Vibration Characteristics of Spoke-Like Vibration Isolator Based on Locally Resonant Phononic Crystal Plates
ZHAO Haojiang1 SONG Yang2 LIU Rongqiang3
1. Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033；
2. College of Mechanical and Electrical Engineering, Northeast Forestry University, Harbin 150040;
3. School of Mechatronics Engineering, Harbin Institute of Technology, Harbin 150001
Abstract：A design of spoke-like vibration isolators composed of three-component phononic crystal plates is introduced based on the locally resonant mechanism of vibration band gaps. The low-frequency vibration characteristics of the proposed isolators are investigated through vibration gap calculation, finite element simulation and experiment. Results show that a spoke-like base plate is more effective to obtain vibration attenuation amplitudes in the gap frequency range than a rounded base plate. Periodic holes on the base plate of spoke-like pillared phononic crystal plate can enlarge the gap width by raising cutoff frequency of the vibration gap. Based on three spoke-like plates with different unit cells of double-side pillared plates, three isolators with one spoke-like plate, six isolators with two spoke-like plates and six isolators with three spoke-like plates are designed and investigated. Experimental results show that the average vibration attenuation amplitudes of the proposed spoke-like isolators with one, two and three spoke-like double-side pillared phononic crystal plates (DSPPCPs) can reach 24dB, 34dB and 38dB respectively. The structure design and investigation results provide potential applications prospect in the low-frequency vibration reduction.
赵浩江1,宋扬2，刘荣强3. 轮辐板式局域共振声子晶体隔振器的振动特性研究[J]. 振动与冲击, 2017, 36(15): 43-50.
ZHAO Haojiang1 SONG Yang2 LIU Rongqiang3. Vibration Characteristics of Spoke-Like Vibration Isolator Based on Locally Resonant Phononic Crystal Plates. JOURNAL OF VIBRATION AND SHOCK, 2017, 36(15): 43-50.
[1] Kushwaha M S, Halevi P, Martinez G, et al. Theory of acoustic band-structure of pieriodic elastic composites [J]. Physical Review B, 1994, 49(4): 2313-2322.
[2] Martinez-Sala R, Sancho J, Sanchez J V, et al. Sound attenuation by sculpture [J]. Nature, 1995, 378:241-245.
[3] Liu Z, Zhang X, Mao Y, et al. Locally resonant sonic materials[J]. Science, 2000, 289(5485): 1734-1736.
[4] Wang G, Wen X S, Wen J H, et al. Two-dimensional locally resonant phononic crystals with binary structures [J]. Physical Review Letters, 2004, 93(15): 154302.
[5] 祁鹏山，杜 军，姜久龙，等. 新型局域共振声子晶体结构的低频带隙特性研究[J]. 人工晶体学报，2016，45(4):1094-1099.
QI Peng-shan, DU Jun, JIANG Jiu-long, et al. Low-frequency band gaps in phononic crystals with novel locally resonant structure [J]. Journal of synthetic crystals, 2016, 45(4): 1094-1099.
[6] Li L, Chen T, Wu J, et al. A discretized multi-freedom-degree model for predicting the lowest local resonant gap in phononic structures [J]. Journal of Vibration and Control, 2014, 20(11): 1727-1734.
[7] 舒海生，郜冶，张法，等. 一种局域共振型角式声子晶体梁[J]. 振动与冲击，2013，32(10):157-162.
SHU Hai-sheng，GAO Ye，ZHANG Fa，et al. A kind of locally resonant angle type beam of phononic crystals [J].Journal of vibration and shock, 2013, 32(10):157-162.
[8] Liu M, Xiang J, Zhong Y. The band gap and transmission characteristics investigation of local resonant quaternary phononic crystals with periodic coating [J]. Applied Acoustics, 2015, 100: 10-17.
[9] Achaoui Y, Laude V, Benchabane S, et al. Local resonances in phononic crystals and in random arrangements of pillars on a surface [J]. Journal of Applied Physics, 2013, 114(10): 104503.
[10] Pourabolghasem R, Khelif A, Mohammadi S, et al. Physics of band-gap formation and its evolution in the pillar-based phononic crystal structures [J]. Journal of Applied Physics, 2014, 116(1): 013514.
[11] 吴健，白晓春，肖勇，等. 一种多频局域共振型声子晶体板的低频带隙与减振特性[J]. 物理学报，2016，65(6):064602.
Wu Jian, Bai Xiao-Chun, Xiao Yong, et al. Low frequency band gaps and vibration reduction properties of a multi-frequency locally resonant phononic plate [J]. Acta Phys. Sin., 2016, 65(6):064602.
[12] 王刚. 声子晶体局域共振带隙机理及减振特性研究[D]. 长沙: 国防科学技术大学，2005.
WANG Gang. Research on the Mechanism and the vibration attenuation characteristic of locally resonant band gap in phononic crystals [D]. Hunan: National University of Defense Technology, 2006.
[13] Bilal O R, Hussein M I. Trampoline metamaterial: Local resonance enhancement by springboards [J]. Applied Physics Letters, 2013, 103: 111901.
[14] Hsu J C. Local resonances-induced low-frequency band gaps in two- dimensional phononic crystal slabs with periodic stepped resonators [J]. Journal of Physics D: Applied Physics, 2011, 44(5): 055401.
[15] Wang P, Chen T N, Yu K P, et al. Lamb wave band gaps in a double-sided phononic plate [J]. Journal of Applied Physics, 2013, 113(5): 053509.
[16] Ma C, Guo J, Liu Y. Extending and lowing band gaps in one-dimensional phononic crystal strip with pillars and holes [J]. Journal of Physics and Chemistry of Solids, 2015, 87: 95-103.
[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: 083049.
[18] Assouar M B, Oudich M. Enlargement of a locally resonant sonic band gap by using double-sides stubbed phononic plates [J]. Applied Physics Letters, 2012, 100(12):123506.
[19] Assouar M B, Sun J H, Lin F S, et al. Hybrid phononic crystal plates for lowering and widening acoustic band gaps [J]. Ultrasonics, 2014, 54(8): 2159-2164.
[20] Yu K, Chen T, Wang X. Band gaps in the low-frequency range based on the two-dimensional phononic crystal plates composed of rubber matrix with periodic steel stubs [J]. Physica B: Condensed Matter, 2013, 416: 12-16.
