The vibrations generated by vehicles passing through cross-river bridges can be transmitted to underwater foundations, which in turn generates underwater environmental vibrations, and these long-lasting underwater environmental vibrations can be harmful to aquatic organisms. Therefore, effective vibration control measures must be applied to reduce the effects of underwater environmental vibrations. As such, the bandgap properties of phononic crystals are exploited in the present study for this vibration control. Specifically, scaled models of bridge tower and periodic piles are designed and constructed according to the design plan of a suspension bridge. Then, a reasonable phononic crystal structure is selected, and the bandgap properties are investigated by using the finite element method. Finally, the vibration attenuation test of the scale model is carried out to study the attenuation effects of the phononic crystal structure. The research shows that the optimized vibration attenuation effect of the bridge tower and the periodic piles reaches more than 80% in the theoretical band gap range of the phononic crystal. Meanwhile, the frequency range of the actual vibration attenuation is consistent with the results of the finite element calculations, which validates the reliability of the simulation and also proves the feasibility of the phononic crystal structure in the underwater low-frequency environmental vibration control of the suspension bridge.
AuFTKWangMF (2005) Sound radiation from forced vibration of rectangular orthotropic plates under moving loads. Journal of Sound and Vibration281(3): 1057–1075. https://doi.org/10.1016/j.jsv.2004.02.005
CeliMFiliciottoFMaricchioloG, et al. (2016) Vessel noise pollution as a human threat to fish: assessment of the stress response in gilthead sea bream (Sparus aurata, Linnaeus 1758). Fish Physiology and Biochemistry42(2): 631–641. https://doi.org/10.1007/s10695-015-0165-3
4.
ChenJNiuHXuJ, et al. (2025) Control of vortex-induced vibrations of a curved cable-stayed bridge by ECD-TMD. Journal of Vibration and Control31(13–14): 2501–2512. https://doi.org/10.1177/10775463241260562
5.
DaiJYangCGaiP-P, et al. (2024) Robust damping improvement against the vortex-induced vibration in flexible bridges using multiple tuned mass damper inerters. Engineering Structures313: 118221. https://doi.org/10.1016/j.engstruct.2024.118221
6.
DaradkehAMHojat JalaliH (2024) Large-scale engineered meta-barriers for attenuation of seismic surface waves. Structures64: 106542. https://doi.org/10.1016/j.istruc.2024.106542
7.
de JongKAmorimMCPFonsecaPJ, et al. (2018) Noise can affect acoustic communication and subsequent spawning success in fish. Environmental Pollution237: 814–823. https://doi.org/10.1016/j.envpol.2017.11.003
8.
DengJGaoN (2022) Broadband vibroacoustic reduction for a circular beam coupled with a curved acoustic black hole via nullspace method. International Journal of Mechanical Sciences233: 107641. https://doi.org/10.1016/j.ijmecsci.2022.107641
9.
GaoX-LChenM-RWenX-D, et al. (2023) Vibration attenuation performance of isolator based on locally resonant phononic crystal via train load. Construction and Building Materials395: 132255. https://doi.org/10.1016/j.conbuildmat.2023.132255
10.
GhoudjaniMRavanbodMEbrahimi-NejadS (2024) Genetic-algorithm-assisted design of chiral honeycomb membrane acoustic metamaterials for broadband noise suppression. Journal of Intelligent Material Systems and Structures35(18): 1426–1443. https://doi.org/10.1177/1045389x241273049
11.
HeWZouCPangY, et al. (2021) Environmental noise and vibration characteristics of rubber-spring floating slab track. Environmental Science and Pollution Research28(11): 13671–13689. https://doi.org/10.1007/s11356-020-11627-w
HuangJShiZ (2015) Vibration reduction of plane waves using periodic In-Filled pile barriers. Journal of Geotechnical and Geoenvironmental Engineering141(6): 04015018. https://doi.org/10.1061/(asce)gt.1943-5606.0001301
14.
LeiWWangQ (2024) Study on vortex-induced vibration mitigation of parallel bridges by multi-tuned mass damper inerter. Engineering Structures302: 117420. https://doi.org/10.1016/j.engstruct.2023.117420
15.
LiXLiangLWangD (2018) Vibration and noise characteristics of an elevated box girder paved with different track structures. Journal of Sound and Vibration425: 21–40. https://doi.org/10.1016/j.jsv.2018.03.031
16.
LiQDaiBZhuZ, et al. (2022) Comparison of vibration and noise characteristics of urban rail transit bridges with box-girder and U-shaped sections. Applied Acoustics186: 108494. https://doi.org/10.1016/j.apacoust.2021.108494
17.
LiYLiXDingJ (2023) Broadband low-frequency flexural wave attenuation in beam-type metastructures with double-sides inertial amplified resonators. Journal of Vibration and Control29(21–22): 4924–4934. https://doi.org/10.1177/10775463221126930
18.
LiXBiRZhengJ (2024) Vibro-acoustic characteristics of a rail transit viaduct paved with trapezoidal sleeper track. Journal of Vibration and Control30(19–20): 4637–4649. https://doi.org/10.1177/10775463231213446
19.
LiuLQinJZhouY-L, et al. (2019) Structural noise mitigation for viaduct box girder using acoustic modal contribution analysis. Structural Engineering & Mechanics72(4): 421–432.
20.
LiuQLiXXuP, et al. (2020) Acoustic radiation and dynamic study of a steel beam damped with viscoelastic material. KSCE Journal of Civil Engineering24(7): 2132–2146. https://doi.org/10.1007/s12205-020-1969-y
21.
LiuQLiXZhangX, et al. (2020) Applying constrained layer damping to reduce vibration and noise from a steel-concrete composite bridge: an experimental and numerical investigation. Journal of Sandwich Structures & Materials22(6): 1743–1769. https://doi.org/10.1177/1099636218789606
22.
LossentJLejartMFolegotT, et al. (2018) Underwater operational noise level emitted by a tidal current turbine and its potential impact on marine fauna. Marine Pollution Bulletin131: 323–334. https://doi.org/10.1016/j.marpolbul.2018.03.024
23.
MengQShiZ (2018) Propagation attenuation of plane waves in single-phased soil by periodic pile barriers. International Journal of Geomechanics18(6): 04018035. https://doi.org/10.1061/(asce)gm.1943-5622.0001157
24.
MooneyTAHanlonRTChristensen-DalsgaardJ, et al. (2010) Sound detection by the longfin squid (Loligo pealeii) studied with auditory evoked potentials: sensitivity to low-frequency particle motion and not pressure. Journal of Experimental Biology213(21): 3748–3759. https://doi.org/10.1242/jeb.048348
25.
Mousaviyan SafakhanehMFahimi FarzamMAhmadiH, et al. (2025) Vibration control of structure using active tuned mass damper: a new control algorithm. Journal of Vibration and Control31(13–14): 2908–2919. https://doi.org/10.1177/10775463241263889
26.
NedelecSLCampbellJRadfordAN, et al. (2016) Particle motion: the missing link in underwater acoustic ecology. Methods in Ecology and Evolution Fisher D7(7): 836–842. https://doi.org/10.1111/2041-210x.12544
27.
NiYShiZZervosA, et al. (2025) Periodic wave barriers for the mitigation of surface waves due to moving loads in layered soils. Soil Dynamics and Earthquake Engineering190: 109128. https://doi.org/10.1016/j.soildyn.2024.109128
28.
OuakkaSGueddidaAPennecY, et al. (2023) Efficient mitigation of railway induced vibrations using seismic metamaterials. Engineering Structures284: 115767. https://doi.org/10.1016/j.engstruct.2023.115767
QinYPangFTangY, et al. (2025) Vibration isolation characteristics of a novel composite flexible vibration-damping foundation. Journal of Vibration and Control31(5–6): 675–687. https://doi.org/10.1177/10775463241230119
32.
ShengXZhaoCYiQ, et al. (2018) Engineered metabarrier as shield from longitudinal waves: band gap properties and optimization mechanisms. Journal of Zhejiang University - Science19(9): 663–675. https://doi.org/10.1631/jzus.a1700192
SongLLiXZhengJ, et al. (2020) Vibro-acoustic analysis of a rail transit continuous rigid frame box girder bridge based on a hybrid WFE-2D BE method. Applied Acoustics157: 107028. https://doi.org/10.1016/j.apacoust.2019.107028
35.
SongXZhangXXiongW, et al. (2020) Experimental and numerical study on underwater noise radiation from an underwater tunnel. Environmental Pollution267: 115536. https://doi.org/10.1016/j.envpol.2020.115536
36.
SongXLuWXiongW, et al. (2024) Sound contribution of the low frequency underwater noise radiated from a suspension bridge. Journal of Low Frequency Noise, Vibration and Active Control43(1): 3–19. https://doi.org/10.1177/14613484231190460
37.
SongXYinLXiongW, et al. (2024) Underwater noise prediction and control of a cross-river subway tunnel: an experimental and numerical study. International Journal of Environmental Science and Technology21(4): 4045–4062. https://doi.org/10.1007/s13762-023-05259-z
38.
SunGKongGLiuH, et al. (2017) Vibration velocity of X-section cast-in-place concrete (XCC) pile–raft foundation model for a ballastless track. Canadian Geotechnical Journal54(9): 1340–1345. https://doi.org/10.1139/cgj-2015-0623
39.
te VeldeKSlabbekoornH (2024) Acoustic profiles of underwater soundscapes affected by road traffic. In: The Effects of Noise on Aquatic Life. Cham: Springer, pp. 1–15. Available at. https://doi.org/10.1007/978-3-031-10417-6_191-1(accessed 17 November 2025).
40.
VoellmyIKPurserJFlynnD, et al. (2014) Acoustic noise reduces foraging success in two sympatric fish species via different mechanisms. Animal Behaviour89: 191–198. https://doi.org/10.1016/j.anbehav.2013.12.029
41.
WangPYiQZhaoC, et al. (2018) Wave propagation control in periodic track structure through local resonance mechanism. Journal of Central South University25(12): 3062–3074. https://doi.org/10.1007/s11771-018-3974-6
42.
WangLNagarajaiahSShiW, et al. (2021) Semi-active control of walking-induced vibrations in bridges using adaptive tuned mass damper considering human-structure-interaction. Engineering Structures244: 112743. https://doi.org/10.1016/j.engstruct.2021.112743
43.
WangQMiaoLZhengH, et al. (2024) Design of elastic metamaterial plate and application in subway vibration isolation. Applied Physics A130(8): 557. https://doi.org/10.1007/s00339-024-07691-5
44.
WuTLiuJ (2012) Sound emission comparisons between the box-section and U-section concrete viaducts for elevated railway. Noise Control Engineering Journal60(4): 450–457. https://doi.org/10.3397/1.3701023
45.
WuXSunLZuoS, et al. (2019) Vibration reduction of car body based on 2D dual-base locally resonant phononic crystal. Applied Acoustics151: 1–9. https://doi.org/10.1016/j.apacoust.2019.02.020
46.
XuKBiKGeY, et al. (2020) Performance evaluation of inerter‐based dampers for vortex‐induced vibration control of long‐span bridges: a comparative study. Structural Control and Health Monitoring27(6): e2529. Available at: https://doi.org/10.1002/stc.2529
47.
XuYHaoYZhangW, et al. (2024) Band gaps and dynamics of locally resonant meta-plate with stiffness adjustable low frequency resonator. Journal of Vibration and Control30(23–24): 5274–5286. https://doi.org/10.1177/10775463231220434
48.
YangSChangHWangY, et al. (2024) A phononic crystal suspension for vibration isolation of acoustic loads in underwater gliders. Applied Acoustics216: 109731. https://doi.org/10.1016/j.apacoust.2023.109731
49.
ZhangC (2023) The active rotary inertia driver system for flutter vibration control of bridges and various promising applications. Science China Technological Sciences66(2): 390–405. https://doi.org/10.1007/s11431-022-2228-0
50.
ZhangCLiH (2025) Active control for construction stability of suspension arch rib segments based on ARID system. International Journal of Structural Stability and Dynamics25(24): 2540009. https://doi.org/10.1142/s0219455425400097
51.
ZhangXLiXLiuQ, et al. (2013) Theoretical and experimental investigation on bridge-borne noise under moving high-speed train. Science China Technological Sciences56(4): 917–924. https://doi.org/10.1007/s11431-013-5146-0
52.
ZhangXZhangXYangJ, et al. (2023) Mechanism of noise reduction caused by thickening top plate for high-speed railway box-girder bridge. Structures57: 105148. https://doi.org/10.1016/j.istruc.2023.105148
53.
ZhangZZhangZJinX (2023) Investigation on band gap mechanism and vibration attenuation characteristics of cantilever-beam-type power-exponent prismatic phononic crystal plates. Applied Acoustics206: 109314. https://doi.org/10.1016/j.apacoust.2023.109314
54.
ZhangYZhengGDiaoY, et al. (2025) Experimental investigation on periodic capsule barriers vibration isolation based on band gap theory. Transportation Geotechnics55: 101668. https://doi.org/10.1016/j.trgeo.2025.101668
55.
ZhaoCZhengJSangT, et al. (2021) Computational analysis of phononic crystal vibration isolators via FEM coupled with the acoustic black hole effect to attenuate railway-induced vibration. Construction and Building Materials283: 122802. https://doi.org/10.1016/j.conbuildmat.2021.122802
56.
ZhengHMiaoLXiaoP, et al. (2024) Novel metamaterial foundation with multi low-frequency bandgaps for isolating earthquakes and train vibrations. Structures61: 106070. https://doi.org/10.1016/j.istruc.2024.106070
