpoints. Second, formulas for calculating the local wave and power flow are deduced based on the global exact solution so that the local wave control information can be extracted from the global response solution. Using this approach, the dynamic response and wave and power flow analysis are carried out for two typical cable-frame structures, leading us to suggest several control measures for suppressing vibration. The approach, if proven to be effective, can be readily applied to vibration control of large cable-frame structures.

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Section: Introductionmentioning

confidence: 99%

A simple wave/power flow analysis method for vibration control of large cable-frame structures

Tang

Wang²,

Zhou³

et al. 2021

Journal of Vibration and Control

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“…The reconstruction of forces generated by multiple impacts occurring in linear elastic structures has been considered in [25] in which, in addition, statistical methods have been involved. The wave boundary control method of large net structures was considered by Zuo et al [40]. In this article a net structure was modeled as a set of intersecting orthogonal strings, described by 1D wave equations.…”

Section: Introductionmentioning

confidence: 99%

Wave cancellation conditions for the double impact of finite duration in an arbitrary structure

Konyukhov

2020

Acta Mech

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Resonance phenomena in impacting systems can be defined as an amplitude increasing during periodically applied impacts. The wave cancellation phenomenon is defined as application of certain conditions to cancel the wave fully. The double impact system is defined as the application of the first impact with a certain duration τ and then the application of a counter impact in a certain time τ 1 such that the vibrations caused by the first impact are fully disappearing. In the current contribution this phenomenon is first studied for the simplest 1D bar vibration. The response function is introduced as a characteristic for such a phenomenon and, by studying its properties, it is possible to find both an impact duration time τ and an application time τ 1 for the counter impact leading to the wave cancellation. The result is generalized for any arbitrary homogeneous linear non-dissipative mechanical structure described by a semi-elliptic operator Lu. The counter impact can be determined in the same way as in the opposite direction. This general result is numerically illustrated for various operators Lu possessing relatively simple analytical solutions: for a simply supported and a clamped Bernoulli beam, for a fixed membrane and for a Kirchhoff plate. Three potential applications are discussed at the end: a set of verification examples for further analysis of time integration numerical schemes with the energy conservation property; straightforward transfer of cancellation conditions for the double impact to any convenient numerical method in mechanics, e.g. finite element method, iso-geometric method etc.; application of the result in engineering design of impacting devices (hammering etc.) in order to prevent recoil.

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Adaptive attitude maneuver control for satellite with large scale antenna in space thermal environment

Meng

Liu

2022

Advances in Space Research

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Wave boundary control method for vibration suppression of large net structures

Cited by 5 publications

References 39 publications

A simple wave/power flow analysis method for vibration control of large cable-frame structures

A simple wave/power flow analysis method for vibration control of large cable-frame structures

Wave cancellation conditions for the double impact of finite duration in an arbitrary structure

Adaptive attitude maneuver control for satellite with large scale antenna in space thermal environment

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