Applied Mathematics and Mechanics >
Lightweight multifunctional metamaterial with low-frequency vibroacoustic reduction and load-bearing performances
Received date: 2024-10-09
Revised date: 2024-12-18
Online published: 2025-03-03
Supported by
Project supported by the National Natural Science Foundation of China (Nos. 11991032 and 52241103) and the Hunan Province Graduate Research Innovation Project of China (No. KY0409052440)
Copyright
Metamaterials can control and manipulate acoustic/elastic waves on a subwavelength scale using cavities or additional components. However, the large cavity and weak stiffness components of traditional metamaterials may cause a conflict between vibroacoustic reduction and load-bearing capacity, and thus limit their application. Here, we propose a lightweight multifunctional metamaterial that can simultaneously achieve low-frequency sound insulation, broadband vibration reduction, and excellent load-bearing performance, named as vibroacoustic isolation and bearing metamaterial (VIBM). The advent of additive manufacturing technology provides a convenient and reliable method for the fabrication of VIBM samples. The results show that the compressive strength of the VIBM is as high as 9.71 MPa, which is nearly 87.81% higher than that of the conventional grid structure (CGS) under the same volume fraction. Moreover, the vibration and sound transmission are significantly reduced over a low and wide frequency range, which agrees well with the experimental data, and the reduction degree is obviously larger than that obtained by the CGS. The design strategy can effectively realize the key components of metamaterials and improve their application scenarios.
Qi JIA, Dianlong YU, Donghai HAN, Jihong WEN . Lightweight multifunctional metamaterial with low-frequency vibroacoustic reduction and load-bearing performances[J]. Applied Mathematics and Mechanics, 2025 , 46(3) : 403 -422 . DOI: 10.1007/s10483-025-3231-6
| [1] | JANSSEN, S., VAN BELLE, L., DE MELO FILHO, N. G. R., DESMET, W., CLAEYS, C., and DECKERS, E. Improving the noise insulation performance of vibro-acoustic metamaterial panels through multi-resonant design. Applied Acoustics, 213, 109622 (2023) |
| [2] | YAN, G., ZOU, H. X., WANG, S., ZHAO, L. C., WU, Z. Y., and ZHANG, W. M. Bio-inspired vibration isolation: methodology and design. Applied Mechanics Reviews, 73(2), 020801 (2021) |
| [3] | DELPERO, T., SCHOENWALD, S., ZEMP, A., and BERGAMINI, A. Structural engineering of three-dimensional phononic crystals. Journal of Sound and Vibration, 363, 156–165 (2016) |
| [4] | SALSA-JUNIOR, R. G., SALES, T. D. P., and RADE, D. A. Optimization of vibration band gaps in damped lattice metamaterials. Latin American Journal of Solids and Structures, 20, e493 (2023) |
| [5] | LI, Z. D., ZHAI, W., LI, X. W., YU, X., GUO, Z. C., and WANG, Z. G. Additively manufactured dual-functional metamaterials with customisable mechanical and sound-absorbing properties. Virtual and Physical Prototyping, 17(4), 864–880 (2022) |
| [6] | ALIBAKHSHIKENARI, M., ALI, E. M., SORURI, M., DALARSSON, M., NASER-MOGHADASI, M., VIRDEE, B. S., STEFANOVIC, C., PIETRENKO-DABROWSKA, A., KOZIEL, S., and SZCZEPANSKI, S. A comprehensive survey on antennas on-chip based on metamaterial, metasurface, and substrate integrated waveguide principles for millimeter-waves and terahertz integrated circuits and systems. IEEE Access, 10, 3668–3692 (2022) |
| [7] | SHAN, S. B., WEN, F. Z., and CHENG, L. Purified nonlinear guided waves through a metamaterial filter for inspection of material microstructural changes. Smart Materials and Structures, 30(9), 095017 (2021) |
| [8] | YANG, R., ZHANG, X. D., and WANG, G. A hybrid acoustic cloaking based on binary splitting metasurfaces and near-zero-index metamaterials. Applied Physics Letters, 120(2), 021603 (2022) |
| [9] | CHEONG, Y. J., KWON, H. S., and POPA, B. I. Metamaterial characterization from far-field acoustic wave measurements using convolutional neural network. Frontiers in Physics, 10, 1138 (2022) |
| [10] | XIAO, Y., WEN, J. H., and WEN, X. S. Broadband locally resonant beams containing multiple periodic arrays of attached resonators. Physics Letters A, 376(16), 1384–1390 (2012) |
| [11] | MIZUKAMI, K. and KUMAMOTO, Y. 3D printing of fiber composite sandwich metamaterial with spiral resonators for attenuation of low-frequency structural vibration. Composites Part A: Applied Science and Manufacturing, 172, 107594 (2023) |
| [12] | BARNHART, M. V., XU, X. C., CHEN, Y. Y., ZHANG, S., SONG, J. Z., and HUANG, G. L. Experimental demonstration of a dissipative multi-resonator metamaterial for broadband elastic wave attenuation. Journal of Sound and Vibration, 438, 1–12 (2019) |
| [13] | CHEN, H., LI, X. P., CHEN, Y. Y., and HUANG, G. L. Wave propagation and absorption of sandwich beams containing interior dissipative multi-resonators. Ultrasonics, 76, 99–108 (2017) |
| [14] | YILMAZ, C., HULBERT, G. M., and KIKUCHI, N. Phononic band gaps induced by inertial amplification in periodic media. Physical Review B: Condensed Matter and Materials Physics, 76(5), 054309 (2007) |
| [15] | FEURTADO, P. A. and CONLON, S. C. An experimental investigation of acoustic black hole dynamics at low, mid, and high frequencies. Journal of Vibration and Acoustics, 138(6), 061002 (2016) |
| [16] | MEI, J., YANG, M., YANG, Z. Y., CHAN, N. H., and SHENG, P. Membrane-type acoustic metamaterial with negative dynamic mass (in Chinese). Physics, 39(4), 243–247 (2010) |
| [17] | NAIFY, C. J., CHANG, C. M., MCKNIGHT, G., and NUTT, S. Transmission loss of membrane-type acoustic metamaterials with coaxial ring masses. Journal of Applied Physics, 110(12), 124903 (2011) |
| [18] | MENG, H., GALLAND, M. A., ICHCHOU, M., BAREILLE, O., XIN, F., and LU, T. Small perforations in corrugated sandwich panel significantly enhance low frequency sound absorption and transmission loss. Composite Structures, 182, 1–11 (2017) |
| [19] | YAMAMOTO, T. Acoustic metamaterial plate embedded with Helmholtz resonators for extraordinary sound transmission loss. Journal of Applied Physics, 123(21), 215110 (2018) |
| [20] | MASON, J. and FAHY, F. The use of acoustically tuned resonators to improve the sound transmission loss of double-panel partitions. Journal of Sound and Vibration, 124(2), 367–379 (1988) |
| [21] | PRYDZ, R., WIRT, L., KUNTZ, H., and POPE, L. Transmission loss of a multilayer panel with internal tuned Helmholtz resonators. The Journal of the Acoustical Society of America, 87(4), 1597–1602 (1990) |
| [22] | SUGIE, S., YOSHIMURA, J., and IWASE, T. Effect of inserting a Helmholtz resonator on sound insulation in a double-leaf partition cavity. Acoustical Science and Technology, 30(5), 317–326 (2009) |
| [23] | LANGFELDT, F., HOPPEN, H., and GLEINE, W. Broadband low-frequency sound transmission loss improvement of double walls with Helmholtz resonators. Journal of Sound and Vibration, 476, 115309 (2020) |
| [24] | LI, L. B., YANG, F., GUO, Z. M., WU, J. C., LU, G. X., and FAN, H. L. Truss-plate hybrid lattice metamaterials with broadband vibration attenuation and enhanced energy absorption. Virtual and Physical Prototyping, 19(1), e2345386 (2024) |
| [25] | BERTOLDI, K., VITELLI, V., CHRISTENSEN, J., and VAN HECKE, M. Flexible mechanical metamaterials. Nature Reviews Materials, 2(11), 1–11 (2017) |
| [26] | YU, R. H., RUI, S. T., WANG, X. Z., and MA, F. Y. An integrated load-bearing and vibration-isolation supporter with decorated metamaterial absorbers. International Journal of Mechanical Sciences, 253, 108406 (2023) |
| [27] | RUI, S. T., ZHANG, W. Q., YU, R. H., WANG, X. Z., and MA, F. Y. A multi-band elastic metamaterial for low-frequency multi-polarization vibration absorption. Mechanical Systems and Signal Processing, 216, 111464 (2024) |
| [28] | ZHANG, C., ZHANG, D., YIN, F. J., GUO, M. J., MA, F. Y., and WU, C. J. “Borrow-force-attack-force” by multi-scale elastic metamaterial with nonlinear damping. Composites Part B: Engineering, 288, 111884 (2025) |
| [29] | ZOLFAGHARIAN, A., BODAGHI, M., HAMZEHEI, R., PARR, L., FARD, M., and ROLFE, B. F. 3D-printed programmable mechanical metamaterials for vibration isolation and buckling control. Sustainability, 14(11), 6831 (2022) |
| [30] | ALSHAQAQ, M. and ERTURK, A. Graded multifunctional piezoelectric metastructures for wideband vibration attenuation and energy harvesting. Smart Materials and Structures, 30(1), 015029 (2020) |
| [31] | ANDREW, J. J., ALHASHMI, H., SCHIFFER, A., KUMAR, S., and DESHPANDE, V. S. Energy absorption and self-sensing performance of 3D printed CF/PEEK cellular composites. Materials & Design, 208, 109863 (2021) |
| [32] | WANG, Y., ZHAO, H. G., YANG, H. B., LIU, J. W., YU, D. L., and WEN, J. H. Topological design of lattice materials with application to underwater sound insulation. Mechanical Systems and Signal Processing, 171, 108911 (2022) |
| [33] | XIAO, Z. F., YANG, Y. Q., XIAO, R., BAI, Y. C., SONG, C. H., and WANG, D. Evaluation of topology-optimized lattice structures manufactured via selective laser melting. Materials & Design, 143, 27–37 (2018) |
| [34] | FAN, J. X., SONG, B., ZHANG, L., WANG, X. B., ZHANG, Z., WEI, S. S., XIANG, X., ZHU, X. F., and SHI, Y. S. Structural design and additive manufacturing of multifunctional metamaterials with low-frequency sound absorption and load-bearing performances. International Journal of Mechanical Sciences, 238, 107848 (2023) |
| [35] | ZHANG, X. Y., REN, X., ZHANG, Y., and XIE, Y. M. A novel auxetic metamaterial with enhanced mechanical properties and tunable auxeticity. Thin-Walled Structures, 174, 109162 (2022) |
| [36] | NOUH, M., ALDRAIHEM, O., and BAZ, A. Wave propagation in metamaterial plates with periodic local resonances. Journal of Sound and Vibration, 341, 53–73 (2015) |
| [37] | LI, Y. Q., XIAO, Y., GUO, J. J., ZHU, Z. J., and WEN, J. H. Single-phase metabeam for three-directional broadband vibration suppression. International Journal of Mechanical Sciences, 234, 107683 (2022) |
| [38] | LI, L. X., JIA, Q., TONG, M. J., LI, P. G., and ZHANG, X. C. Radial seismic metamaterials with ultra-low frequency broadband characteristics. Journal of Physics D: Applied Physics, 54(50), 505104 (2021) |
| [39] | LIN, Q. H., LIN, Q. L., WANG, Y. H., and DI, G. Q. Sound insulation performance of sandwich structure compounded with a resonant acoustic metamaterial. Composite Structures, 273, 114312 (2021) |
| [40] | GUO, J. J., XIAO, Y., ZHANG, S. F., and WEN, J. H. Bloch wave based method for dynamic homogenization and vibration analysis of lattice truss core sandwich structures. Composite Structures, 229, 111437 (2019) |
| [41] | ELMADIH, W., CHRONOPOULOS, D., and ZHU, J. Metamaterials for simultaneous acoustic and elastic bandgaps. Scientific Reports, 11(1), 14635 (2021) |
| [42] | BILAL, O. R., BALLAGI, D., and DARAIO, C. Architected lattices for simultaneous broadband attenuation of airborne sound and mechanical vibrations in all directions. Physical Review Applied, 10(5), 054060 (2018) |
| [43] | CHEN, C. M., GUO, Z. F., LIU, S. T., FENG, H. D., and QIAO, C. X. Hybrid acousto-elastic metamaterials for simultaneous control of low-frequency sound and vibration. Journal of Applied Physics, 129(5), 054902 (2021) |
| [44] | KHEYBARI, M., DARAIO, C., and BILAL, O. R. Tunable auxetic metamaterials for simultaneous attenuation of airborne sound and elastic vibrations in all directions. Applied Physics Letters, 121(8), 081702 (2022) |
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