Research on the Vibration Characteristics of Three-component Grid Plates

LIU Rong-qiang,ZHAO Hao-jiang,LI Chang-zhou,GUO Hong-wei,DENG Zong-quan

Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (15) : 53-57.

PDF(1893 KB)
PDF(1893 KB)
Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (15) : 53-57.

Research on the Vibration Characteristics of Three-component Grid Plates

  • LIU Rong-qiang,ZHAO Hao-jiang,LI Chang-zhou,GUO Hong-wei,DENG Zong-quan
Author information +
History +

Abstract

A three-component grid plate structure inspired by the locally resonant mechanism of phononic crystals is presented. The dispersion relations and the displacement fields of the eigenmodes of this novel grid structure are calculated by the finite element method. According to the band structures and the vibration response curves, the proposed grid structures possess low frequency band gaps along different directions. The locally resonant band gaps results from the interaction between the traveling wave mode and the local resonance. Take the first flexural vibration gap as example, effects of the geometrical parameters on the band gap are explained by equivalent mass-spring system models. These properties of band gaps in the three-component grid plates can potentially be applied to design devices for the reduction of low-frequency vibrations.

Key words

Grid plate / Local resonance / Band gap / Finite element method

Cite this article

Download Citations
LIU Rong-qiang,ZHAO Hao-jiang,LI Chang-zhou,GUO Hong-wei,DENG Zong-quan. Research on the Vibration Characteristics of Three-component Grid Plates[J]. Journal of Vibration and Shock, 2016, 35(15): 53-57

References

[1] Sigalas M M,Economou E N.Elastic and Acoustic Wave Band Structure [J]. J. Sound Vib.,1992,158(2):377-382.
[2] Kushwaha W S, Halevi P, Dobrzynshi L, et al. Acoustic Band Structure of Periodic Elastic Composites [J]. Phys. Rev. Lett.,1993, 71(13):2022-2025.
[3] Kushwaha M S. Classical Band Structure of Periodic Elastic Composites [J]. Int. J. Mod. Phys. B 1996, 10(9): 977-1094.
[4] Liu Z Y, Zhang X, Mao Y, et al. Locally Resonant Sonic Materials [J]. Science, 2000, 289:1734-1736.
[5] Wang G, Wen X S, Wen J H, et al. Two Dimensional Locally Resonant Phononic Crystals with Binary Structures. Phys. Rev. Lett.,2004, 93(15): 154302.
[6] Martinsson P G,Movchan A B. Vibrations of Lattice Structures and Phononic Band Gaps [J]. Q. J. Mech. Appl. Math., 2003, 56:45-64.
[7] 温激鸿, 郁殿龙, 王刚,等. 薄板状周期栅格结构中弹性波传播特性研究[J]. 物理学报,2007, 56(4):2298-2304.
WEN Ji-hong,Yu Dian-long,Wang Gang, et al.  The Characteristics of Wave Propagation in Laminated Grid Structure,Acta Physica Sinica, 2007, 56(4):2298-2304
[8] Wen J H,Yu D L,Liu J W,et al. Theoretical and Experimental Investigations of Flexural Wave Propagation in Periodic Grid Structures Designed with the Idea of Phononic Crystals [J]. Chinese Physics B, 2009, 18(06): 2404-2411.
[9] Jensen J S. Phononic Band Gaps and Vibrations in One-and Two-dimensional Mass-spring Structures [J]. Journal of Sound and Vibration, 2003,266 (5): 1053-1078.
[10] Diaz A R,Haddow A G,Ma L. Design of Band-gap Grid Structures [J]. Struct Multidisc Optim, 2005, 29: 418–431
[11] Wang J W,Wang G, Wen J H. Flexural Vibration Band Gaps in Advanced Composite Grid Structures Using Finite Element Method[C]. ICSV16, Kraków, Poland, 5-9 July 2009.
[12] WANG Y Z, LI F M. Band Gap Properties of Magnetoelectroelastic Grid Structures with Initial Stress [J]. CHIN. PHYS. LETT. , 2012, 29(3): 034301.
[13] 黄毓,刘书田. 二维栅格材料带隙特性分析与设计[J]. 力学学报,2011,43(2): 316-329.
HUANG Yu,Liu Shu-tian,Analysis and Design of Two Dimensional Lattice Materials with Band-gap Characteristics  [J],Chinese Journal of Theoretical and Applied Mechanics,2011,43(2): 316-329.
[14] Khelif A, Aoubiza B, Mohammadi S,et al. Complete Band Gaps in Two-dimensional Phononic Crystal Slabs [J]. Phys Rev E Stat Nonlin Soft Matter Phys. 2006, 74(4):046610.
[15] Mohammadi S, Eftekhar A A, Khelif A,et al. Simultaneous Two-dimensional Phononic and Photonic Band Gaps in Opto-mechanical Crystal Photonic Band Gaps in Opto-mechanical Crystal Slabs [J]. Optics Express, 2010, 18(9): 9164-9172.
[16] Wang Y F, Wang Y S, Su X. Large Band Gaps of Two-dimensional Phononic Crystals with Cross-like Holes [J]. J. Appl. Phys., 2011, 110(11): 113520.
[17] Oudich M, Li Y, Assouar B M, et al. A sonic band gap based on the locally resonant phononic plates with stubs [J]. New Journal of Physics, 2010, 12(8): 083049.
PDF(1893 KB)

440

Accesses

0

Citation

Detail

Sections
Recommended

/