Analysis and experimental realization of locally resonant phononic plates carrying a periodic array of beam-like resonators

Xiao, Yong; Wen, Jihong; Huang, Lingzhi; Wen, Xisen

doi:10.1088/0022-3727/47/4/045307

Cited by 87 publications

(26 citation statements)

References 31 publications

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“…Different types of local resonators have been proposed in the design of acoustic metamaterials, such as coated spheres (the coating is elastically soft material while the sphere is high density solid) [1], Helmholtz resonators [3], tensioned elastic membrane carrying mass blocks [7,8,10,14], soft rubber rings encircled with heavy metal rings [5], cantilevered beam-like structures [18,19], resonant piezoelectric shunts [20][21][22][23][24][25][26][27][28][29][30], etc. Compared with other mechanical resonators (or dynamic vibration absorbers), the advantages of piezoelectric resonators include (i) the additional mass introduced by a piezoelectric resonator is always very small, which is of great importance in practical applications; (ii) the performance of a piezoelectric resonator can be tuned very easily and efficiently by only adjusting the properties of shunting circuit, without modifying the structural parameters.…”

Section: Introductionmentioning

confidence: 99%

Sound transmission loss of metamaterial thin plates with periodic subwavelength arrays of shunted piezoelectric patches

Zhang

Wen

Xiao

et al. 2015

Journal of Sound and Vibration

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121

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Section: Introductionmentioning

confidence: 99%

Sound transmission loss of metamaterial thin plates with periodic subwavelength arrays of shunted piezoelectric patches

Zhang

Wen

Xiao

et al. 2015

Journal of Sound and Vibration

Self Cite

121

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“…The frequency band gaps of a metamaterial can also be controlled using phononic plates which employ beam-like resonators to induce local resonance 24 25 . Other studies show wave attenuation in thin metamaterial plates as well as enhancements by introducing springboards 26 .…”

mentioning

confidence: 99%

“…However, there is a lack of design parameters to govern the designed resonance frequency based on analytical model of cantilever-in-mass metamaterials. Moreover, the prototypes in earlier studies were typically made of metals 25 27 , thus quick and easy fabrication could not be simply achieved.…”

mentioning

confidence: 99%

Numerical investigation of band gaps in 3D printed cantilever-in-mass metamaterials

Qureshi

Tan

2016

Sci Rep

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In this research, the negative effective mass behavior of elastic/mechanical metamaterials is exhibited by a cantilever-in-mass structure as a proposed design for creating frequency stopping band gaps, based on local resonance of the internal structure. The mass-in-mass unit cell model is transformed into a cantilever-in-mass model using the Bernoulli-Euler beam theory. An analytical model of the cantilever-in-mass structure is derived and the effects of geometrical dimensions and material parameters to create frequency band gaps are examined. A two-dimensional finite element model is created to validate the analytical results, and excellent agreement is achieved. The analytical model establishes an easily tunable metamaterial design to realize wave attenuation based on locally resonant frequency. To demonstrate feasibility for 3D printing, the analytical model is employed to design and fabricate 3D printable mechanical metamaterial. A three-dimensional numerical experiment is performed using COMSOL Multiphysics to validate the wave attenuation performance. Results show that the cantilever-in-mass metamaterial is capable of mitigating stress waves at the desired resonance frequency. Our study successfully presents the use of one constituent material to create a 3D printed cantilever-in-mass metamaterial with negative effective mass density for stress wave mitigation purposes.

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“…As a kind of structural material, EMMs can be designed to have significant ability of suppressing, absorbing or manipulating elastic waves by tailoring its metastructure at subwavelength scale. Thus a large structure is no longer necessary in order to gain a low-frequency bandgap, [1] which is helpful for low-frequency isolation or attenuation of sound and vibration, [2][3][4][5][6][7] negative refraction, [8] acoustic imaging, [9,10] and acoustic cloaking [11], etc. arXiv:1607.07146v1 [cond-mat.mtrl-sci] 25 Jul 2016…”

Section: Introductionmentioning

confidence: 99%

“…As the electric field in PZT patch b is 3 (4), the piezoelectric equations [31] in patch b can be transformed as…”

Section: Introductionmentioning

confidence: 99%

Multi-resonant piezoelectric shunting induced by digital controllers for subwavelength elastic wave attenuation in smart metamaterial

Wang

Cheng

Chen

et al. 2017

Smart Mater. Struct.

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Instead of analog electronic circuits and components, digital controllers that are capable of active multi-resonant piezoelectric shunting are applied to elastic metamaterials integrated with piezoelectric patches. Giving thanks to the introduced digital control technique, shunting strategies with transfer functions that can hardly be realized with analog circuits is possible now. As an example, the "pole-zero" method is developed to design single-or multi-resonant bandgaps by adjusting poles and zeros in the transfer function of piezoelectric shunting directly. Large simultaneous attenuations in up to three frequency bands at deep subwavelength scale (with the normalized frequency as low as 0.077) are achieved. The underlying physical mechanism is attributed to the negative group velocity of flexural wave within bandgaps. As digital controllers can be readily adapted via wireless broadcasting, the bandgaps can be tuned easily instead of tuning the electric components in analog shunting circuits one by one manually. The theoretical results are well verified experimentally with the measured vibration transmission properties where large insulations of up to 20dB in low-frequency ranges are observed.

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Analysis and experimental realization of locally resonant phononic plates carrying a periodic array of beam-like resonators

Cited by 87 publications

References 31 publications

Sound transmission loss of metamaterial thin plates with periodic subwavelength arrays of shunted piezoelectric patches

Sound transmission loss of metamaterial thin plates with periodic subwavelength arrays of shunted piezoelectric patches

Numerical investigation of band gaps in 3D printed cantilever-in-mass metamaterials

Multi-resonant piezoelectric shunting induced by digital controllers for subwavelength elastic wave attenuation in smart metamaterial

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