负泊松比声学超材料基座的减振性能研究
|
摘要
引入周期结构声学超材料,设计了一种负泊松比声学超材料基座实现低频段减振目标。首先,在保证一定的减振性能条件下,优化设计负泊松比蜂窝基座结构并试验验证该基座的减振效果;然后,在蜂窝单胞中填充声子晶体周期结构构造声学超材料新型基座,并采用优化设计方法最大化该基座低频段减振性能;最后,对优化设计的新型基座进行动力学频响计算,分析了其减振带隙特性;计算了静载条件下新型基座的承载能力。优化结果表明,负泊松比声学超材料基座具有较好的低频减振性能和承载能力。
Periodic acoustic metamaterial is introduced to design an auxetic acoustic metamaterial mount with the performance of vibration reduction in low frequency band.First,under the condition of certain vibration reduction performance,the lightest auxetic cellular mount is obtained by optimizing design method,and the vibration reduction performance of this mount is verified by the experiment.Then,filling the phononic crystal structure into the optimized auxetic cellular mount,therefore an acoustic metamaterial mount is designed.And the optimization design method is used to maximize the vibration reduction performance of this novel mount.Finally,dynamic frequency response of the optimized novel mount is calculated to analyze the band gap characteristics,and static analysis of novel mount is conducted to verify the structure′s carrying capacity.Numerical optimization results show that this auxetic acoustic metamaterial mount has better carrying capacity and performance of low frequency vibration reduction.
Periodic acoustic metamaterial is introduced to design an auxetic acoustic metamaterial mount with the performance of vibration reduction in low frequency band.First,under the condition of certain vibration reduction performance,the lightest auxetic cellular mount is obtained by optimizing design method,and the vibration reduction performance of this mount is verified by the experiment.Then,filling the phononic crystal structure into the optimized auxetic cellular mount,therefore an acoustic metamaterial mount is designed.And the optimization design method is used to maximize the vibration reduction performance of this novel mount.Finally,dynamic frequency response of the optimized novel mount is calculated to analyze the band gap characteristics,and static analysis of novel mount is conducted to verify the structure′s carrying capacity.Numerical optimization results show that this auxetic acoustic metamaterial mount has better carrying capacity and performance of low frequency vibration reduction.
引文
[1]吕林华,杨德庆.船舶钢-复合材料组合基座减振设计方法分析[J].上海交通大学学报,2012,46(8):1196—1202.LV Lin-hua,YANG De-qing.Study on vibration reduction design of steel-composite materials hybrid mounting for ships[J].Journal of Shanghai Jiaotong University,2012,46(8):1196—1202.
[2]陈炉云,刘勇,张裕芳.材料选型优化在结构减振中应用研究[J].振动与冲击,2013,22(32):95—98,105.CHEN Lu-yun,LIU Yong,ZHANG Yu-fang.Application of metal-composite material selection optimization in vibration reduction of structure[J].Journal of Vibration and Shock,2013,22(32):95—98,105.
[3]江国和,薛彬,冯伟,等.舰用变压器冲击响应计算[J].噪声与振动控制,2010,29(3):108—112.JIANG Guo-he,XUE Bin,FENG Wei,et al.Shiptransformer shock response calculation[J].Noise and Vibration Control,2010,29(3):108—112.
[4]Victor S,Tanchum W.On the feasibility of introducing auxetic behavior into thin-walled structures[J].Acta Materialia,2008,57(1):125—135.
[5]张梗林,杨德庆.船舶宏观负泊松比蜂窝夹芯隔振器优化设计[J].振动与冲击,2013,32(22):68—72,78.ZHANG Geng-lin,YANG De-qing.Optimization design of an auxetic honeycomb isolator in a ship[J].Journal of Vibration and Shock,2013,32(22):68—72,78.
[6]Gibson L J,Ashby M F.Cellular Solids:Structure and Properties[M].Second edition.Cambridge:Cambridge University Press,1997.
[7]Banerjee S,Bhaskar A.Free vibration of cellular structures using continuum modes[J].Journal of Sound and Vibration,2005,287(l-2):77—100.
[8]Hayes A M,Wang A J,Dempsey B M,et al.Mechanics of linear cellular alloys[J].Mechanics of Materials,2004,36(8),691—713.
[9]赵显伟.可变形蜂窝结构的力学性能分析[D].哈尔滨:哈尔滨工业大学:2013.ZHAO Xian-wei.The Analysis of Mechanical Properties of Morphing Honeycomb Structures[D].Harbin:Harbin Institute of Technology,2013.
[10]张相闻,杨德庆.船用新型抗冲击隔振蜂窝基座[J].振动与冲击,2015,10:40—45.ZHANG Xiang-wen,YANG De-qing.A novel marine impact resistance and vibration isolation cellular base[J].Journal of Vibration and Shock,2015,10:40—45.
[11]Kushwaha M S,Halevi P,Dobrzynski L,et al.Acoustic band structure of periodic elastic composites[J].Physical Review Letters,1993,71(13):2022-2025.
[12]Pennec Y,Djafari-Rouhani B,Larabi H.et al.Low frequency gaps in a phononic crystal constituted of cylindrical dots deposited on a thin homogeneous plate[J].Physical Review B,2008,78:104105.
[13]Diaz-de-Anda A,Pimentel A,Flores J,et al.Locally periodic Timoshenko rod:experiment and theory[J].Journal of the Acoustical Society of America,2005,117(5):2814—2819.
[14]Liu Z,Zhang X,Mao Y,et al.Locally resonant sonic materials[J].Science,2000,289(5485):1734—1736.
[15]XIAO Y,Mace B R,Wen J H,et al.Formation and coupling of band gaps in a locally resonant elastic system comprising a string with attached resonators[J].Physics Letters A,2011,375(12):1485—1491.
[16]温激鸿,王刚,刘耀宗,等.周期弹簧振子结构振动带隙及隔振特性研究[J].机械工程学报,2005,02:205—209.WEN Ji-hong,WANG Gang,LIU Yao-zong,et al.Research on vibration band gaps and characteristic of vibration isolation of periodic mass-spring structure[J].Chinese Journal of Mechanical Engineering.2005,02:205—209.
[17]郁殿龙,温激鸿,刘耀宗,等.充液周期管路的轴向振动带隙特性[J].机械工程学报,2009,09:36—40.YU Dian-long,WEN Ji-hong,LIU Yao-zong,et al.Axial vibration property of periodic pipe system conveying fluid[J].Chinese Journal of Mechanical Engineering,2009,09:36—40.
[18]郁殿龙,温激鸿,陈圣兵,等.轴向载荷周期结构梁的弯曲振动带隙特性[J].振动与冲击,2010,03:85—88,206.YU Dian-long,WEN Ji-hong,CHEN Sheng-bing,et al.Flexural vibration band gaps in axially loaded periodic beam structure[J].Journal of Vibration and Shock,2010,03:85-88,206.
[19]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 Xu-dong,ZUO Shu-guang,NI Tian-xin,et al.Study of the bandgap characteristics of a locally resonant phononic crystal beam with attached double oscillators in parallel[J].Journal of Vibration Engineering,2017,30(01):79—85.
[2]陈炉云,刘勇,张裕芳.材料选型优化在结构减振中应用研究[J].振动与冲击,2013,22(32):95—98,105.CHEN Lu-yun,LIU Yong,ZHANG Yu-fang.Application of metal-composite material selection optimization in vibration reduction of structure[J].Journal of Vibration and Shock,2013,22(32):95—98,105.
[3]江国和,薛彬,冯伟,等.舰用变压器冲击响应计算[J].噪声与振动控制,2010,29(3):108—112.JIANG Guo-he,XUE Bin,FENG Wei,et al.Shiptransformer shock response calculation[J].Noise and Vibration Control,2010,29(3):108—112.
[4]Victor S,Tanchum W.On the feasibility of introducing auxetic behavior into thin-walled structures[J].Acta Materialia,2008,57(1):125—135.
[5]张梗林,杨德庆.船舶宏观负泊松比蜂窝夹芯隔振器优化设计[J].振动与冲击,2013,32(22):68—72,78.ZHANG Geng-lin,YANG De-qing.Optimization design of an auxetic honeycomb isolator in a ship[J].Journal of Vibration and Shock,2013,32(22):68—72,78.
[6]Gibson L J,Ashby M F.Cellular Solids:Structure and Properties[M].Second edition.Cambridge:Cambridge University Press,1997.
[7]Banerjee S,Bhaskar A.Free vibration of cellular structures using continuum modes[J].Journal of Sound and Vibration,2005,287(l-2):77—100.
[8]Hayes A M,Wang A J,Dempsey B M,et al.Mechanics of linear cellular alloys[J].Mechanics of Materials,2004,36(8),691—713.
[9]赵显伟.可变形蜂窝结构的力学性能分析[D].哈尔滨:哈尔滨工业大学:2013.ZHAO Xian-wei.The Analysis of Mechanical Properties of Morphing Honeycomb Structures[D].Harbin:Harbin Institute of Technology,2013.
[10]张相闻,杨德庆.船用新型抗冲击隔振蜂窝基座[J].振动与冲击,2015,10:40—45.ZHANG Xiang-wen,YANG De-qing.A novel marine impact resistance and vibration isolation cellular base[J].Journal of Vibration and Shock,2015,10:40—45.
[11]Kushwaha M S,Halevi P,Dobrzynski L,et al.Acoustic band structure of periodic elastic composites[J].Physical Review Letters,1993,71(13):2022-2025.
[12]Pennec Y,Djafari-Rouhani B,Larabi H.et al.Low frequency gaps in a phononic crystal constituted of cylindrical dots deposited on a thin homogeneous plate[J].Physical Review B,2008,78:104105.
[13]Diaz-de-Anda A,Pimentel A,Flores J,et al.Locally periodic Timoshenko rod:experiment and theory[J].Journal of the Acoustical Society of America,2005,117(5):2814—2819.
[14]Liu Z,Zhang X,Mao Y,et al.Locally resonant sonic materials[J].Science,2000,289(5485):1734—1736.
[15]XIAO Y,Mace B R,Wen J H,et al.Formation and coupling of band gaps in a locally resonant elastic system comprising a string with attached resonators[J].Physics Letters A,2011,375(12):1485—1491.
[16]温激鸿,王刚,刘耀宗,等.周期弹簧振子结构振动带隙及隔振特性研究[J].机械工程学报,2005,02:205—209.WEN Ji-hong,WANG Gang,LIU Yao-zong,et al.Research on vibration band gaps and characteristic of vibration isolation of periodic mass-spring structure[J].Chinese Journal of Mechanical Engineering.2005,02:205—209.
[17]郁殿龙,温激鸿,刘耀宗,等.充液周期管路的轴向振动带隙特性[J].机械工程学报,2009,09:36—40.YU Dian-long,WEN Ji-hong,LIU Yao-zong,et al.Axial vibration property of periodic pipe system conveying fluid[J].Chinese Journal of Mechanical Engineering,2009,09:36—40.
[18]郁殿龙,温激鸿,陈圣兵,等.轴向载荷周期结构梁的弯曲振动带隙特性[J].振动与冲击,2010,03:85—88,206.YU Dian-long,WEN Ji-hong,CHEN Sheng-bing,et al.Flexural vibration band gaps in axially loaded periodic beam structure[J].Journal of Vibration and Shock,2010,03:85-88,206.
[19]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 Xu-dong,ZUO Shu-guang,NI Tian-xin,et al.Study of the bandgap characteristics of a locally resonant phononic crystal beam with attached double oscillators in parallel[J].Journal of Vibration Engineering,2017,30(01):79—85.