Statistical analysis of wave localization and delocalization in one-dimensional randomly disordered phononic crystals with finite cells

Ma, Keping; Liu, Ruo-Xi; Wu, Feng; Xu, Jia

doi:10.1080/17455030.2022.2025502

Cited by 2 publications

(1 citation statement)

References 41 publications

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“…De Ponti et al (2019) demonstrated numerically and experimentally that perturbing the periodicity inside structures does not significantly affect its attenuation capabilities. However, only a few research studies (Ma et al, 2022) investigated the effects on wave propagation and vibration response from a statistical point of view. Moreover, the general conclusions on the effects of disorder and the corresponding solutions to the possible outcomes are still absent, to the best of our knowledge.…”

Section: Introductionmentioning

confidence: 99%

Sorting strategy to retune the disordered periodic structures regarding vibration reduction in band gaps

Wu²,

Fan³

et al. 2022

Front. Mech. Eng.

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Periodic structures exhibit frequency band gaps, in which the propagation of certain waves is attenuated. A periodic structure can be designed such that its band gaps cover the excitation frequencies and its vibration can be reduced. However, perfectly periodic structures do not exist in reality due to inevitable deviations in the material and geometric properties. The vibration reduction performance can be significantly altered by the disorder, as reported by various authors. Therefore, it is favorable to find approaches that can retune disordered structures to the best possible state. In this way, robust vibration reduction performance can be achieved. In this study, a sorting strategy is proposed to rearrange the disordered unit cells. The aim is to reduce the performance change of vibration reduction. Specifically, a diatomic lumped-mass model has been used, where one mass coefficient in each unit cell is subject to random error. The forced response is computed, and the frequency-averaged spatially maximum amplitude is used as the indicator to quantify the influence of the disorder. Then, we reveal the importance of the deviation at different unit cells by a global sensitivity analysis. A variance-based approach termed Sobol’s sensitivity analysis is used. The results show that the deviation in the unit cell nearest to the excitation source is of the greatest importance. A theoretical interpretation from the perspective of wave propagation is given. Eventually, a simple sorting strategy is proposed, and the rule is to ensure that the unit cell in the first position has the smallest deviation. This strategy can significantly improve the similarity of the dynamic characteristics between the nominal and disordered structures. Overall, the conducted work provides a reference to the manufacture and assembly of periodic structures and a further understanding of the vibration reduction in band gaps.

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Section: Introductionmentioning

confidence: 99%

Sorting strategy to retune the disordered periodic structures regarding vibration reduction in band gaps

Wu²,

Fan³

et al. 2022

Front. Mech. Eng.

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Microscopic mechanism of subgrade vibration compaction based on discrete element method

Gao,

Liu,

Fang

et al. 2023

era

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<abstract> <p>The discrete element is an important tool for vibration compaction simulation from the microscopic viewpoint. The irregular particle model was established by the disc filling method, and the linear contact model with anti-rolling was selected to reflect the contact characteristics between the particles, so as to establish the simulation model of subgrade vibratory compaction. Based on this model, the stress characteristics of the area below the center of the vibrating wheel and the surface area of the soil were studied, and the principle of vibratory compaction was discussed. The results show that the distribution of vertical stresses below the center of drum basically presents a decreasing trend in the depth range during vibration, with the stress amplitude of the lower structure increasing and the stress magnitude of the upper structure decreasing. The distribution of horizontal stresses in the area below the center of the vibrating wheel is similar to the stress distribution in the splitting test. The soil at the surface has an obvious pushing and squeezing effect, and the transmission distance of horizontal stresses is larger than that of vertical stresses. The soil at the surface is pushed and the horizontal stresses are transmitted at a greater distance than the vertical stresses, which, together with a certain degree of shear effect, causes a certain uplift deformation of the soil around the vibrating wheel. In general, the vibration compaction process is relatively consistent with the theory of repeated loading and the theory of alternating shear strain.</p> </abstract>

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Statistical analysis of wave localization and delocalization in one-dimensional randomly disordered phononic crystals with finite cells

Cited by 2 publications

References 41 publications

Sorting strategy to retune the disordered periodic structures regarding vibration reduction in band gaps

Sorting strategy to retune the disordered periodic structures regarding vibration reduction in band gaps

Microscopic mechanism of subgrade vibration compaction based on discrete element method

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