一种局域共振型角式声子晶体梁

舒海生;郜冶;张法;高恩武;李世丹;董立强

振动与冲击 ›› 2013, Vol. 32 ›› Issue (10) : 157-161.

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PDF(2090 KB)
振动与冲击 ›› 2013, Vol. 32 ›› Issue (10) : 157-161.
论文

一种局域共振型角式声子晶体梁

  • 舒海生, 郜冶, 张法, 高恩武, 李世丹, 董立强
作者信息 +

A kind of locally resonant angle type beam of phononic crystals

  • SHU Haisheng, GAO Ye, ZHANG Fa, GAO Enwu, LI Shidan, DONG Liqiang
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摘要

局域共振型声子晶体梁具有纵向振动带隙和横向振动带隙,一般而言,前者频率范围很窄而且衰减量极小,后者频率范围很宽并且衰减很强,二者往往不在同一频带,因此很难满足同一频带内的多维减振要求。针对这一问题,为充分利用横向振动带隙的宽频带强衰减特性,提出了一种局域共振型角式声子晶体梁,采用传递矩阵法进行了理论分析和数值求解,并进一步在有限元软件中做了仿真验证,结果表明该角梁能够通过纵波与横波的转换,使得三个自由度上的振动均能在同一频带内得到有效的衰减,从而一方面满足了工程上的多维减振需求,另一方面也拓展了声子晶体减振应用场合。

Abstract

Straight beam of locally resonant phononic crystals has apparent longitudinal vibration band gaps which are narrow with small attenuation and transverse vibration band gaps which are wide with strong attenuation generally. The two kinds of band gaps are often not in the same frequency band which makes it difficult to achieve multi-dimensional damping simultaneously. Aiming at this problem, in order to make fully use of the characteristics of strong attenuation and wide frequency band of transverse band gaps, a kind of locally resonant angle type beam of phononic crystals is proposed which can transform longitudinal wave into transverse wave. By using transfer matrix method on the theory analysis and numerical solution, and further simulation in finite element software . The results are compared with that of straight beam of phononic crystals showing that the vibrations on three degree of freedoms can be suppressed effectively in the same band. The structure of the angle type beam of phononic crystals is quite beneficial to meet the requirements of engineering multidimensional vibration damping and also expands the applications of phononic crystals.

关键词

局域共振 / 声子晶体 / 角梁 / 多维减振 / 有限元分析

Key words

locally resonant / phononic crystals / angle type beam / multidimensional vibration damping / finite element analysis

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导出引用
舒海生;郜冶;张法;高恩武;李世丹;董立强. 一种局域共振型角式声子晶体梁[J]. 振动与冲击, 2013, 32(10): 157-161
SHU Haisheng;GAO Ye;ZHANG Fa;GAO Enwu;LI Shidan;DONG Liqiang. A kind of locally resonant angle type beam of phononic crystals[J]. Journal of Vibration and Shock, 2013, 32(10): 157-161

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