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

Journal of Vibration and Shock ›› 2013, Vol. 32 ›› Issue (16) : 205-214.

PDF(4824 KB)
PDF(4824 KB)
Journal of Vibration and Shock ›› 2013, Vol. 32 ›› Issue (16) : 205-214.
论文

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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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.

Key words

phononic crystals / angle type beam / torsional spring / multidimensional vibration damping / broadband

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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
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