首次将颗粒阻尼运用到局域共振型性周期结构中，推导和验证了周期颗粒阻尼复合结构带隙的计算公式。通过设计一种周期颗粒阻尼复合板结构并测试该结构的振动传输特性，探究周期颗粒阻尼复合结构带隙特性的结构影响因素及变化规律。结果显示：⑴周期颗粒阻尼复合板结构的传输特性中会出现一个振动剧烈衰减区，说明周期颗粒阻尼结构具有带隙特性；⑵周期配重的板结构带隙起始频率会随着质量的增大而先增大后减小，其中，当配重50g时带隙起始频率最大；⑶相比较配重同等质量的结构，周期颗粒阻尼结构带隙均变宽，且最大衰减幅值均变大。⑷当颗粒阻尼器间距为0cm、2cm、4cm、6cm时，周期颗粒阻尼复合板结构带隙宽度分别为100Hz、170Hz、230Hz、400Hz，带隙宽度逐渐变大，且最大衰减幅值也逐渐变大。
Abstract
Particle damping was firstly used in periodic structures with local area resonances. The band gap calculation formula of composite structures with periodic particle damping was derived and validated. Through designing a composite slab structure with periodic particle damping and measuring its vibration transmission features, the influence factors and change laws of the band gap features for the composite structure with periodic particle damping were studied. The results showed that ① a vibration acute attenuation area appears in the vibration transmission features of the composite structure with periodic particle damping, so the composite structure with periodic particle damping has the band gap features; ② the band gap starting frequency of a slab structure with periodic mass increases at first and then decreases with increase in mass; when the mass is 50 g, the band gap starting frequency of the structure is the maximum; ③ compared with a structure with an equal mass, the band gap of the structure with periodic particle damping is wider and the maximum attenuation amplitude value is larger; ④ when the space between particle dampers is 0 cm, 2 cm, 4 cm and 6 cm, respectively, the band gap width of the slab structure with periodic particle damping becomes larger gradually, they are 100 Hz, 170 Hz, 230 Hz, and 400 Hz, respectively, and the maximum attenuation amplitude value becomes larger gradually.
关键词
周期颗粒阻尼 /
带隙 /
质量 /
损耗因子 /
间距
{{custom_keyword}} /
Key words
periodic particle damping /
band gap /
mass /
loss factor /
space between
{{custom_keyword}} /
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
[1] Sen G. Natural flexural waves and the normal modes of periodically-supported beams and plates[J]. Journal of Sound and Vibration, 1970, 13(1):89-101．
[2] Mead D J. Wave propagation and natural modes in periodic systems-1. Mono-coupled systems[J]. Journal of Sound and Vibration, 1975, 40(1):1-39．
[3] 温熙森等. 光子/声子晶体理论与技术[M]. 北京: 科学出版社, 2006.
Wen Xiseng, etc. Theory and Technology of photonic & phononic crystal[M]. Beijing: Science Press, 2006
[4] Yeh Jia-yi, Chen Lien-wen. Wave propagations of aperiodics and wich beam by FEM and the transfer matrix method[J]. Composite Structures, 2006, 73(1):53-60.
[5] Xu M B, Zhang X M，Zhang W H. Space-harmonic analysis of input power flowina periodically stiffened shell filled with fluid[J]. Journal of Sound and Vibration, 1999, 222(4):531-546.
[6] 王 刚, 温激鸿，刘耀宗，等. 一维粘弹性材料周期结构的振动带隙研究[J]. 机械工程学报, 2004, 40(7):47-51.
Wang Gang, Wen Jihong, Liu Yaozong, etc. Research on the vibration band gaps of one dimensional viscoelastic periodic structure[J]. Journal of Machanical Engineering, 2004, 40(7):47-51.
[7] 肖 勇. 局域共振型结构的带隙调控与减振降噪特性研究[D]. 长沙: 国防科技大学, 2012.
Xiao Yong, Locally resonant structures: band gap tuning and properties of vibration and noise reduction[D]. Changsha: National University of Defence Techlonogy, 2012.
[8] 舒海生，高恩武，刘少刚，等.声子晶体串联组合杆振动带隙研究[J].振动与冲击,2014,33(16):194-200.
SHU Hai-sheng, GAO En-wu, LIU Shao-gang, et. Vibration band gaps of a kind of serial combined rod of phononic crystals[J]. Journal of Vibration and Shock, 2014, 33(16):194-200.
[9] Lee U. Spectral Element Method in Structural Dynamics[M]. Singapore: John Wiley & Sons,2009.
[10] 周明刚, 周小强, 陈源，等. 周期阻尼结构低频带隙的研究与应用[J]. 拖拉机与农用运输车, 2012, 39(1):26-29.
ZHOU Ming-gang, ZHOU Xiao-qiang, CHEN Yuan, etc. Research and application of periodic damping structure low frequency band gap[J]. Tractor & Farm Transporter, 2012, 39(1):26-29
{{custom_fnGroup.title_cn}}
脚注
{{custom_fn.content}}
PDF(1779 KB)
