Influence of conicity on the free wave propagation in symmetric tapered periodic beam

Prasad, Rajan; Banerjee, Arnab

doi:10.1016/j.mechrescom.2020.103655

Cited by 15 publications

(2 citation statements)

References 24 publications

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“…A tapered beam is very preferable to the designer because of its cost-effective and material-saving properties [10]. In tapered beams, the cross-sectional geometry is continuously varying along the length, based on the bending moment distributions [11][12][13]. In a tapered beam, the cross-section varies gradually.…”

Section: Introductionmentioning

confidence: 99%

Analysis of free vibration of tapered cracked double nanobeams using Maclaurin series

Hossain¹,

Lellep²

2022

Eng. Res. Express

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In the study, the Maclaurin series technique is presented to analyse the vibration of cracked tapered double nanobeams. The equation of motion is derived from the Euler-Bernoulli beam theory based on the Hamiltonian principle and Eringen's nonlocal theory of elasticity. The double-nanobeam system consists of two parallel nanobeams attached by a Winkler elastic layer. Both beams are identical and their widths vary along the x-axis. A single crack is considered at the upper beam of the system. The mechanical behaviour of cracked cross-sections is simulated by the local stiffness model. According to the model, the cracked double-beam system is divided into two intact segments. A numerical investigation is carried out to scrutinize the effects of nonlocal parameters, crack severity, taper ratio, and spring constant on the vibration of the double nanobeam. The results reveal that the effects of crack depth, crack location, nonlocal parameters, taper ratio, and spring constant influence the natural frequency and dynamic response of the system significantly. This study highlights that a crack at the upper beam influences the mode shape of the upper beam as well as the intact lower beam. Numerical results have been examined with the previously published works and found a good agreement with them.

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Section: Introductionmentioning

confidence: 99%

Analysis of free vibration of tapered cracked double nanobeams using Maclaurin series

Hossain¹,

Lellep²

2022

Eng. Res. Express

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“…In the attenuation band, the free wave cannot able to propagate rather attenuates as it proceeds further. Attenuation bandgap formation mechanism is hinged upon the concept of Bragg scattering (Prasad and Banerjee 2021), local resonance (Banerjee, 2020), level repulsion (Wang et al, 2020b), and inertial amplification (Yilmaz et al, 2007; Yuksel and Yilmaz 2020). The destructive interference of the wave reflections from the periodic inclusions within the medium is the main cause behind Bragg scattering (Sigalas and Economou 1992).…”

Section: Introductionmentioning

confidence: 99%

Ultra-wide bandgap in active metamaterial from feedback control

Bera

Banerjee

2021

Journal of Vibration and Control

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To widen the attenuation bandwidth in a mass-in-mass metamaterial chain, active feedback control is employed within the unit cell. The optimal control via Linear Quadratic Regulator is used to ensure the stability of the solution as well as adaptive tuning of the system. The key concept is to obtain a wider bandwidth by reducing the displacement amplitude of the outer mass of each unit of the metamaterial. Transmittance for finite number of units and dispersion diagram for infinitely long metamaterial chain are obtained using the backward-substitution method and Bloch–Floquet’s theorem, respectively. Results evidenced that an ultra-wide uninterrupted attenuation band starting from very low free wave frequency can be obtained. The dispersion diagram primarily depends on the frequency ratio of the resonating unit with the external main unit. The effect of the mass ratio is insignificant while active feedback control is implemented. This unique phenomenon implies that for a very low mass ratio also a wider bandwidth can be achieved. This enables to design a lightweight structure having wider bandwidth in low-frequency regime.

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Tunable broadband low-frequency band gap of multiple-layer metastructure induced by time-delayed vibration absorbers

et al. 2022

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Influence of conicity on the free wave propagation in symmetric tapered periodic beam

Cited by 15 publications

References 24 publications

Analysis of free vibration of tapered cracked double nanobeams using Maclaurin series

Analysis of free vibration of tapered cracked double nanobeams using Maclaurin series

Ultra-wide bandgap in active metamaterial from feedback control

Tunable broadband low-frequency band gap of multiple-layer metastructure induced by time-delayed vibration absorbers

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