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Band gap characteristics analysis of a phononic crystal double-layer beam structure based on multi-layer S-type local oscillator |
SHEN Chaoming1,HUANG Jie1,CHEN Molin1,QIAN Denghui1,WANG Jianchun2,ZHUANG Jiawei1 |
1.School of Naval Architecture & Ocean Engineering, Jiangsu University of Science and Technology, Zhenjiang 212100, China;
2.China Ship Scientific Research Center, Wuxi 214082, China |
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Abstract To suppress the propagation of vibration and noise in engineering, a kind of phononic crystal beam structure was designed. Based on the Bloch theorem of periodic structure, the band structures,displacement fields of eigenmodes and transmission power spectrums of the corresponding finite periodic phononic crystal beam structure are calculated by a finite element method. And the band gap characteristics of its display is studied. Based on the main mechanism of local resonant band gap formation, the phononic crystal beam structure of low frequency vibration and noise control is studied, which can be applied to the vibration and noise reduction of specific frequency in engineering. The band gap characteristics of phononic crystal veneer beam and phononic crystal double-layer beam are analyzed, and the commonness of phononic crystal single/double layer beam is studied. The influence of various parameters on the band gap attenuation band of phononic crystal beam structure is studied, and the low frequency vibration isolation in a specific range can be realized through reasonable design of parameters, which has a good application prospect in the field of vibration and noise of ships and other engineering.
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Received: 14 October 2021
Published: 28 January 2023
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[1] 温熙森,温激鸿,郁殿龙,等.声子晶体[M] .北京:国防工业出版社,2009.
[2] Abdelkrim Khelif,Ali Adibi. Phononic Crystals[M].Springer, New York, NY:2016-01-01.
[3] 张印,尹剑飞,温激鸿,等.基于质量放大局域共振型声子晶体的低频减振设计[J].振动与冲击,2016,35(17):26-32.
Zhang Yin,Yin Jianfei,Wen Jihong,et al. Low frequency vibration reduction design for inertial local resonance phononic crystals based on inertial amplification[J]. Journal of Vibration and Shock,2016,35(17):26-32. (in Chinese)
[4] H.H. Huang,C.T. Sun. Locally resonant acoustic metamaterials with 2D anisotropic effective mass density[J]. Philosophical Magazine,2011,91(6):
[5] D. Roca,D. Yago,J. Cante,O. Lloberas-Valls,J. Oliver. Computational design of locally resonant acoustic metamaterials[J]. Computer Methods in Applied Mechanics and Engineering,2018,345:
[6] Sigalas M.M.,Economou E.N.. Elastic and acoustic wave band structure[J]. Academic Press,1992,158(2):
[7] Zhengyou Liu,Xixiang Zhang,Yiwei Mao,et al. Locally Resonant Sonic Materials[J]. Science,2000,289(5485):
[8] 舒海生,张法,刘少刚,等.一种特殊的布拉格型声子晶体杆振动带隙研究[J].振动与冲击,2014,33(19):147-151.
Shu Haisheng,Zhang Fa,Liu Shaogang,,et al. Vibration band gap of a special rod of phononic crystals[J]. Journal of Vibration and Shock, 2014,33(19):147-151. (in Chinese)
[9] 舒海生,刘少刚,王威远,等.集中质量边界条件下声子晶体杆的纵向振动传递特性研究[J].振动与冲击,2012,31(19):113-117.
Shu Haisheng, Liu Shaogang, Wang Weiyuan,,et al.Transmission characteristics of longitudinal vibration of a phononic crystal rod with concentrated mass boundary condition[J]. Journal of Vibration and Shock, 2012,31(19):113-117. (in Chinese)
[10] 郁殿龙,刘耀宗,王刚,等.一维杆状结构声子晶体扭转振动带隙研究[J].振动与冲击,2006(01):104-106+169-170.
Yu Dianlong,Liu Yaozong,Wang Gang,et al. Research on torsional vibration band gap of one-dimensional phononic crystals composed of rod-shaped[J]. Journal of Vibration and Shock, 2006(01):104-106+169-170. (in Chinese)
[11] Wang Gang,Wen Xisen,Wen Jihong,et al. Quasi-One-Dimensional Periodic Structure with Locally Resonant Band Gap[J]. Journal of Applied Mechanics,2006,73(1):
[12] 蒋泽,赵琳,周建超.一维声子晶体中声波传播的理论分析[J].压电与声光,2007(06):638-640.
Jiang Ze, Zhao Lin, Zhou Jianchao. The Theoretical Studies of Acoustic Wave Propagation in One-Dimensional Phononic Crystal[J].Piezoelectrics & Acoustooptics,2007(06):638-640. (in Chinese)
[13] Xiao Yong,Wen Jihong,Wang Gang,et al. Theoretical and Experimental Study of Locally Resonant and Bragg Band Gaps in Flexural Beams Carrying Periodic Arrays of Beam-Like Resonators[J].Journal of Vibration and Acoustics,2013,135(4):
[14] 吴旭东,左曙光,倪天心,等.并联双振子声子晶体梁结构带隙特性研究[J].振动工程学报,2017,30(01):79-85.
Wu Xudong,Zuo Shuguang,Ni Tianxin,et al. Study of the bandgap characteristics of a locally resonant phonoic crystal beam with attached double oscillators in parallel [J]. Journal of Vibration Engineering, 2017,30(01):79-85. (in Chinese)
[15] 杜春阳,郁殿龙,刘江伟,等.X形超阻尼局域共振声子晶体梁弯曲振动带隙特性[J].物理学报,2017,66(14):328-337.
Du Chunyang,Yu Dianlong,Liu Jiangwei,et al.Flexural vibration band gaps for a phononic crystal beam with X-shaped local resonance metadamping structure[J]. Acta Physica Sinica,2017,66(14):328-337. (in Chinese)
[16] Tuanjie Li,Xiaofei Ma,Qian Zhang,et al.BAND GAP PROPERTIES OF PERIODIC TAPERED BEAM STRUCTURE USING TRAVELING WAVE METHOD[J]. Journal of Theoretical and Applied Mechanics,2016,54(4):
[17] 钱登辉,史治宇,吴静红.贴附型局域共振声子晶体双层板的带隙特性[J].振动.测试与诊断,2019,39(03):484-494+667.
Qian Denghui,Shi Zhiyu,Wu Jinghong. Bandgap Properties in Stubbed-on Locally Resonant Phononic Crystal Double Panel Structures [J]. Journal of Vibration,Measurement & Diagnosis,2019,39(03):484-494+667. (in Chinese)
[18] Denghui Qian,Zhiyu Shi. Bandgap properties in simplified model of composite locally resonant phononic crystal plate[J]. Physics Letters A,2017:
[19] Jiu-jiu Chen,Jian-cheng Zhang,Shao-yong Huo. Multi-objective optimization of asymmetric acoustic transmission with periodical structure[J]. Ultrasonics,2018,82:
[20] Kuo-Chih Chuang,Zhi-Wen Yuan,Y.Q. Guo,Xu-Feng Lv. Extracting torsional band gaps and transient waves in phononic crystal beams: Method and validation[J]. Journal of Sound and Vibration,2020,467:
[21] Shan JIANG,Longxiang DAI,Hao CHEN,et al.Folding beam-type piezoelectric phononic crystal with low-frequency and broad band gap[J].Applied Mathematics and Mechanics(English Edition),2017,38(03):411-422.
[22] Mourad Oudich,Yong Li,Badreddine M Assouar,Zhilin Hou. A sonic band gap based on the locally resonant phononic plates with stubs[J]. New Journal of Physics,2010,12(8):
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