Flexural wave band gaps and vibration attenuation characteristics in periodic bi-directionally orthogonal stiffened plates

Li, Yinggang; Zhou, Qingwen; Zhou, Lei; Zhu, Ling; Guo, Kailing

doi:10.1016/j.oceaneng.2019.02.076

Cited by 29 publications

(7 citation statements)

References 25 publications

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“…This deviation phenomenon can also be found in other related references. 18,25 Overall, the computational and experimental errors are acceptable.…”

Section: Comparison Of Measured and Calculated Resultsmentioning

confidence: 85%

“…To investigate the PUSP FWBGs, the FEM was combined with Bloch theory to determine the dispersion relations and transmission spectra. 18,25,26 For a unit cell of the U-rib stiffened plate as shown in Figure 2(a), the vibration equation based on FEM is expressed aswhere K c and M c denote the stiffness and mass matrices of a unit cell, respectively. ω is the angular frequency.…”

Section: Model and Calculation Methodsmentioning

confidence: 99%

“…In addition to the traditional vibration control methods listed above, extensive studies have been performed to explore the elastic wave propagation and attenuation characteristics of periodic structures. 18 However, these strategies are rarely utilized in bridge engineering. Khelif et al 19 studied drilled-hole periodic plates with piezoelectric inclusions placed periodically in an isotropic matrix material.…”

Section: Introductionmentioning

confidence: 99%

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Flexural wave band gaps of steel bridge decks periodically stiffened with U-ribs: Mechanism and influencing factors

Zhang

Hao

Luo

et al. 2022

Journal of Low Frequency Noise, Vibration and Active Control

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To effectively and efficiently control vibrations in steel bridge decks, the flexural wave band gap and vibration attenuation mechanism are studied. The band structures and displacement fields of the eigenmodes at the band gap edges of infinite periodic U-rib stiffened plates are calculated. The calculation method is combining the finite element method with Bloch periodic boundary conditions. A scaled specimen test of a finite periodic U-rib stiffened plate is used to validate the numerical results. A comparison of results confirms that introducing the U-rib allows the periodic U-rib stiffened plates to yield several flexural wave band gaps. In the band gaps, flexural wave propagation is stopped and clear flexural vibration suppression is achieved. Furthermore, the effects of geometric parameters and structural schemes on the flexural wave band gaps are analyzed in detail. Finally, by analyzing a specific case, it is demonstrated that the flexural wave band gaps and vibration attenuation properties can be controlled. This provides a new approach to vibration and noise control in steel bridges.

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“…This deviation phenomenon can also be found in other related references. 18,25 Overall, the computational and experimental errors are acceptable.…”

Section: Comparison Of Measured and Calculated Resultsmentioning

confidence: 85%

Section: Model and Calculation Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Flexural wave band gaps of steel bridge decks periodically stiffened with U-ribs: Mechanism and influencing factors

Zhang

Hao

Luo

et al. 2022

Journal of Low Frequency Noise, Vibration and Active Control

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“…In the recent decades, phononic crystals (PCs), a classical type of artificial structures possessing periodicity, have been extensively applied to manipulate elastic and acoustic waves owing to their extraordinary features such as negative refraction (Xia et al, 2016; Yao et al, 2011), cloaking (Milton et al, 2006; Zhao et al, 2017), self-collimation (Li et al, 2015; Shi et al, 2008) and band gaps (Hussein and Frazier, 2010; Kushwaha et al, 1993; Li et al, 2019; Lou et al, 2018; Lucklum and Vellekoop, 2018). Concerned with the field of vibration and sound reduction, band gaps where elastic waves are forbidden to propagate through can offer a promising technique to meet different operational requirements.…”

Section: Introductionmentioning

confidence: 99%

Actively tuning of transverse wave band gaps in hybrid sandwich beam metamaterials with shunted piezoelectric array and inertial amplification mechanism

Yang

Xia

2022

Journal of Intelligent Material Systems and Structures

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In this paper, a tunable sandwich beam metamaterial is designed by implementing a hybrid project composed of the piezoelectric shunted array technique and the inertial amplification mechanism. Concerned with the shunted piezoelectric constitutive relation, the kinematic analysis of added mechanism and the transverse motion of base structure, a theoretical model is established to estimate the band gap characteristics of the sandwich beam lined with pyramidal truss cores using the transfer matrix method, whose accuracy is further validated by the finite element simulations. Numerical results show that multiple stop bands are generated at low frequencies owing to the mechanisms of electromechanical resonance, amplifying inertia and mechanical resonance, certainly enhancing the level of vibration suppression. Subsequently, a comprehensive parametric analysis is conducted to investigate the influences of the shunting circuits and attached mechanism on the attenuation diagrams. It is demonstrated that the hybrid sandwich lattice can offer more tunable space to acquire ultra-broad band gaps. Furthermore, based on the design potential, the amplitudes and bandwidths of the attenuation region are maximized by operating an optimization study. Such advanced attenuation performance can be applied for a wide range of engineering applications.

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“…In recent years, the wave propagation characteristics in phononic crystals and elastic metamaterials have attracted considerable attention because of their unique properties and tremendous application prospects (Huang et al, 2016; Li et al, 2019b; Liu et al, 2000; Zuo et al, 2017). With the existence of band gap characteristics, elastic metamaterials possess extensive potential applications in low-frequency vibration and noise reduction (Choi and Yoon, 2018; Lai et al, 2011; Li et al, 2017; Lu et al, 2020; Oyelade, 2020; Zhao et al, 2019).…”

Section: Introductionmentioning

confidence: 99%

Flexural wave propagation and vibration isolation characteristics of sandwich plate-type elastic metamaterials

et al. 2020

Journal of Vibration and Control

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Sandwich structures are widely used in the fields of aerospace, automobile as well as ship and offshore structures because of their excellent mechanical performances such as lightweight, high specific strength and high specific stiffness. In this study, the flexural wave band gaps and vibration isolation characteristics of sandwich plate-type elastic metamaterials are numerically and experimentally investigated. The proposed sandwich plate-type elastic metamaterials are constituted of local resonant stubs periodically deposited on a sandwich plate with periodic thin-wall aluminium tube cores. An efficient finite element method combined with a solid-shell coupling method and Bloch periodic boundary conditions is presented and validated by experimental measurements to calculate the dispersion relations and the acceleration frequency responses of sandwich plate-type elastic metamaterials. The influences of geometric parameters on the flexural wave band gaps are performed and discussed. Results show that the proposed sandwich plate-type elastic metamaterials can yield flexural wave band gaps in the low-frequency range and show significant performance on the flexural vibration isolation. Moreover, the flexural wave band gaps can be effectively modulated by the geometric parameters.

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Flexural wave band gaps and vibration attenuation characteristics in periodic bi-directionally orthogonal stiffened plates

Cited by 29 publications

References 25 publications

Flexural wave band gaps of steel bridge decks periodically stiffened with U-ribs: Mechanism and influencing factors

Flexural wave band gaps of steel bridge decks periodically stiffened with U-ribs: Mechanism and influencing factors

Actively tuning of transverse wave band gaps in hybrid sandwich beam metamaterials with shunted piezoelectric array and inertial amplification mechanism

Flexural wave propagation and vibration isolation characteristics of sandwich plate-type elastic metamaterials

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