Resonance of a rectangular plate influenced by sequential moving masses

Hassanabadi, Mohsen Ebrahimzadeh; Attari, Nader K.A.; Nikkhoo, Ali; Mariani, Stefano

doi:10.12989/csm.2016.5.1.087

Cited by 13 publications

(5 citation statements)

References 24 publications

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“…More recently some authors have investigated the resonance phenomena caused by the circulation of periodic forces or masses following either a semi-analytical [21,22] or a numerical approach [23,24,7]. Neverthe-less, in the authors' opinion, regardless of the approach adopted, resonance phenomena caused by a series of periodic loads and the conditions for its maximization or cancellation depending on the free vibration amplitudes left by each single load have not been analysed in the case of orthotropic plates, especially when these separate from ideal well-known conditions i.e.…”

Section: Introductionmentioning

confidence: 99%

Maximum resonance and cancellation phenomena in orthotropic plates traversed by moving loads: Application to railway bridges

Martínez-Rodrigo

Moliner

Romero

et al. 2020

International Journal of Mechanical Sciences

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The vibrational response of railway bridges is an issue of main concern, especially since the advent of High-Speed traffic. In the case of short-to-medium lengths and simply-supported spans excessive transverse acceleration levels may be induced at the platform, with detrimental consequences for passengers and infrastructures. The orthotropic plate has proven to be an appropriate model for the prediction of the response of certain typologies in the aforementioned cases such as multiple girder decks, solid or voided slabs or filler-beam multiple-track decks. In this contribution, the vibrational response of orthotropic plates, simply and elastically supported, circulated by vertical moving loads is investigated. First, maximum free vibration and cancellation conditions are derived analytically. From these, bridge span length-characteristic distance ratios leading to maximum and minimum resonances under series of equidistant loads are depicted. Second, the applicability of these ratios in oblique decks is analysed for the most common first three mode shapes: first longitudinal bending, first torsion and first transverse bending modes, and the errors in relation to the straight reference case are bounded. To this end, an extensive bridge catalogue of girder bridges is designed in the range of lengths of interest, covering flexural stiffnesses typical from both conventional and High-Speed railway lines. Finally, the applicability of the previous theoretical results is exemplified with experimental measurements performed on a bridge from the Spanish railway network.

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Section: Introductionmentioning

confidence: 99%

Maximum resonance and cancellation phenomena in orthotropic plates traversed by moving loads: Application to railway bridges

Martínez-Rodrigo

Moliner

Romero

et al. 2020

International Journal of Mechanical Sciences

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“…Ghazvini et al [22] studied the dynamic vibration of thin un-uniform profile rectangular plates under the force of a moving mass. Hassanabadi et al [23] investigated the resonance of thin rectangular plates subjected to a train of moving mass. Rofooei et al [24] collated the Von Karman and Kirchhoff plate theory to explore the deflection of rectangular plates subjected to a moving mass.…”

Section: Introductionmentioning

confidence: 99%

On non-stationary response of cracked thin rectangular plates acted upon by a moving random force

2023

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This paper is aimed to examine the dynamics of cracked thin rectangular plates subjected to a moving non-stationary random load. A random load is considered with a constant mean value, a constant moving velocity, and five different covariance patterns namely the white noise, constant, exponential, cosine wave, and exponential cosine covariance. Accordingly, an intact plate's orthogonal polynomials in combination with the well-known corner functions are employed to explore the mechanical behavior of the cracked plate. As the non-dimensional deflection values, the functions of the squared mean values are obtained for the damped and undamped cracked plates at different points. Then an inclusive parametric study is performed to explore effects of the inclined crack angles and the crack lengths on the non-dimensional functions of squared mean values at middle point of the undamped and damped cracked plates. Based on the obtained results, there are non-monotonous nonlinear relations between increasing the incline crack angles as well as the crack lengths and the non-dimensional functions of squared mean values. Furthermore, it is found that in the exponential covariance cases, the effects of increasing crack angles and lengths on the non-dimensional squared mean values are profounder than the other four patterned covariance cases.

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“…Over the past two decades, the dynamic behaviour of cracked and non-cracked beams subjected to moving loads (mass or oscillator) has been widely investigated using different analytical and numerical approaches (e.g. Nikkhoo et al (2007), Nikkhoo (2014), Ahmadi and Nikkhoo (2014), Nikkhoo et al (2015), Hassanabadi et al (2016), He and Zhu (2016), Attar et al (2017) and Khiem and Hang (2018)). As an example, the dynamic response of cracked beams has been investigated via a transfer matrix method, where the cracked beam is modelled as several beam elements connected to each other by massless rotational springs (Attar, 2012; Moezi et al, 2015; Roveri and Carcaterra, 2012).…”

Section: Introductionmentioning

confidence: 99%

An acceleration-based approach for crack localisation in beams subjected to moving oscillators

Nikkhoo

Karegar

Mohammadi

et al. 2020

Journal of Vibration and Control

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In this study, an output-only crack localisation method based on the Hilbert–Huang transform is proposed for crack localisation in bridge-type structures subjected to a moving vehicle simulated by a moving oscillator. The proposed method can accurately identify the location of cracks without using the conventional computationally expensive model updating techniques. The new crack localisation method can be adopted using fixed sensor and moving sensor approaches. In the fixed sensor approach, an acceleration sensor is located on an arbitrary point of the bridge, whereas in the moving sensor approach, an acceleration sensor is attached to a moving vehicle. The efficiency of the fixed sensor and moving sensor approaches is assessed through several numerical examples. A comprehensive analytical study is also conducted to investigate the impacts of crack depth and moving vehicle characteristics (such as damping coefficient, natural frequency, and velocity) on the accuracy of the predictions. It is shown that the proposed crack localisation method using fixed sensor and moving sensor approaches could efficiently identify the location and localisation of the cracks in all cases. However, the results indicate that the accuracy of the fixed sensor approach is generally better than that of the moving sensor approach in the localisation of cracks with small depth.

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Resonance of a rectangular plate influenced by sequential moving masses

Cited by 13 publications

References 24 publications

Maximum resonance and cancellation phenomena in orthotropic plates traversed by moving loads: Application to railway bridges

Maximum resonance and cancellation phenomena in orthotropic plates traversed by moving loads: Application to railway bridges

On non-stationary response of cracked thin rectangular plates acted upon by a moving random force

An acceleration-based approach for crack localisation in beams subjected to moving oscillators

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