Research on the characterization and optimization of the acoustic environment in command posts based on metamaterials and particle swarm algorithm
Abstract
We investigated the acoustic environment of a military command post, focusing on two conflicting needs: protecting speech privacy while maintaining clear internal communication. A finite element model of a 248.17 m3 command post was built, combining geometric acoustics with ray tracing. To reduce diesel generator noise, we introduced parallel unequal-cavity acoustic metamaterials on both the source and the walls. Field measurements showed that enclosing the generator reduced its average sound pressure level from 90.4 dB to 73.8 dB. In simulations, applying the metamaterials to the walls shortened the reverberation time T60 from 0.81 s–2.13 s down to 0.4 s–1.6 s—but the improvement varied strongly with frequency. The largest drop occurred at 500 Hz (1.6 s to 0.4 s), with smaller reductions at 250 Hz and 1,000 Hz, and almost no change at 125 Hz or 8,000 Hz. Broadband speech transmission index (STI) improved from 0.44–0.69 to 0.52–0.95, averaging above 0.65. We then used particle swarm optimization to find the best source position within the already-optimized room. After 50 iterations, the 500 Hz equivalent per-band STI contributions exceeded 0.84 across most receivers and reached above 0.99 at several locations; other bands (250 Hz–4,000 Hz) stayed between 0.60 and 0.75. Overall, combining acoustic metamaterials with intelligent source placement appears to significantly improve the command post acoustic environment—a finding that may inform noise control strategies for similar military facilities.
Copyright (c) 2026 Jiaojiao Zhang, TengYue Pan, Fei Yang, Wenqiang Peng, Xinmin Shen, Xiaonan Zhang

This work is licensed under a Creative Commons Attribution 4.0 International License.
References
[1]Schultz MJ, DiCiurcio WT, Kwan SA, et al. Are orthopedic shoulder and elbow surgeons at risk for noise-induced hearing loss? Seminars in Arthroplasty: JSES. 2025; 35: 599–603. doi: 10.1053/j.sart.2025.05.007
[2]Hamzah N, Mutallimov T, Panaitescu CT, et al. A digital twin approach to noise exposure modelling and risk analysis. Ocean Engineering. 2026; 343: 123629. doi: 10.1016/j.oceaneng.2025.123629
[3]Chen Z, Fei T, Xiao J, et al. Estimating urban noise levels from Multi-Scale and Multi-Spectral remote sensing imagery. International Journal of Applied Earth Observation and Geoinformation. 2025; 143: 104818. doi: 10.1016/j.jag.2025.104818
[4]Chen Y, Wang S, Fang Q, et al. Impact of noise exposure during emergence on acute pain after orthopedic surgery: A prospective observational study. International Journal of Nursing Studies. 2025; 172: 105223. doi: 10.1016/j.ijnurstu.2025.105223
[5]Chong D, Xu M, Chen J, et al. Investing the impairment of worker’s risk cognitive ability caused by environmental noises during building construction. Building and Environment. 2025; 279: 113061. doi: 10.1016/j.buildenv.2025.113061
[6]Da Silva CMB. Air Quality and Noise Level in a Shooting Range: A Case Study [Master’s Thesis]. University of Coimbra; 2015. (in Portuguese)
[7]Yin W, Zhang S, Yang L, et al. Occupational noise exposure and ASCVD risk in Chinese workers: The cross-lag mediating role of free fatty acids. Environmental Research. 2025; 286: 122825. doi: 10.1016/j.envres.2025.122825
[8]Paddan GS, Howell MJ. Measurement and analysis of noise produced by 'flash-bang' hand grenade distraction devices. Applied Acoustics. 2025; 237: 110755. doi: 10.1016/j.apacoust.2025.110755
[9]de Jong K, Murray CC, Anabitarte A, et al. Trade-offs and synergies in the management of environmental pressures: A case study on ship noise mitigation. Marine Pollution Bulletin. 2025; 218: 118073. doi: 10.1016/j.marpolbul.2025.118073
[10]Yang F, Fan YL, Yang JS, et al. A new cylindrical acoustic metamaterial for low-frequency vibration attenuation. Structures. 2025; 75: 108867. doi: 10.1016/j.istruc.2025.108867
[11]Gao Z, Ma Q, Yang J, et al. Origami-based acoustic metamaterial for low-frequency adjustable sound absorption. Journal of Sound and Vibration. 2025; 618: 119334. doi: 10.1016/j.jsv.2025.119334
[12]Gao N, Liu X, Wu JH. Origami-based tunable acoustic metamaterials with sound-mass regulation strategy for low-frequency broadband absorption. Composite Structures. 2025; 371: 119523. doi: 10.1016/j.compstruct.2025.119523
[13]Zheng W, Tang Y, Yang R, et al. Self-reactive, in-situ generated PUA aerogels: Synergistic low-frequency noise attenuation via metamaterial-like structures and dynamically variation of acoustic impedance. Chemical Engineering Journal. 2025; 523: 168465. doi: 10.1016/j.cej.2025.168465
[14]Lu JH, Ding S, Zhou K, et al. Kolmogorov-Arnold networks-optimized honeycomb acoustic metamaterials for railway noise control. International Journal of Mechanical Sciences. 2025; 303: 110672. doi: 10.1016/j.ijmecsci.2025.110672
[15]Feng F, Diao L, He C, et al. Topology optimization of multi-material acoustic metamaterials for low-frequency and broadband sound absorption. Materials & Design. 2025; 254: 114136. doi: 10.1016/j.matdes.2025.114136
[16]Wang X, Xiao X, Han J, et al. Honeycomb-cored hierarchical acoustic metamaterials: A synergistically coupled architecture for enhanced broadband sound absorption. Composite Structures. 2025; 370: 119409. doi: 10.1016/j.compstruct.2025.119409
[17]Wang X, Sun P, Gu X, et al. Industrial-scale manufactured acoustic metamaterials for multi-bandgap sound reduction. International Journal of Mechanical Sciences. 2025; 293: 110184. doi: 10.1016/j.ijmecsci.2025.110184
[18]Zhang X, Geng M, Zhao C, et al. Multi-gradient acoustic black hole metamaterial for near-perfect sound Attenuation: Theory, simulation and experiments. Applied Acoustics. 2025; 231: 110546. doi: 10.1016/j.apacoust.2025.110546
[19]Li Y, Liang G, Li M, et al. Plasma-textured bamboo metamaterials with tree frog-inspired hierarchical topography and self-healing interface for synergistic acoustics. Composites Science and Technology. 2025; 272: 111394. doi: 10.1016/j.compscitech.2025.111394
[20]Xu Y, Hong Y, Li M, et al. Underwater low-frequency sound absorption performance and broadband absorption design of membrane-type acoustic metamaterials. Applied Acoustics. 2023; 214: 109676. doi: 10.1016/j.apacoust.2023.109676
[21]Lee JS, Kim BH, Kim BH. A Study on Optimization of Noise Reduction of Auxiliary Power Unit for Military Tracked Vehicle. Journal of Korea Academia-Industrial cooperation Society. 2018; 19: 336–342. doi: 10.5762/kais.2018.19.8.336
[22]Morgan J. Development of the Fluid Insert Noise Reduction Method Investigating Azimuthal Asymmetry [PhD Thesis]. University Libraries; 2018.
[23]Delle Macchie S, Secchi S, Cellai G. Acoustic Issues in Open Plan Offices: A Typological Analysis. Buildings. 2018; 8: 161. doi: 10.3390/buildings8110161
[24]Choi JY, Nam J, Yuk H, et al. Proposal of retrofit of historic buildings as cafes in Korea: Recycling biomaterials to improve building energy and acoustic performance. Energy and Buildings. 2023; 287: 112988. doi: 10.1016/j.enbuild.2023.112988
[25]Saffari A, Zahiri SH, Khishe M. Automatic recognition of sonar targets using feature selection in micro-Doppler signature. Defence Technology. 2023; 20: 58–71. doi: 10.1016/j.dt.2022.05.007
[26]Lu H, Zhang B, Xu W, et al. Enhancing bonding reliability of solid propellant grain based on FFTA and PSO-GRNN. Defence Technology. 2025; 51: 184–200. doi: 10.1016/j.dt.2025.05.007
[27]Wu Z, Luo Y, Hu S. Optimization of jamming formation of USV offboard active decoy clusters based on an improved PSO algorithm. Defence Technology. 2024; 32: 529–540. doi: 10.1016/j.dt.2023.03.017
[28]Li H. Recognition model and algorithm of projectiles by combining particle swarm optimization support vector and spatial-temporal constrain. Defence Technology. 2023; 27: 273–283. doi: 10.1016/j.dt.2022.08.003
[29]Pang S, Chen X, Xu J, et al. Research on equation of state parameters for high-energy solid propellants based on improved cylinder test and particle swarm optimization. Defence Technology. 2025; 47: 152–163. doi: 10.1016/j.dt.2024.12.001
[30]Pan T, Yang F, Jiang C, et al. Structural Optimization and Performance Analysis of Acoustic Metamaterials with Parallel Unequal Cavities. Materials. 2025; 18: 3087. doi: 10.3390/ma18133087
[31]Wibowo A, Permanasari AE, Adji TB. Enhanced code smell detection using random forest optimized with particle swarm variants. Results in Engineering. 2026; 29: 109729. doi: 10.1016/j.rineng.2026.109729
[32]Jiang T, Chu SC, Pan JS, et al. Large language model-driven dynamic communication strategy generation for multi-swarm particle swarm optimization. Engineering Applications of Artificial Intelligence. 2026; 167: 113920. doi: 10.1016/j.engappai.2026.113920
[33]Hamza E, Faysal YM, Jalal S. Optimal Design of Hydrogen Storage-based Hybrid Renewable Systems: A Case Study Using the Particle Swarm Optimization (PSO) Algorithm in Meknes, Morocco. Scientific African. 2026; 32: e03301. doi: 10.1016/j.sciaf.2026.e03301
[34]Li MW, Wang YT, Yan SJ, et al. An optimization method for tidal current turbine array layout based on particle swarm optimization. Energy. 2026; 348: 140583. doi: 10.1016/j.energy.2026.140583
[35]Casas-Ordaz A, Haro EH, Beltran LA, et al. Particle swarm optimization: A survey of innovations over the last 10 years. Computer Science Review. 2026; 60: 100910. doi: 10.1016/j.cosrev.2026.100910
[36]GB/T3785.1-2023. Electroacoustics—Sound Level Meters—Part 1: Specifications. Standards Press of China; 2023.
[37]IEC61260:2016. Electroacoustics—Octave-Band and Fractional-Octave-Band Filters. Standards Press of China; 2016.
[38]GB/T15173-2010. Electroacoustics—Sound Calibrators. Standards Press of China; 2011.
[39]GB/T3767-2016. Acoustics—Determination of Sound Power Levels and Sound Energy Levels of Noise Sources Using Sound Pressure—Engineering Methods for an Essentially Free Field over a Reflecting Plane. Standards Press of China; 2016.
[40]GB/T2820.10-2002. Reciprocating Internal Combustion Engine Driven Alternating Current Generating Sets—Part 10: Measurement of Airborne Noise by the Enveloping Surface Method. Standards Press of China; 2003.
[41]GJB1488A-2020. General Test Methods for Military Electric Power Plant with Internal Combustion Engines. Standards Press of China; 2020.




