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Bandgap properties in locally resonant phononic crystal double panel structures with periodically attached pillars

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Języki publikacji
EN
Abstrakty
EN
The locally resonant (LR) phononic crystal double panel structure made of a two-dimensional periodic array of a two-component cylindrical LR pillar connected between the upper and lower plates is proposed, and the bandgap properties of the structure are investigated theoretically in this paper. The band structures, displacement fields of eigenmodes and transmission power spectrums of the corresponding 8×8 finite structure are calculated by the finite element method. Numerical results and further analysis demonstrate that a band gap with a low starting frequency and a wide band width is opened by the coupling between dominant vibrations of the pillars and plate modes of the upper and lower plates when the vibration source and the receiver are considered on different sides of the structure. By comparing the band structures and displacement fields of the double panel and those of the single plate with the same parameters, many common characteristics are displayed. Then, the influence of geometrical parameters on the band gap are studied and understood with the help of a simple ‘spring-mass’ model.
Rocznik
Strony
1167--1179
Opis fizyczny
Bibliogr. 22 poz., rys., tab.
Twórcy
autor
  • State Key Laboratory of Mechanics and Control of Mechanical Structures, College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, China
autor
  • State Key Laboratory of Mechanics and Control of Mechanical Structures, College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, China
Bibliografia
  • 1. Carneal J.P., Fuller C.R., 2004, An analytical and experimental investigation of active structural acoustic control of noise transmission through double panel systems, Journal of Sound and Vibration, 272, 3-5, 749-771
  • 2. Goffaux C., Sanchez-Dehesa J., Lambin P. ´ , 2004, Comparison of the sound attenuation efficiency of locally resonant materials and elastic band-gap structures, Physical Review B, 70, 18, 184302
  • 3. Hirsekorn M., Delsanto P.P., Batra N.K., Matic P., 2004, Modelling and simulation of acoustic wave propagation in locally resonant sonic materials, Ultrasonics, 42, 1, 231-235
  • 4. Ho K.M., Cheng C.K., Yang Z., Zhang X.X., Sheng P., 2003, Broadband locally resonant sonic shields, Applied Physics Letters, 83, 26, 5566-5568
  • 5. Hsu J.C., 2011, Local resonances-induced low-frequency band gaps in two-dimensional phononic crystal slabs with periodic stepped resonators, Journal of Physics D, Applied Physics, 44, 5, 55401-55409
  • 6. Hsu J.C., Wu T.T., 2007, Lamb waves in binary locally resonant phononic plates with twodimensional lattices, Applied Physics Letters, 90, 20, 201904-201904-3
  • 7. Li S., Chen T., Wang X., Li Y., Chen W., 2016, Expansion of lower-frequency locally resonant band gaps using a double-sided stubbed composite phononic crystals plate with composite stubs, Physics Letters A, 380, 25-26, 2167-2172
  • 8. Li Y., Chen T., Wang X., Xi Y., Liang Q., 2015, Enlargement of locally resonant sonic band gap by using composite plate-type acoustic metamaterial, Physics Letters A, 379, 5, 412-416
  • 9. Liu Z., Zhang X., Mao Y., Zhu Y., Yang Z., Chan C.T., Sheng P., 2000, Locally resonant sonic materials, Science, 289, 5485, 1734-1736
  • 10. Ma J., Hou Z., Assouar B.M., 2014, Opening a large full phononic band gap in thin elastic plate with resonant units, Journal of Applied Physics, 115, 9, 093508-093508-5
  • 11. Oudich M., Li Y., Assouar B.M., Hou Z., 2010, A sonic band gap based on the locally resonant phononic plates with stubs, New Journal of Physics, 12, 2, 201-206
  • 12. Oudich M., Senesi M., Assouar M.B., Ruzenne M., Sun J.-H., Vincent B., Hou Z., Wu T.-T., 2011, Experimental evidence of locally resonant sonic band gap in two-dimensional phononic stubbed plates, Physical Review B, 84, 16, 667-673
  • 13. Pietrzko S.J., Mao Q., 2008, New results in active and passive control of sound transmission through double wall structures, Aerospace Science and Technology, 12, 1, 42-53
  • 14. Qian D., Shi Z., 2016, Bandgap properties in locally resonant phononic crystal double panel structures with periodically attached spring-mass resonators, Physics Letters A, 380, 41, 3319-3325
  • 15. Qian D„ Shi Z., 2017, Using PWE/FE method to calculate the band structures of the semiinfinite beam-like PCs: Periodic in z-direction and finite in x-y plane, Physics Letters A, 381, 17, 1516-1524
  • 16. Sainidou R., Stefanou N., Psarobas I.E., Modinos A., 2002, Scattering of elastic waves by a periodic monolayer of spheres, Physical Review B, 66, 2, 024303
  • 17. Sigalas M.M., Economou E.N., 1992, Elastic and acoustic wave band structure, Journal of Sound and Vibration, 158, 2, 377-382
  • 18. Vasseur J.O., Deymier P.A., Khelif A., Lambin Ph., Djafari-Rouhani B., Akjouj A., Dobrzynski L., Fettouhi N., Zemmouri J., 2002, Phononic crystal with low filling fraction and absolute acoustic band gap in the audible frequency range: A theoretical and experimental study, Physical Review E, 65, 5, 056608
  • 19. Xiao W., Zeng G.W., Cheng Y.S., 2008, Flexural vibration band gaps in a thin plate containing a periodic array of hemmed discs, Applied Acoustics, 69, 3, 255-261
  • 20. Xiao Y., Wen J., Wen X., 2012, Flexural wave band gaps in locally resonant thin plates with periodically attached spring-mass resonators, Journal of Physics D, Applied Physics, 45, 19, 195401-195412
  • 21. Zhang X., Liu Z., Liu Y., Wu F., 2003, Elastic wave band gaps for three-dimensional phononic crystals with two structural units, Physics Letters A, 313, 5, 455-460
  • 22. Zhao H.J., Guo H.W., Gao M.X., Liu R.-Q., Deng Z.-Q., 2016, Vibration band gaps in double-vibrator pillared phononic crystal plate, Journal of Applied Physics, 119, 1, 377
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-94a248fd-aecb-4de2-8d11-963048e132b0
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