Numerical and experimental study of a sandwich-like metamaterial plate for vibration suppression
Source abstract
Abstract
Abstract This paper presents a design for a sandwich-like plate containing mass-beam resonators to obtain a specific and low-frequency stopband. The resonators consist of a cantilever beam and mass block and are fixed between the two faceplates of the sandwich-like plate. The traditional sandwich structure can't be used to control or isolate the vibration precisely in a specific frequency range. The stopband of the present sandwich-like plate can be easily changed by adjusting the geometry of the cantilever beam and the mass of the block. Using the energy method, the dispersion equation relating the frequency to the wave numbers is derived and the two bounds of the stopband are obtained by solving the dispersion equation. The vibration transmission of the sandwich-like plate is investigated using numerical calculation, finite element simulation, and experiments; a good agreement between the results of the three methods is obtained. The results show that the stopband is determined by the natural frequency of the resonators and the mass ratio of the resonators and faceplates; the stopband width is significantly affected by the damping ratio of the resonators. The results of this study will be useful for the design of plate structures with good vibration attenuation and isolation.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Acoustic Wave Phenomena Research · Metamaterials and Metasurfaces Applications · Vibration Control and Rheological Fluids
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (52)
Show source-provided references
1. The electrodynamics of substances with simultaneously negative values of ε and μ10.1070/PU1968v010n04ABEH003699 ↗
2. Negative refraction makes a perfect lens10.1103/PhysRevLett.85.3966 ↗
3. Composite medium with simultaneously negative permeability and permittivity10.1103/PhysRevLett.84.4184 ↗
4. Observation of the inverse Doppler effect10.1126/science.1089342 ↗
5. Metamaterial electromagnetic cloak at microwave frequencies10.1126/science.1133628 ↗
6. Plasmonic and metamaterial cloaking: physical mechanisms and potentials10.1088/1464-4258/10/9/093002 ↗
7. Group velocity in strongly scattering media10.1126/science.271.5249.634 ↗
8. Diode behavior and nonreciprocal transmission in nonlinear elastic wave metamaterial10.1016/j.mechmat.2019.03.010 ↗
9. Experimental and numerical study of guided wave propagation in a thin metamaterial plate10.1016/j.physleta.2011.06.006 ↗
10. Three-dimensional acoustic sub-diffraction focusing by coiled metamaterials with strong absorption10.1039/C9TC01243E ↗
11. Active control of elastic wave propagation in nonlinear phononic crystals consisting of diatomic lattice chain10.1016/j.wavemoti.2017.12.009 ↗
12. Locally resonant sonic materials10.1126/science.289.5485.1734 ↗
13. Investigation of surface acoustic wave propagation in composite pillar based phononic crystals within both local resonance and Bragg scattering mechanism regimes10.1088/1361-6463/aa86df ↗
14. Wave propagation control in periodic track structure through local resonance mechanism10.1007/s11771-018-3974-6 ↗
15. The phononic band gaps of Bragg scattering and locally resonant pentamode metamaterials10.1088/1361-6463/aa83ec ↗
16. Flexural vibration band gaps in Bragg acoustical hyperstructure beam with local-resonance system10.1142/S0217984919502786 ↗
17. Active control of elastic metamaterials consisting of symmetric double Helmholtz resonator cavities10.1016/j.ijmecsci.2019.02.007 ↗
18. A numerical method for flexural vibration band gaps in a phononic crystal beam with locally resonant oscillators10.3390/cryst9060293 ↗
19. Design of a multi-resonator metamaterial for mitigating impact force10.1063/1.5029946 ↗
20. Dissipative multi-resonator acoustic metamaterials for impact force mitigation and collision energy absorption10.1007/s00707-019-02437-4 ↗
21. Plate-type acoustic metamaterial with cavities coupled via an orifice for enhanced sound transmission loss10.1063/1.5019602 ↗
22. Plate-type acoustic metamaterials: Evaluation of a large-scale design adopting modularity for customizable acoustical performance10.1016/j.apacoust.2019.01.027 ↗
23. Simulating the sound transmission loss of complex curved panels with attached noise control materials using periodic cell wavemodes10.1016/j.apacoust.2019.06.027 ↗
24. Acoustic metamaterials with synergetic coupling10.1063/1.5003276 ↗
25. Modal displacement method for extracting the bending wave bandgap of plate-type acoustic metamaterials10.7567/1882-0786/ab27dd ↗
26. Membrane- and plate-type acoustic metamaterials10.1121/1.4950751 ↗
27. Elastic waves in plates with periodically placed inclusions10.1063/1.356177 ↗
28. On vibration isolation of sandwich plate with periodic hollow tube core10.1177/1099636217707933 ↗
29. Lamb waves in binary locally resonant phononic plates with two-dimensional lattices10.1063/1.2739369 ↗
30. Large bandgaps of two-dimensional phononic crystals with cross-like holes10.1063/1.3665205 ↗
31. Mechanism for controlling the band gap and the flat band in three-component phononic crystals10.1016/j.jpcs.2018.08.012 ↗
32. Topological phononic crystals with tunable interface state based on local resonance10.7567/1882-0786/ab3004 ↗
33. Controlling the effective bending stiffness via out-of-plane rotational resonances in elastic metamaterial thin plates10.1088/1367-2630/aae94f ↗
34. Low-frequency gaps in a phononic crystal constituted of cylindrical dots deposited on a thin homogeneous plate10.1103/PhysRevB.78.104105 ↗
35. Propagation of acoustic waves and waveguiding in a two-dimensional locally resonant phononic crystal plate10.1063/1.3513218 ↗
36. Elastic wave propagation in the elastic metamaterials containing parallel multi-resonators10.1088/1361-6463/ab2dba ↗
37. Flexural wave band gaps in metamaterial plates: a numerical and experimental study from infinite to finite models10.1016/j.jsv.2018.07.030 ↗
38. Investigation on dynamic effective parameters of perforated thin-plate acoustic metamaterials10.1088/1361-6463/ab3011 ↗
39. Mathematical modeling and analysis of a meta-plate for very low-frequency band gap10.1016/j.apm.2019.04.033 ↗
40. Acoustic multi-stopband metamaterial plates design for broadband elastic wave absorption and vibration suppression10.1016/j.ijmecsci.2015.08.024 ↗
41. Design multi-stopband laminate acoustic metamaterials for structural-acoustic coupled system10.1016/j.ymssp.2018.06.004 ↗
42. Transmission of sound through sandwich panels10.1121/1.1903474 ↗
43. Wave propagation in and sound transmission through sandwich plates10.1016/0022-460X(90)90705-5 ↗
44. Finite element investigations on the vibroacoustic performance of plane plates with random stiffness10.1080/15376494.2011.604602 ↗
45. A review of the vibroacoustics of sandwich panels: models and experiments10.1177/1099636213490588 ↗
46. Models and comparisons for the evaluation of the sound transmission loss of panels10.1177/0954406214530597 ↗
47. Improved impact responses of a honeycomb sandwich panel structure with internal resonators
48. Reduction of the sound transmission of a periodic sandwich plate using the stop band concept10.1016/j.compstruct.2015.02.053 ↗
49. Acoustic metamaterial plates for elastic wave absorption and structural vibration suppression10.1016/j.ijmecsci.2014.09.018 ↗
50. Broadband locally resonant metamaterial sandwich plate for improved noise insulation in the coincidence region10.1016/j.compstruct.2018.05.033 ↗
51. Design for structural vibration suppression in laminate acoustic metamaterials10.1016/j.compositesb.2017.07.076 ↗
52. Micro-perforated acoustic metamaterial with honeycomb-corrugation hybrid core for broadband low frequency sound absorption