Optimal vibration control of moving-mass beam systems with uncertainty

Liu, Huan; Wang, Yuansheng; Ren, Xiaobin

doi:10.1177/1461348419844150

Cited by 7 publications

(3 citation statements)

References 18 publications

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“…Indeed, many control strategies for nonlinear structures were put forward so far, which are subdivided into mathematical model-based control schemes (Zhu et al, 2000;Li et al, 2011a;Liu et al, 2020;Ikhouane et al, 2005) and machine learning-based control schemes (Kim and Lee, 2001;Chen, 2009). The optimal control treatment of nonlinear structures is a generic control strategy in the class of mathematical model-based control schemes.…”

Section: Introductionmentioning

confidence: 99%

“…An experimental study of the PDEM application for reliability-based active vibration control of a cantilevered flexible beam was carried out, which offers a cost-effective solution for active vibration control by reducing operating costs while maintaining system safety (Saraygord Afshari and Pourtakdoust, 2018). Liu et al designed a linear optimal regulator for uncertain systems deploying the PDEM, which aimed to accurately reflect the law of probability density functions of the output responses of the controlled beam-moving mass systems varying with time (Liu et al, 2020).…”

Section: Introductionmentioning

confidence: 99%

“…Liu et al . designed a linear optimal regulator for uncertain systems deploying the PDEM, which aimed to accurately reflect the law of probability density functions of the output responses of the controlled beam-moving mass systems varying with time (Liu et al. , 2020).…”

Section: Introductionmentioning

confidence: 99%

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Multiscale stochastic optimal control of hysteretic structures based on wavelet transform and probability density evolution method

Chha,

Peng

2024

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PurposeContemporary stochastic optimal control by synergy of the probability density evolution method (PDEM) and conventional optimal controller exhibits less capability to guarantee economical energy consumption versus control efficacy when non-stationary stochastic excitations drive hysteretic structures. In this regard, a novel multiscale stochastic optimal controller is invented based on the wavelet transform and the PDEM.Design/methodology/approachFor a representative point, a conventional control law is decomposed into sub-control laws by deploying the multiresolution analysis. Then, the sub-control laws are classified into two generic control laws using resonant and non-resonant bands. Both frequency bands are established by employing actual natural frequency(ies) of structure, making computed efforts depend on actual structural properties and time-frequency effect of non-stationary stochastic excitations. Gain matrices in both bands are then acquired by a probabilistic criterion pertaining to system second-order statistics assessment. A multi-degree-of-freedom hysteretic structure driven by non-stationary and non-Gaussian stochastic ground accelerations is numerically studied, in which three distortion scenarios describing uncertainties in structural properties are considered.FindingsTime-frequency-dependent gain matrices sophisticatedly address non-stationary stochastic excitations, providing efficient ways to independently suppress vibrations between resonant and non-resonant bands. Wavelet level, natural frequency(ies), and ratio of control forces in both bands influence the scheme’s outcomes. Presented approach outperforms existing approach in ensuring trade-off under uncertainty and randomness in system and excitations.Originality/valuePresented control law generates control efforts relying upon resonant and non-resonant bands, and deploys actual structural properties. Cost-function weights and probabilistic criterion are promisingly developed, achieving cost-effectiveness of energy demand versus controlled structural performance.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Multiscale stochastic optimal control of hysteretic structures based on wavelet transform and probability density evolution method

Chha,

Peng

2024

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Numerical and experimental investigations into feedback control of continuous beam structures under moving loads

2021

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Moving mass over a viscoelastic system: asymptotic behaviours and insights into nonlinear dynamics

et al. 2023

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Moving masses are of interest in many applications of structural dynamics, soliciting in the last decades a vast debate in the scientific literature. However, despite the attention devoted to the subject, to the best of the authors’ knowledge, there is a lack of analysis about the fate of a movable mass when it rolls or slips with friction on a structure. With the aim of elucidating the dynamics of the simplest paradigm of this system and to investigate its asymptotic response, we make reference to a two-degree-of-freedom model made of an elastically vibrating carriage surmounted by a spherical mass, facing the problem both theoretically and experimentally. In case of linear systems, the analytical solutions and the laboratory tests performed on ad hoc constructed prototypes highlighted a counterintuitive asymptotic dynamics, here called binary: in the absence of friction at the interface of the bodies’ system, the mass holds its initial position or, if nonzero damping acts, at the end of the motion it is in a position that exactly recovers the initial relative distance carriage–sphere. While the first result might be somewhat obvious, the second appears rather surprising. Such a binary behaviour is also confirmed for a Duffing-like system, equipped with cubic springs, while it can be lost when non-smooth friction phenomena occur, as well as in the case of elastic springs restraining the motion of the sphere. The obtained analytical results and the numerical findings, also confirmed by experimental evidences, contribute to the basic understanding of the role played by the damping parameters governing the systems’ dynamics with respect to its asymptotic behaviour and could pave the way for designing active or passive vibration controllers of interest in engineering.

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Optimal vibration control of moving-mass beam systems with uncertainty

Cited by 7 publications

References 18 publications

Multiscale stochastic optimal control of hysteretic structures based on wavelet transform and probability density evolution method

Multiscale stochastic optimal control of hysteretic structures based on wavelet transform and probability density evolution method

Numerical and experimental investigations into feedback control of continuous beam structures under moving loads

Moving mass over a viscoelastic system: asymptotic behaviours and insights into nonlinear dynamics

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