Damping-induced frequency shifts in band structures of one-dimensional viscoelastic phononic crystal rods

被引:0
作者
机构
[1] School of Mechanical Engineering, Xi'an Jiaotong University
[2] State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi'an Jiaotong University
来源
Wu, J. | 1600年 / Xi'an Jiaotong University卷 / 48期
关键词
Band gap; Band structure; Damping; Phononic crystal; Viscoelastic material;
D O I
10.7652/xjtuxb201403005
中图分类号
学科分类号
摘要
To understand the influence of damping on the band structures of phononic crystals (PCs), the vibration band structures of one-dimensional viscoelastic PCs are investigated and analyzed theoretically by iteration method for plane wave expansion (PWE), based on standard linear solid (SLS) model of viscoelastic materials. Compared with the case of constant modulus, the storage modulus and the loss modulus exert clearer influence on the band structures and the gap bandwidth due to the frequency dependence of the complex modulus. In particular, the influence of loss modulus cannot be ignored in the frequency range around the damping peak, where the frequency bands are shifted to the higher range, but the other bands almost remain unchanged, thus the gaps below and above the bands are widened and narrowed respectively. These results provide theoretical basis to research viscoelastic phononic crystals and an effective way to obtain broad band gaps for phononic crystals.
引用
收藏
页码:22 / 27+48
相关论文
共 23 条
  • [1] (2009)
  • [2] Sigalas M., Economou E.N., Elastic and acoustic wave band structure, Journal of Sound and Vibration, 158, 2, pp. 377-382, (1992)
  • [3] Sigalas M., Economou E.N., Band structure of elastic waves in two-dimensional systems, Solid State Commun, 86, 3, pp. 141-143, (1993)
  • [4] Kushwaha M.S., Halevi P., Dobrzynski L., Et al., Acoustic band structure of periodic elastic composites, Physical Review Letters, 71, 13, pp. 2022-2025, (1993)
  • [5] Martinez-Sala R., Sancho J., Sanchez J.V., Et al., Sound attenuation by sculpture, Nature, 378, (1995)
  • [6] Zhu X., Liu S., Xu T., Et al., Investigation of a silicon-based one-dimensional phononic crystal plate via the super-cell plane wave expansion method, Chinese Physics: B, 19, 4, (2010)
  • [7] Tanaka Y., Tomoyasu Y., Tamura S., Band structure of acoustic waves in phononic lattices: two-dimensional composites with large acoustic mismatch, Physical Review: B, 62, 11, pp. 7387-7392, (2000)
  • [8] Liu Z., Chan C.T., Sheng P., Et al., Elastic wave scattering by periodic structures of spherical objects: theory and experiment, Physical Review: B, 62, 4, pp. 2446-2457, (2000)
  • [9] Sprik R., Wegdam G.H., Acoustic band gaps in composites of solids and viscous liquids, Solid State Commun, 106, 2, pp. 77-81, (1998)
  • [10] Zhang X., Liu Z., Mei J., Et al., Acoustic band gaps for a two-dimensional periodic array of solid cylinders in viscous liquid, Journal of Physics: Condensed Matter, 15, pp. 8207-8212, (2003)