Lightweight multifunctional metamaterial with low-frequency vibroacoustic reduction and load-bearing performances

doi:10.1007/s10483-025-3231-6

Abstract

Abstract:

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.

Key words: multifunctional metamaterial, low-frequency sound insulation, broadband vibration reduction, load bearing

2010 MSC Number:

O321

Qi JIA, Dianlong YU, Donghai HAN, Jihong WEN. Lightweight multifunctional metamaterial with low-frequency vibroacoustic reduction and load-bearing performances. Applied Mathematics and Mechanics (English Edition), 2025, 46(3): 403-422.

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Figures/Tables 16

Fig. 1

Table 1

Geometric parameters of the VIBM unit"

Parameter	$t 1$ /mm	$t 2$ /mm	$b$ /mm	$b 1$ /mm	$θ$ /(°)	$l$ /mm	$L y$ /mm	$b 2$ /mm
Value	2	1	2	16.7	75	10	40	3.75

Table 1

Table 2

Material parameters of the VIBM unit"

Density $ρ$ /(kg·m^-3)	Young's modulus E/MPa	Poisson's ratio $ν$	Damping loss factor $γ$
150	2 650	0.42	0.05

Table 2

Fig. 2

Fig. 3

Table 3

Equivalent Poisson's ratio of the VIBM unit"

Equivalent Poisson's ratio	$ν x y$	$ν x z$	$ν y x$	$ν y z$	$ν z x$	$ν z y$
Value	$− 2.45$	$− 0.09$	$− 0.12$	0.29	0.00	0.06

Table 3

Fig. 4

Fig. 5

Fig. 6

Fig. 7

Fig. 8

Fig. 9

Fig. 10

Fig. 11

Fig. 12

Fig. 13

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