Analytical investigation of railway overhead contact wire dynamics and comparison with experimental results

Anastasio, Dario; Fasana, Alessandro; Garibaldi, Luigi; Marchesiello, Stefano

doi:10.1016/j.ymssp.2018.06.021

Cited by 21 publications

(11 citation statements)

References 13 publications

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“…The numerical method also indicates that the smaller mesh grids will lead the more accurate results. Different from the previous results, 32,33 the hypothetical infinite actuator and sensors can facilitate that the dominated equation (1) does not need to be discretized and the theoretical analysis has a more rigorous mathematical proof. By applying the similar approach, the infinite-dimensional distributed controller (7) is proposed to stabilize the original PDE model.…”

Section: Problem Descriptionmentioning

confidence: 85%

LMI-based hybrid temporal-spatial differential control design for a class of Euler-Bernoulli beam system

Zhong

Chen

Yuan

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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This paper addresses the problem of active vibration suppression for a class of Euler-Bernoulli beam system. The objective of this paper is to design a hybrid temporal-spatial differential controller, which is involved with the in-domain and boundary actuators, such that the closed-loop system is stable. The Lyapunov’s direct method is employed to derive the sufficient condition, which not only can guarantee the stabilization of system, but also can improve the spatial cooperation of actuators. In the framework of the linear matrix inequalities (LMIs) technology, the gain matrices of hybrid controller can obtained by developing a recursive algorithm. Finally, the effectiveness of the proposed methodology is demonstrated by applying a numerical simulation.

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Section: Problem Descriptionmentioning

confidence: 85%

LMI-based hybrid temporal-spatial differential control design for a class of Euler-Bernoulli beam system

Zhong

Chen

Yuan

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…Stabilization is checked for frequencies, damping ratios, and MACs, and the set of identified modal parameters of the underlying linear system ω, ζ, ψ r�1,...,N is eventually extracted and reported in Table 5 in terms of natural frequencies and damping ratios. e model order for each mode is selected according to the median-damping criterion [23]. e whole process is then repeated with the modified structure, where a change in the mass distribution is considered.…”

Section: Experimental Applicationmentioning

confidence: 99%

Free‐Decay Nonlinear System Identification via Mass‐Change Scheme

Anastasio

Marchesiello

2019

Shock and Vibration

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Methods for nonlinear system identification of structures generally require input-output measured data to estimate the nonlinear model, as a consequence of the noninvariance of the FRFs in nonlinear systems. However, providing a continuous forcing input to the structure may be difficult or impracticable in some situations, while it may be much easier to only measure the output. This paper deals with the identification of nonlinear mechanical vibrations using output-only free-decay data. The presented method is based on the nonlinear subspace identification (NSI) technique combined with a mass-change scheme, in order to extract both the nonlinear state-space model and the underlying linear system. The technique is tested first on a numerical nonlinear system and subsequently on experimental measurements of a multi-degree-of-freedom system comprising a localized nonlinearity.

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“…In this work, a negative stiffness oscillator is studied and tested. e oscillator is part of a device designed to improve the current collection quality in railway overhead contact lines, attempting to alter their damping distribution and reducing the wave propagation [12].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamics of a Duffing-Like Negative Stiffness Oscillator: Modeling and Experimental Characterization

Anastasio

Fasana

Garibaldi

et al. 2020

Shock and Vibration

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In this paper, a negative stiffness oscillator is modelled and tested to exploit its nonlinear dynamical characteristics. The oscillator is part of a device designed to improve the current collection quality in railway overhead contact lines, and it acts like an asymmetric double-well Duffing system. Thus, it exhibits two stable equilibrium positions plus an unstable one, and the oscillations can either be bounded around one stable point (small oscillations) or include all the three positions (large oscillations). Depending on the input amplitude, the oscillator can exhibit linear and nonlinear dynamics and chaotic motion as well. Furthermore, its design is asymmetrical, and this plays a key role in its dynamic response, as the two natural frequencies associated with the two stable positions differ from each other. The first purpose of this study is to understand the dynamical behavior of the system in the case of linear and nonlinear oscillations around the two stable points and in the case of large oscillations associated with a chaotic motion. To accomplish this task, the device is mounted on a shaking table and it is driven with several levels of excitations and with both harmonic and random inputs. Finally, the nonlinear coefficients associated with the nonlinearities of the system are identified from the measured data.

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Analytical investigation of railway overhead contact wire dynamics and comparison with experimental results

Cited by 21 publications

References 13 publications

LMI-based hybrid temporal-spatial differential control design for a class of Euler-Bernoulli beam system

LMI-based hybrid temporal-spatial differential control design for a class of Euler-Bernoulli beam system

Free‐Decay Nonlinear System Identification via Mass‐Change Scheme

Nonlinear Dynamics of a Duffing-Like Negative Stiffness Oscillator: Modeling and Experimental Characterization

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