Vibration characteristics of one-dimensional phononic crystals with elastic supporting

被引：0
|
作者：
He D. [1 ]
Shi D. [1 ]
Wang Q. [2 ,3 ]
Ma C. [1 ,4 ]
机构：
[1] College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin
[2] College of Mechanical and Electrical Engineering, Central South University, Changsha
[3] State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha
[4] Department of Automotive Engineering, Harbin Vocational & Technical College, Harbin
来源：
Zhendong yu Chongji/Journal of Vibration and Shock | 2022年 / 41卷 / 04期
关键词：
Elastic supporting; Phononic crystals; The method of reverberation-ray matrix; Vibration characteristics;
D O I：
10.13465/j.cnki.jvs.2022.04.024
中图分类号：
学科分类号：
摘要：
In this paper, the reverberation-ray matrix (MRRM) was adopted to investigate the vibration characteristics of one dimensional phononic crystals with elastic supporting. The frequency response curve was obtained. To verify the calculation correctness of presented method, the solutions were compared with the results by the finite element method (FEM). It can be found that the results by MRRM and FEM are consistent. Furthermore, the effect of geometric parameters and elastic stiffness under various conditions on the vibration characteristics for one dimensional phononic crystals with elastic supporting was investigated. Through the changing rule of the starting frequency, ending frequency and width of band gap, some conclusions were obtained. Numerical examples show that the geometric parameters and elastic stiffness under various conditions have their own influence on the vibration characteristics of one dimensional phononic crystals with elastic supporting. © 2022, Editorial Office of Journal of Vibration and Shock. All right reserved.
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页码：185 / 191
页数：6
相关论文
共 14 条
  • [1] MIAO Linchang, LI Chao, LEI Lijian, Et al., Vibration attenuation and application of composition materials of periodic structures, Chinese Journal of Geotechnical Engineering, 42, 6, pp. 1139-1144, (2020)
  • [2] PEREIRA F N, DOS SANTOS J M C., Phononic crystal investigation using a fluid-structure circular cylindrical shell spectral element, Mechanical Systems and Signal Processing, 148, (2021)
  • [3] CAMLY R E, DJAFARI-ROUHANI B, DOBRZYNSKI L., Transverse elastic waves in periodically layered infinite and semi-infinite media, Physical Review B, 27, 12, pp. 7318-7325, (1993)
  • [4] SIGALAS M M, SOUKOULIS C M., Elastic-wave propagation through disordered and/or absorptive layered systems, Physical Review B, 51, 5, pp. 2780-2789, (1995)
  • [5] VASSEUR J O, DJAFARI-ROUHANI B, DOBRZYNSKI L, Et al., Complete acoustic band gaps in periodic fiber-reinforced composite-materials, Journal of Physics: Condensed Matter, 6, pp. 8759-8763, (1994)
  • [6] SIGALAS M M, ECONOMOU E N., Band structure of elastic waves in two-dimensional systems, Solid State Communications, 86, pp. 141-143, (1993)
  • [7] WEN Jihong, WANG Gang, LIU Yaozong, Et al., Lumped-mass method on calculation of elastic band gaps of one-dimensional phononic crystals, Acta Physica Sinica, 10, pp. 3384-3388, (2004)
  • [8] WITARTO W, NAKSHATRALA K B, MO Y L., Global sensitivity analysis of frequency band gaps in one-dimensional phononic crystals, Mechanics of Materials, 134, pp. 38-53, (2019)
  • [9] NAGATY A, MEHANEY A, ALY A H., Influence of temperature on the properties of one-dimensional piezoelectric phononic crystals, Chinese Physics B, 27, 9, (2018)
  • [10] LIU Niuniu, ZHANG Zhenguo, XU Shiyin, Et al., Local resonance bandgap of a periodic slender beam based on dynamic anti-resonance structure, Journal of Vibration and Shock, 36, 24, pp. 142-147, (2017)
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