FAN Yangyong,XIAO Xinbiao,HUANG Leixin,LIU Yunhang,YUAN Kezhuo,HE Yuanpeng

• 1:State Key Laboratory of Rail Transit Vehicle System
• 2: Southwest Jiaotong University
• 3:School of Mechanical Engineering
• 4: Southwest Jiaotong University

摘要(Abstract)：

Suppressing low-to-mid-frequency vibration(100–1000 Hz) in high-speed train floors remains a formidable challenge, particularly under stringent spatial constraints. This study proposes a novel perforated metamaterial support structure designed to achieve robust vibration attenuation within a strictly limited 50 mm clearance. The underlying band-gap regulation mechanisms are systematically investigated by evaluating the influence of unit-cell size on dispersion characteristics. Subsequently, the elastic wave transmission behavior of the three-dimensional(3D) support structure is examined and experimentally validated within a composite floor system. Results indicate that uniform scaling of the unit cell shifts the band gaps toward lower frequencies while preserving identical relative bandwidths. An optimal scaling factor of 1.5, corresponding to a 22.5 mm unit cell, is identified to perfectly align the principal band gap with the target frequency range. Furthermore, the transmissibility of the 3D solid support exhibits excellent agreement with two-dimensional(2D) predictions, retaining highly effective wave attenuation even when truncated to a spatially restricted 2 × 2 finite periodic array. Compared to conventional floor supports, the proposed metamaterial configuration yields a maximum improvement of 18.2 d B in average vibration attenuation across the full operational frequency range. Mechanism analysis confirms that this superior performance is fundamentally governed by the phononic band-gap effect. Ultimately, this research provides a theoretically grounded and practically viable metamaterial design scheme for high-performance, space-constrained vibration control in high-speed railways.

关键词(KeyWords)：

Abstract:

Keywords:

基金项目(Foundation): supported by the National Natural Science Foundation of China (U1934203, 52002340, 12404536)

作者(Author): FAN Yangyong,XIAO Xinbiao,HUANG Leixin,LIU Yunhang,YUAN Kezhuo,HE Yuanpeng

参考文献(References)：

• [1]Li M X, Zhu Z W, Deng T S, et al. An investigation into high-speed train interior noise with operational transfer path analysis method.Railw. Eng. Sci., 2021, 29(1):1-14
• [2]Zhang J, Yao D, Peng W, et al. Optimal design of lightweight acoustic metamaterials for low-frequency noise and vibration control of high-speed train composite floor. Appl. Acoust., 2022, 199:109041
• [3]Fan R P, Su Z Q, Meng G, et al. Application of sound intensity and partial coherence to identify interior noise sources on the high speed train. Mech. Syst. Signal Process., 2014, 46(2):481-493
• [4]Lan X D, Han J, Zhang J, et al. Interior noise characteristics, source identification and its quantification contribution of 400 km/h highspeed train in different operating environments. Appl. Acoust., 2025,228:110321
• [5]Wang D Z, Ge J M. Optimization on noise reduction characteristics of high-speed train floor based on floor absorber design. J. Vib.Meas. Diagn., 2020, 40(1):193-198(in Chinese)
• [6]Hedayatrasa S, Kersemans M, Abhary K, et al. Optimization and experimental validation of stiff porous phononic plates for widest complete bandgap of mixed fundamental guided wave modes.Mech. Syst. Signal Process., 2018, 98:786-801
• [7]Yao D, Zhang J, Lei J Y, et al. A comprehensive review of acoustic metamaterials:applications and challenges for lightweight noise control in large-scale transportation. Mater. Des., 2025, 260:115002
• [8]Hedayatrasa S, Kersemans M, Abhary K, et al. Introducing obliquely perforated phononic plates for enhanced bandgap efficiency. Materials, 2018, 11(8):1309
• [9]Wang L L. Band gap and dispersion characteristics of phononic crystal microchannels under fluid solid coupling. Sci. Rep., 2025,15:29012
• [10]Liu X W, Huang J K, Hu Y C, et al. In-plane attenuation zone and its optimization of periodic porous plates. Acta Acustica., 2019,38(1):85-98(in Chinese)
• [11]Nouh M, Aldraihem O, Baz A. Wave propagation in metamaterial plates with periodic local resonances. J. Sound Vib., 2015, 341:53-73
• [12]Gao Y T, Wang H. Comparative investigation of full bandgap behaviors of perforated auxetic metaconcretes with or without soft filler. Mater. Today Commun., 2024, 38:108526
• [13]Javid F, Wang P, Shanian A L, et al. Architected materials with ultra-low porosity for vibration control. Adv. Mater., 2016, 28(28):5943-5948
• [14]Laude V. Phononic crystals:artificial crystals for sonic, acoustic,and elastic waves. Boston:De Gruyter, 2020
• [15]Kushwaha M S, Halevi P, Dobrzynski L, et al. Acoustic band structure of periodic elastic composites. Phys. Rev. Lett., 1993, 71(13):2022-2025
• [16]Kuchment P. Floquet theory for partial differential equations. Basel:Birkh??user Basel, 1993
• [17]Zienkiewicz O C, Taylor R L, Fox D D. The finite element method for solid and structural mechanics. 7th ed. Oxford:ButterworthHeinemann, 2014
• [18]Hussein M I, Leamy M J, Ruzzene M. Dynamics of phononic materials and structures:historical origins, recent progress, and future outlook. Appl. Mech. Rev., 2014, 66(4):040802
• [19]Tang P L, Pan H Z, Workie T B, et al. Honeycomb-shaped phononic crystals on 42°Y-X LiTaO3/SiO2/poly-Si/Si substrate for improved performance and miniaturization. Micromachines, 2024,15(10):1256
• [20]Meier T, Korakis V, Blankenship B W, et al. Scalable phononic metamaterials:tunable bandgap design and multi-scale experimental validation. Mater. Des., 2025, 252:113778
• [21]Xin Y J, Cai P C, Li P, et al. Comprehensive analysis of band gap of phononic crystal structure and objective optimization based on genetic algorithm. Phys. B Condens. Matter, 2023, 667:415157
• [22]He J M, Fu Z F. Modal analysis. Oxford:Butterworth-Heinemann,2001