| 673 | 7 | 134 |
| 下载次数 | 被引频次 | 阅读次数 |
基于局域共振理论，提出了一种耦合声学黑洞结构的新型轻质声子晶体，利用声学黑洞结构的低频、宽频带和多模态特性，拓宽了低频带隙。借助有限元方法，计算了新型声子晶体的能带结构、本征模态和衰减特性，研究了其带隙产生机理，分析了声学黑洞结构尺寸等几何参数对带隙的影响规律。结果表明：新型声子晶体在1 600 Hz频段内具有多个带隙，第1完全带隙为12～805 Hz,40 Hz以下的带隙覆盖率为70%,1 600 Hz内的带隙覆盖率达到97.3%。第1完全带隙的起始频率和截止频率主要由散射体和声学黑洞结构的振动模式决定。第1完全带隙起始频率随着声学黑洞结构短边高度的增加而增大，声学黑洞结构宽度、短边高度以及连接短板高度对截止频率和带隙宽度有显著影响。
Abstract：A phononic crystal coupled with the acoustic black hole structure was proposed based on the local resonance theory. The low frequency band gap was widened by utilizing the low frequency, broad band gap, and multi-modal properties of the acoustic black hole structure. The energy band structure, eigenmodes and attenuation characteristics of the phononic crystal were calculated by the finite element method. The generation mechanism of its band gap was analyzed, and the influence of the geometric parameters(i.e., the structural parameters of the acoustic black hole) on the band gap was discussed. The results show that the phononic crystal has multiple band gaps at 1 600 Hz, and the first complete band gap ranges from 12 to 805 Hz. The band gap coverage below 40 Hz is 70%, and the band gap coverage within 1 600 Hz reaches 97.3%. The starting and cut-off frequencies of the first complete band gap are mainly determined by the vibrational modes of the scatterer and the acoustic black hole structure. The starting frequency of the first complete band gap increases with increasing the height of the acoustic black hole structure short side. The width and short side height of the acoustic black hole structure and the height of the short plate have an effect on the cut-off frequency and the width of the first complete band gap.
[1]周曦亚,凡波.吸声材料研究的进展[J].中国陶瓷, 2022, 25(2):26–29.ZHOU Xiya, FAN Bo. Chin Ceram(in Chinese), 2022, 25(2):26–29.
[2]孙晓静.地铁列车振动对环境影响的预测研究及减振措施分析[D].北京:北京交通大学, 2008.SUN Xiaojing. Prediction of environment vibrations induced by metro trains and mitigation measures analysis(in Chinese, dissertation).Beijing:Beijing Jiaotong University, 2008.
[3]吴九汇,马富银,张思文,等.声学超材料在低频减振降噪中的应用评述[J].机械工程学报, 2016, 52(13):68–78.WU Jiuhui, MA Fuyin, ZHANG Siwen, et al. J Mech Eng(in Chinese),2016, 52(13):68–78.
[4]祁鹏山,杜军,姜久龙,等.新型局域共振声子晶体结构的低频带隙特性研究[J].人工晶体学报, 2016, 45(4):1094–1099.QI Pengshan, DU Jun, JIANG Jiulong, et al. J Synth Cryst(in Chinese),2016, 45(4):1094–1099.
[5]汤璐嘉,吕延军,刘成,等.局域共振型声子晶体梁的动态模型和带隙[J].振动测试与诊断, 2021, 41(6):1132-1137.TANG Lujia, LV Yanjun, LIU Cheng, et al. J Vib Meas Diag(in Chinese), 2021, 41(6):1132–1137.
[6] LIU Z, ZHANG X, MAO Y, et al. Locally resonant sonic materials[J].Science, 2000, 289(5485):1734–1736.
[7]张思文,吴九汇.局域共振复合单元声子晶体结构的低频带隙特性研究[J].物理学报, 2016(13):134302.ZHANG Siwen, WU Jiuhui. Acta Phys Sin(in Chinese), 2016(13):134302.
[8] LI S, DOU Y, XU J, et al. Designing a broad locally-resonant bandgap in a phononic crystals[J]. Phys Lett A, 2019, 383:1371–1377.
[9]何宇漾.声子晶体结构板件在车内噪声控制中的应用研究[J].噪声与振动控制, 2020, 40(6):193–197.HE Yuyang. Noise Vib Control(in Chinese), 2020, 40(6):193–197.
[10] QI Y, SONG T, WEN X D, et al. Simulations on the wide bandgap characteristics of a two-dimensional tapered scatterer phononic crystal slab at low frequency[J]. Phys Lett A, 2020, 384(35):126885.
[11]康太凤,孙小伟,宋婷,等.二维空心散射体声子晶体板的低频带隙特性及其形成机理[J].声学学报, 2020, 45(4):601–608.KANG Taifeng, SUN Xiaowei, SONG Ting, et al. Acta Acust(in Chinese), 2020, 45(4):601–608.
[12]刘威,何泽银,范爱军,等.双侧空心不对称散射体声子晶体带隙机理[J].硅酸盐学报, 2022, 50(3):775–781.LIU Wei, HE Zeyin, FAN Aijun, et al. J Chin Ceram Soc, 2022, 50(3):775–781.
[13]付吉云.基于声固耦合模型的轻型客车车内低频噪声分析与控制[D].吉林:吉林大学, 2016.FU Jiyun. Analysis and control of light bus interior low frequency noise based on structural-acoustic coupling model(in Chinese,dissertation). Jilin:Jilin University, 2016.
[14] KRYLOV V V, TILMAN F. Acoustic'black holes'for flexural waves as effective vibration dampers[J]. J Sound Vib, 2004, 274(3–5):605–619.
[15] FARHAT M, ENOCH S, GUENNEAU S, et al. Broadband cylindrical acoustic cloak for linear surface waves in a fluid[J]. Phys Rev Lett,2008, 101(13):134501.
[16] JI H, LIANG Y, QIU J, et al. Enhancement of vibration based energy harvesting using compound acoustic black holes[J]. Mech Syst Sign Process, 2019, 132:441–456.
[17] ZHAO C, ZHENG J, SANG T, et al. Computational analysis of phononic crystal vibration isolators via FEM coupled with the acoustic black hole effect to attenuate railway-induced vibration[J]. Constr Build Mater, 2021, 283(4):122802.
[18]何璞,王小东,季宏丽,等.基于声学黑洞的盒式结构全频带振动控制[J].航空学报, 2020, 4(4):129–138.HE Pu, WANG Xiaodong, JI Hongli, et al. Acta Aeronautica ET Astronaut Sin(in Chinese), 2020, 4(4):129–138.
[19] XU Y L, TIAN X G, CHEN C Q. Band structures of two dimensional solid/air hierarchical phononic crystals[J]. Phys B, 2012, 407(12):1995–2001.
[20]王刚.声子晶体局域共振带隙机理及减振特性研究[D].长沙:国防科学技术大学, 2005.WANG Gang. Research on the mechanism and the vibration attenuation characteristic of locally resonant band gap in phononic crystals(in Chinese, dissertation). Changsha:National University of Defense Technology, 2005.
[21]鲍岳,刘献栋,梁浩鸣,等.声学黑洞能量汇聚效应及阻尼耗能机理研究[J].汽车技术, 2020(5):1-10.BAO Yue, LIU Xiandong, LIANG Haoming, et al. Automob Technol(in Chinese), 2020(5):1–10.
[22]朱龙翔,王悦民,宗侣,等.基于模态分析方法的管道导波频散曲线计算[J].海军工程大学学报, 2014, 26(6):64–68.ZHU Longxiang, WANG Yuemin, ZONG Lv, et al. J Nav Univ Eng(in Chinese), 2014, 26(6):64–68.
基本信息:
DOI：10.14062/j.issn.0454-5648.20220613
中图分类号:O735;TB53
引用信息:
[1]陈俊豪,曾晓辉,谢友均,等.耦合声学黑洞结构的轻质声子晶体低频带隙机理[J].硅酸盐学报,2023,51(01):226-234.DOI:10.14062/j.issn.0454-5648.20220613.
基金信息:
国家自然科学基金项目(52078490,11790283)
2022-07-29
2022
2022-11-23
2022-11-23
2022
1
2022-11-29
2022-11-29
2022-11-29