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

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振动与冲击 ›› 2012, Vol. 31 ›› Issue (19) : 113-117.

论文

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

舒海生，刘少刚，王威远，赵丹，张法

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RESEARCH ON TRANSMISSION CHARACTERISTICS OF LONGITUDINAL VIBRATION OF PHONONIC CRYSTAL ROD WITH CONCENTRATED MASS BORDER

SHU Hai-sheng，LIU Shao-gang, WANG Wei-yuan, ZHAO Dan, ZHANG Fa

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摘要

为分析集中质量边界下声子晶体杆的纵向振动传递特性，建立了树脂杆、铝杆及“树脂＋铝”声子晶体杆模型，计算了0～50kHz范围内自由边界和集中质量边界两类情况下三种杆的振动传递率，并进一步分析了集中质量大小对传递率的影响。分析结果表明：自由边界下树脂杆和铝杆均无减振性能，而声子晶体杆则呈现出3个明显的带隙；集中质量边界下树脂杆和铝杆能够在较宽的频带内抑制振动的传递，但其传递率曲线存在很多共振峰，不利于减振，而声子晶体杆的带隙在此边界下仍能显著抑制振动的传递，从而明显改善了减振性能，但集中质量可能引入强烈的共振峰；随着集中质量的增加，三种杆的减振性能进一步提高。

Abstract

In order to obtain the transmission characteristics of longitudinal vibration of phononic crystal rod with concentrated mass border, epoxy rod, aluminum rod and “epoxy + aluminum” pononic crystal rod were build and the transmissibility curves of the longitudinal vibration of these rods were calculated between 0~50KHz with free border and concentrated mass border respectively. Furthermore, the influence of different concentrated masses on transmissibility was analyzed. The results of analysis showed that: with free border condition epoxy both of rod and aluminum rod have no ability of vibration reduction while three obvious stop bands can be found in phononic crystal rod; with concentrated mass border vibration can be reduced in a wide frequency band both in epoxy rod and aluminum rod while many resonance humps can be found in their transmissibility curves which would be harmful to vibration reduction. Vibration can be suppressed apparently by the effect of stop bands in phononic crystal rod and therefore the vibration reduction ability was improved much more. Nevertheless, sharp resonance hump may be brought about which would impair the ability of vibration reduction distinctly; with the increase of the concentrated mass the vibration reduction ability of three types of rods could be enhanced.

导出引用

舒海生;刘少刚;王威远;赵丹;张法. 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 Hai-sheng;LIU Shao-gang;WANG Wei-yuan;ZHAO Dan;ZHANG Fa. RESEARCH ON TRANSMISSION CHARACTERISTICS OF LONGITUDINAL VIBRATION OF PHONONIC CRYSTAL ROD WITH CONCENTRATED MASS BORDER[J]. Journal of Vibration and Shock, 2012, 31(19): 113-117