含板筋结构的开缝管声子晶体禁带特性研究
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- 英文论文题名：Band gaps characteristics of the periodical slit metal tubes with backstraps
- 论文作者：包凯 ; 陈天宁 ; 王小鹏 ; 宋爱玲 ; 王放
- 英文论文作者：BAO Kai ; CHEN Tian-ning ; WANG Xiao-peng ; SONG Ai-ling ; WANG Fang ; State Key Laboratory for Strength and Vibration of Mechanical Structures Xi'AN Jiao Tong University
- 年：2016
- 作者机构：机械结构强度与振动国家重点实验室西安交通大学;
- 论文关键词：声子晶体 ; 开缝管 ; 板筋结构 ; 禁带
- 英文论文关键词：phononic crystal ; periodical slit metal tubes ; backstraps ; band gap
- 会议召开时间：2016-07-28
- 会议录名称：第二十七届全国振动与噪声应用学术会议论文集
- 语种：中文
- 分类号：O735
- 学会代码：ZDZD
- 会议名称：第二十七届全国振动与噪声应用学术会议
- 会议地点：中国黑龙江哈尔滨
- 主办单位：中国振动工程学会振动与噪声控制专业委员会
- 学会名称：中国振动工程学会振动与噪声控制专业委员会
- 页数：4
- 文件大小：626k
- 原文格式：D
- 会议级别：全国
摘要
基于开缝管声子晶体理论和亥姆霍兹共鸣效应,提出了一种含板筋结构的开缝管声子晶体结构。为了研究该结构的带隙影响因素,根据Bloch定理和Helmholtz方程,利用有限元法对该结构的禁带和透射系数进行了数值计算,获得了该结构的带隙影响因素和禁带调节方法。结果表明,含板筋结构的开缝管声子晶体具有低频禁带特点,能够在400Hz左右得到宽禁带。板筋的缝宽和位置对结构的低频禁带具有有效的调节作用,能够将低频禁带起始频率降低200HZ以上,其原理为产生并增强亥姆霍兹共鸣效应。该研究成果为开缝管声子晶体的禁带调节提供了理论依据和有效方法,在低频噪声控制方面具有潜在的应用前景。
A design of the periodical slit metal tubes with backstraps is introduced based on Helmholtz Resonators. According to the Bloch theorem and the Helmholtz equation, the band gap characteristics of the proposed structure are investigated both theoretically. The results show that the phononic crystal possess wide band gap in low-frequency range. Frequency positions and width of band gaps can be effectively modulated based on Helmholtz Resonators by the position and slit width of the backstraps. The lowest frequency can be fallen by 200 Hz. The structure and results theoretically provide an effective way for the periodical slit metal tubes with backstraps to obtain low-frequency band gap, which provides potential applications prospect in low-frequency noise control.
A design of the periodical slit metal tubes with backstraps is introduced based on Helmholtz Resonators. According to the Bloch theorem and the Helmholtz equation, the band gap characteristics of the proposed structure are investigated both theoretically. The results show that the phononic crystal possess wide band gap in low-frequency range. Frequency positions and width of band gaps can be effectively modulated based on Helmholtz Resonators by the position and slit width of the backstraps. The lowest frequency can be fallen by 200 Hz. The structure and results theoretically provide an effective way for the periodical slit metal tubes with backstraps to obtain low-frequency band gap, which provides potential applications prospect in low-frequency noise control.
引文
[1]KAFESAKI M,SIGALAS M M.Wave guides in two-dimensional elastic wave band gap materials[J].Phys B,2001,296(1):190-194
[2]KUSHWAHA M S,HALEVI P,DOBRZYNSKIL,et al.Acoustic band structure of periodic composites[J].Phys Rev Lett,1993,71(13):2022-2025
[3]CERVERA F,SANCHIS L,SANCHEZ-PEREZ JV,et al.Re-fractive acoustic devices for airborne sound[J].Phys.Rev.Lett.,2002,88(2):023902.
[4]SU Xiaoyang,et al.Ultrasound tunneling through3D phononic crystals[J].Phys.Rev Lett.,2002,88(10):104301.
[5]MARTIN Hirsekorn.Small-size sonic crystals with strong attenuation bands in the audible frequency range[J].Applied Physics Letters,2004,84(17):3364-3366.
[6]HU X H,CHAN C T,Two-dimensional sonic crystals with Helmholtz resonators[J].Physical Review E,2005,71(5):055601.
[7]马大猷.亥姆霍兹共鸣器[J].声学技术,2002,21(1):2-3.MAA Dayou.Helmholtz resonator[J].Technical Acoustics,2002,21(1):2-3.
[8]王峥,项端祈,陈金京.等.建筑声学材料与结构[M].北京,机械工业出版社,2006.
[2]KUSHWAHA M S,HALEVI P,DOBRZYNSKIL,et al.Acoustic band structure of periodic composites[J].Phys Rev Lett,1993,71(13):2022-2025
[3]CERVERA F,SANCHIS L,SANCHEZ-PEREZ JV,et al.Re-fractive acoustic devices for airborne sound[J].Phys.Rev.Lett.,2002,88(2):023902.
[4]SU Xiaoyang,et al.Ultrasound tunneling through3D phononic crystals[J].Phys.Rev Lett.,2002,88(10):104301.
[5]MARTIN Hirsekorn.Small-size sonic crystals with strong attenuation bands in the audible frequency range[J].Applied Physics Letters,2004,84(17):3364-3366.
[6]HU X H,CHAN C T,Two-dimensional sonic crystals with Helmholtz resonators[J].Physical Review E,2005,71(5):055601.
[7]马大猷.亥姆霍兹共鸣器[J].声学技术,2002,21(1):2-3.MAA Dayou.Helmholtz resonator[J].Technical Acoustics,2002,21(1):2-3.
[8]王峥,项端祈,陈金京.等.建筑声学材料与结构[M].北京,机械工业出版社,2006.