On the dynamics of periodically restrained flexural structures under moving loads

Botshekan, Meshkat; Tootkaboni, Mazdak; Louhghalam, Arghavan

doi:10.1016/j.ijsolstr.2019.07.013

Cited by 11 publications

(4 citation statements)

References 35 publications

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“…Bloch's work was followed by Mead et al (Mead and Markus, 1969; Mead, 1975), who developed a method for investigating harmonic wave propagation in periodic structures. Research has since taken place into a wide range of structures, such as mono-coupled periodic systems (Faulkner and Hong, 1985), beam grillage under harmonic point loading (Langley et al, 1997), a periodic Bernoulli–Euler beam (Yu et al, 2009), beam grids (Bordiga et al, 2019; Botshekan et al, 2019; Bacigalupo and Lepidi, 2018), and metamaterials with locally resonant components (Nouh et al, 2015; Ragonese and Nouh, 2021). Many engineering applications of periodic structures exist, including wave-beaming devices (Vonflotow, 1986; Yong and Lin, 1989; Ma et al, 2013) and filters (Mead and Markus, 1969; Mead, 1975; Brillouin, 2003).…”

Section: Introductionmentioning

confidence: 99%

Periodic structure with electrostatic forces: Interactions beyond the nearest neighbor

Sudesh

Gagan

Farzbod

2023

Journal of Vibration and Control

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Periodic structures are a type of metamaterial in which the physical properties depend not only on the details of the unit cell but also on how unit cells are arranged and interact with each other. In conventional engineering structures, each unit cell interacts with adjacent cells. Methods developed for vibrational and wave propagation analysis in periodic engineering structures consider only nearest-neighbor interactions. The dispersion curves of such systems, in which only adjacent cells interact, have been extensively studied. Metamaterial properties depend on the interactions of a unit cell with other cells. Further interactions, and specifically, interactions beyond the closest neighbors, imply a more complex band structure and wave behavior. In this paper, an example class of such structures, in which electrostatic forces are the driving force, has been investigated. In this paper, properties affecting these periodic structures, such as elastic forces, have been investigated. An attractive property of such structures is that the band structures of such metamaterials can be tuned by changing electric voltages.

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Section: Introductionmentioning

confidence: 99%

Periodic structure with electrostatic forces: Interactions beyond the nearest neighbor

Sudesh

Gagan

Farzbod

2023

Journal of Vibration and Control

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“…Vesnitskii and Metrikin [9,10] offered an extensive investigation into the behaviour of a periodically and discretely supported string acted upon by a moving load. More recently, there have been numerous studies of periodic guideways acted upon by vehicles, for example [11][12][13][14][15][16][17], and also numerous studies focusing on the vehicle instability caused by the periodic nature of the guideway (i.e. parametric instability or sometimes called parametric resonance), for example [18,19].…”

Section: Introductionmentioning

confidence: 99%

“…Figure16. Comparison of the periodic system and continuous one; the dispersion curves and the kinematic invariants (top left panel), the frequency spectra of the steady-state displacements (top right panel), and a snapshot of the time-domain displacements (bottom panel).…”

mentioning

confidence: 99%

Dynamic amplification in a periodic structure with a transition zone subject to a moving load: Three different phenomena

Faragau

Barbosa

Metrikine

et al. 2022

Mathematics and Mechanics of Solids

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The study of periodic systems under the action of moving loads is of high practical importance in railway, road, and bridge engineering, among others. Even though plenty of studies focus on periodic systems, few of them are dedicated to the influence of a local inhomogeneous region, a so-called transition zone, on the dynamic response. In railway engineering, these transition zones are prone to significant degradation, leading to more maintenance requirements than the rest of the structure. This study aims to identify and investigate phenomena that arise due to the combination of periodicity and local inhomogeneity in a system acted upon by a moving load. To study such phenomena in their purest form, a one-dimensional model is formulated consisting of a constant moving load acting on an infinite string periodically supported by discrete springs and dashpots, with a finite domain in which the stiffness and damping of the supports is larger than for the rest of the infinite domain; this model is representative of a catenary system (overhead wires in railway tracks). The identified phenomena can be considered as additional constraints for the design parameters at transition zones such that dynamic amplifications are avoided.

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“…The semi-analytical train-track-ground model considering rail irregularity was developed by Li et al [14] to study the random vibration of the system. Recently, modelling the periodically restrained flexural structures as Euler-Bernoulli beams supported by flexible and dissipative supports at equally spaced points, to moving loads, the dynamic response of which was studied [15] in detail.…”

Section: Introductionmentioning

confidence: 99%

Energy dissipation of an infinite damping beam supported by saturated poroelastic halfspace

Liu

Gao

et al. 2021

Phys. Scr.

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Reproducing the dissipative effects in the non-conservative dynamic system numerically is one of the challenges in the numerical method because that, both the artificial dissipation of the numerical method and the real dissipation of the system are contained in the numerical results. In this paper, a complex structure-preserving numerical approach with tiny artificial dissipation is developed to investigate the energy dissipation in the road-foundation interaction system subjected to a moving load. Simplifying the road as an infinite damping beam with a finite width and the foundation as a saturated poroelastic halfspace with viscosity, the nonlinear coupling damping dynamic model is established. The energy dissipation laws of the road-foundation interaction system are revealed with different parameters of the moving load in the numerical simulations by the complex structure-preserving approach. The complex structure-preserving approach developed in this paper provides a new way to analyze the coupling dissipative problems. In addition, the energy dissipation laws obtained from the numerical results give some suggestions on the road design and the foundation design in engineering.

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On the dynamics of periodically restrained flexural structures under moving loads

Cited by 11 publications

References 35 publications

Periodic structure with electrostatic forces: Interactions beyond the nearest neighbor

Periodic structure with electrostatic forces: Interactions beyond the nearest neighbor

Dynamic amplification in a periodic structure with a transition zone subject to a moving load: Three different phenomena

Energy dissipation of an infinite damping beam supported by saturated poroelastic halfspace

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