A new periodic structure composite material with quasi-phononic crystals

Miao, Linchang; Li, Chao; Lei, Lixu; Fang, Huanglei; Liang, Xiaodong

doi:10.1016/j.physleta.2020.126594

Cited by 22 publications

(7 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…e ik 2 l e ik 3 l e ik 4 l ik 1 e ik 1 l ik 2 e ik 2 l ik 3 e ik 3 l ik 4 e ik 4 l     . (9) Similarly, the general force of the two ends can be expressed as…”

Section: Spectral Element Methodsunclassified

“…Qian et al [8] considered manipulating transverse waves using longitudinal vibrations, which in essence provide a pseudo-stiffness. Miao et al [9] designed a new periodic composite with quasi-phononic crystals, which can open the ultra-low frequency BG. Panahi et al [10] proposed two novel phononic unit-cells and demonstrated that they can provide over 200% BG coverage factor over the low-frequency range of 0-12 kHz.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Phononic Band Gap and Free Vibration Analysis of Fluid-Conveying Pipes with Periodically Varying Cross-Section

Liang

Qian

et al. 2021

Applied Sciences

View full text Add to dashboard Cite

Phononic crystals (PCs) are a novel class of artificial periodic structure, and their band gap (BG) attributes provide a new technical approach for vibration reduction in piping systems. In this paper, the vibration suppression performance and natural properties of fluid-conveying pipes with periodically varying cross-section are investigated. The flexural wave equation of substructure pipes is established based on the classical beam model and traveling wave property. The spectral element method (SEM) is developed for semi-analytical solutions, the accuracy of which is confirmed by comparison with the available literature and the widely used transfer matrix method (TMM). The BG distribution and frequency response of the periodic pipe are attained, and the natural frequencies and mode shapes are also obtained. The effects of some critical parameters are discussed. It is revealed that the BG of the present pipe system is fundamentally induced by the geometrical difference of the substructure cross-section, and it is also related to the substructure length and fluid–structure interaction (FSI). The number of cells does not contribute to the BG region, while it has significant effects on the amplitude attenuation, higher order natural frequencies and mode shapes. The impact of FSI is more evident for the pipes with smaller numbers of cells. Moreover, compared with the conventional TMM, the present SEM is demonstrated more effective for comprehensive analysis of BG characteristics and free vibration of PC dynamical structures.

show abstract

“…e ik 2 l e ik 3 l e ik 4 l ik 1 e ik 1 l ik 2 e ik 2 l ik 3 e ik 3 l ik 4 e ik 4 l     . (9) Similarly, the general force of the two ends can be expressed as…”

Section: Spectral Element Methodsunclassified

Section: Introductionmentioning

confidence: 99%

Phononic Band Gap and Free Vibration Analysis of Fluid-Conveying Pipes with Periodically Varying Cross-Section

Liang

Qian

et al. 2021

Applied Sciences

View full text Add to dashboard Cite

show abstract

“…4(b)-4(e), there are lots of conceptions for the structurized resonator. By replacing the linear spring into elastic materials or structures, for instance, silicon rubber [49,51,[55][56][57] , membrane [50,58] , cantilever beam [52] , and polymer concrete [59] , the size of the metamaterial is drastically reduced. An additional advantage of replacing the spring by the elastic material is that the elastic material is capable of providing the restoring force in multiple directions.…”

Section: Elastic Materials/structuresmentioning

confidence: 99%

A brief review of metamaterials for opening low-frequency band gaps

Wang

Zhou

Tan

et al. 2022

Appl. Math. Mech.-Engl. Ed.

View full text Add to dashboard Cite

Metamaterials are an emerging type of man-made material capable of obtaining some extraordinary properties that cannot be realized by naturally occurring materials. Due to tremendous application foregrounds in wave manipulations, metamaterials have gained more and more attraction. Especially, developing research interest of low-frequency vibration attenuation using metamaterials has emerged in the past decades. To better understand the fundamental principle of opening low-frequency (below 100 Hz) band gaps, a general view on the existing literature related to low-frequency band gaps is presented. In this review, some methods for fulfilling low-frequency band gaps are firstly categorized and detailed, and then several strategies for tuning the low-frequency band gaps are summarized. Finally, the potential applications of this type of metamaterial are briefly listed. This review is expected to provide some inspirations for realizing and tuning the low-frequency band gaps by means of summarizing the related literature.

show abstract

“…The wavelength attenuated by the locally resonant band gap can reach two orders higher than the lattice constant [ 22 ], which allows relative material structures to isolate lower-frequency vibration. The local resonance mechanism of periodic structures overcomes the limitations of Bragg scattering theory, and numerous researchers have utilized this mechanism to obtain low-frequency vibration isolation [ 23 , 24 , 25 , 26 ]. However, the local resonance mechanism is contradictory to the broadband frequency gaps [ 26 ].…”

Section: Introductionmentioning

confidence: 99%

Numerical Analysis of the Mitigation Performance of a Buried PT-WIB on Environmental Vibration

Gao,

Cai,

et al. 2023

Sensors

Self Cite

View full text Add to dashboard Cite

Environmental vibration pollution has serious negative impacts on human health. Among the various contributors to environmental vibration pollution in urban areas, rail transit vibration stands out as a significant source. Consequently, addressing this issue and finding effective measures to attenuate rail transit vibration has become a significant area of concern. An infilled trench can be arranged periodically along the propagation paths of the waves in the soil to attenuate vibration waves in a specific frequency range. However, the periodic infilled trench seems to be unsatisfactory for providing wide band gaps at low and medium frequencies. To improve the isolation performance of wave barriers at low to medium frequencies, a buried PT-WIB consisting of a periodic infilled trench and a wave impedance block barrier has been proposed in this paper. A three-dimensional finite element model has been developed to evaluate the isolation performance of three wave barriers. The influence of the PT-WIB’s parameters on isolation performance has been analyzed. The results indicate that the combined properties of the periodic structure and the wave impedance block barrier can effectively achieve a wide attenuation zone at low and medium frequencies, enhancing the isolation performance for mitigating environmental vibration pollution.

show abstract

A new periodic structure composite material with quasi-phononic crystals

Cited by 22 publications

References 13 publications

Phononic Band Gap and Free Vibration Analysis of Fluid-Conveying Pipes with Periodically Varying Cross-Section

Phononic Band Gap and Free Vibration Analysis of Fluid-Conveying Pipes with Periodically Varying Cross-Section

A brief review of metamaterials for opening low-frequency band gaps

Numerical Analysis of the Mitigation Performance of a Buried PT-WIB on Environmental Vibration

Contact Info

Product

Resources

About