一类声子晶体角梁的振动带隙研究

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振动与冲击 ›› 2013, Vol. 32 ›› Issue (16) : 205-214.

论文

一类声子晶体角梁的振动带隙研究

舒海生，高恩武，张法，李世丹，董立强

作者信息 +

Research on the vibration band gaps of a kind ofangle type beam of phononic crystals

SHU Haisheng, GAO Enwu, ZHANG Fa, LI Shidan, DONG Liqiang

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文章历史 +

摘要

针对声子晶体直梁的低维窄带减振特性的不足，提出了一类声子晶体角梁。采用传递矩阵法对角梁进行了理论分析和数值求解，并进行了有限元仿真验证。分析结果表明：声子晶体角梁能够通过纵向振动和弯曲振动的转化使得组成梁的两种带隙同时得以发挥减振作用，从而有效地实现了宽频多维减振；声子晶体角梁的构造角度对其减振性能有明显的影响，90度角梁减振能力明显优于45度和135度情况；当加载角由0度向90度变化时，角梁内的振动由纵向振动为主逐渐过渡到弯曲振动占主导地位，弯曲带隙内的衰减也随之更加显著，反之亦然；扭簧能够加强角梁的“弹簧-振子”效应，不仅可以增加总振动带隙的宽度和衰减量，而且提高了低频区减振能力。

Abstract

Aiming at the problem that straight beam of PCs has the shortage of low-dimensional and narrow frequency band damping characteristics, a kind of angle type beam of PCs is proposed. Transfer matrix method is used in theoretical analysis, numerical solutions of vibration transmissibility are obtained and further simulations are preceded in finite element. The results show that the angle type beam of PCs which can transform longitudinal wave into transverse wave can make two kinds of band gap play a role of vibration attenuation simultaneously, so as to achieve multi-dimensional and broadband damping. The intersect angle of the angular beam of PCs has significant impact on the vibration reduction performance. The attenuation performance of the case of 90-degrees is much better than that of other cases such as 45-degree and 135-degree. With the rise of loading angle from 0 to 90 degrees, the dominant vibration of the angle type beam of PCs gradually transform from the longitudinal vibration to bending vibration and the attenuation in transverse vibration band gaps also become more significant with it and vice versa. Torsional spring which strengthens the “Spring-oscillator” effect of the angle type beam of PCs can not only increase the width and attenuation of the overall structure of the vibration band gaps, but also improves the capability of vibration damping in low frequency zone.

导出引用

舒海生;高恩武;张法;李世丹;董立强. 一类声子晶体角梁的振动带隙研究[J]. 振动与冲击, 2013, 32(16): 205-214

SHU Haisheng;GAO Enwu;ZHANG Fa;LI Shidan;DONG Liqiang. Research on the vibration band gaps of a kind ofangle type beam of phononic crystals[J]. Journal of Vibration and Shock, 2013, 32(16): 205-214