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Dönen Kare Çubuklu İki Boyutlu Fononik Kristalin Dispersiyon Özellikleri

Year 2019, Volume: 19 Issue: 3, 536 - 543, 31.12.2019
https://doi.org/10.35414/akufemubid.577855

Abstract

Bu çalışmada, bir kare
örgülü hava matrisinde yer alan kare şekilli saçılardan oluşan iki boyutlu
fononik kristallerin bant yapısı çalışıldı. Bant yapısı hesaplamaları için, bir
hava matrisindeki kare LiNbO3 çubuklarından oluşan iki boyutlu bir
fononik kristal dikkate alındı. Kare çubukların yönelimlerinin akustik bant
aralıkları üzerindeki etkisi, iletim kaybı spektrumları, basınç alanı haritası
ve dağılım ilişkileri sonlu elemanlar yöntemi ve Bloch teoremi kullanılarak
hesaplandı. Bu yapı için maksimum bant aralığı 45° dönme açısında bulundu.
Sayısal sonuçlar, bant aralıklarının kare çubukların dönüş açısını değiştirerek
ayarlanabileceğini göstermektedir.

References

  • Ang, L.Y.L., Koh, Y. K. and Lee, H.,2016. A potential for cabin noise control in automobiles and armored vehicles. International Journal of Applied Mechanics , 8(5), 1650072.
  • Chen, A.L., Wang, Y.S., Guo, Y.F. and Wang, Z.D., 2008. Band structures of Fibonacci phononic quasicrystals. Solid State Communications, 145, 103-108.
  • COMSOL AB, Stockholm, Sweden. COMSOL Multiphysics® v. 5.2. www.comsol.com.
  • El-Naggar, S.A., Mostafa, S.I. and Rafat, N.H., 2011. Complete band gaps of phononic crystal plates with square rods. Ultrasonics, 52(4), 536-542.
  • Haberman, M.R. and Guild, M.D., 2016. Acoustic Metamaterials. Physics Today, 69(6), 42–48.Haberman, M.R. and Norris, A.N., 2016. Acoustic Metamaterials. Acoustics Today, 12(3), 31–41.
  • Hsu, J.C. and Wu, T.T., 2017. Lamb waves in binary locally resonant phononic plates with two dimensional lattices. Applied Physics Letters, 90, 201904.
  • Kafesaki, M. and Economou, E.N., 1999. Multiple-scattering theory for three-dimensional periodic acoustic composites. Physical Review B, 60, 11993-12001.
  • Khelif, A., Choujaa, A., Benchabane, S., Djafari-Rouhani, B. and Laude, V., 2004. Guiding and bending of acoustic waves in highly confined phononic crystal waveguides. Applied Physics Letters, 84(22), 4400-4402.
  • Kushwaha, M.S. and Halevi, P., 1994. Band-gap engineering in periodic elastic composites. Applied Physics Letters, 64(9), 1085–1087.
  • Kushwaha, M.S., Halevi, P., Dobrzynski, L. and Djafari-Rouhani, B., 1993. Acoustic band structure of periodic elastic composites. Physical Review Letters, 71(13), 2022–2025.
  • Kushwaha, M.S., 2016. The Phononic Crystals: An unending quest for tailoring acoustics. Modern Physics Letters B, 30(19), 1630004
  • Li, F-L., Wang, Y-S., Zhang, C., “Bandgap calculation of two-dimensional mixed solid–fluid phononic crystals by Dirichlet-to-Neumann maps”, Physica Scripta, vol. 84, pp. 055402, 2011.
  • Li, J., Zhang, Y.S. and Zhang, C., 2008. Finite element method for analysis of band structures of three dimensonal phononic crystals. 2008 IEEE International Ultrasonics Symposium Proceedings, vol. 1-4, 1468-1471.
  • Li, X., Wu, F., Hu, H., Zhong, S. and Liu, Y., 2003. Large acoustic band gaps created by rotating square rods in two-dimensional periodic composites. Journal of Physics D: Applied Physics,m36, L15-L17.
  • Liu, Z., Zhang, X., Mao, Y., Zhu, Y.Y., Yang, Z., Chan, C.T. and Sheng, P., 2000. Locally resonant sonic materials. Science, 289(5485), 1734-1736.
  • Lu, M.H., Feng, L. and Chen, Y.F., 2009. Phononic crystals and acoustic metamaterials. Materials Today, 12(12), 34-42.
  • Júnior, E.J.P. de M. and Santos, J.M.C.D., 2017. Band Structure in Carbon Nanostructure Phononic Crystals. Materials Research, 20(2), 555-571.
  • Meseguer, F., Holgado, M., Caballero, D., Benaches, N., Sánchez-Dehesa, J., López, C. And Llinares, J., 1999. Rayleigh-wave attenuation by a semi-infinite two-dimensional elastic-band-gap crystal. Physical Review B, 59, 12169–12172.
  • Montero de Espinosa, F.R., Jiménez, E. and Torres, M., 1998. Ultrasonic band gap in a periodic two-dimensional composite. Physical Review Letters, 80, 1208-1211.
  • Pennec, Y., Rouhani, B.D., El Boudouti, E., Li, C., El Hassouani, Y., Vasseur et al, J.O., 2011. Band gaps and waveguiding in phoxonic silicon crystal slabs. Chinese Journal of Physics, 49, 100–110.
  • Pennec, Y., Vasseur, J.O., Djafari-Rouhani, B., Dobrzyński, L. and Deymier, P.A., 2010. Two-dimensional phononic crystals: Examples and applications. Surface Science Reports, 65, 229-291.
  • Sainidou, R., Stefanou, N. and Modinos, A., 2002. Formation of absolute frequency gaps in three-dimensional solid phononic crystals. Physical Review B, 66(21), 2012301.
  • Sigalas, M.M. and Economou, E.N., 1992. Elastic and acoustic-wave band-structure. Journal of Sound and Vibration ,158(2), 377–382.
  • Tanaka, Y., Tomoyasu, Y. and Tamura, S., 2000. Band structure of acoustic waves in phononic lattices: Two-dimensional composites with large acoustic mismatch. Journal of Sound and Vibration, 62, 7387-7392.
  • Vasseur, J. O., Deymier, P.A., Frantziskonis, G., Hong, G., DRouhani, B. and Dobrzynski, L., 1998. Experimental evidence for the existence of absolute acoustic band gaps in two-dimensional periodic composite media. Journal of Physics: Condensed Matter, 10, 6051–6064.
  • Wang, J., Xu ,X., Liu ,X. and Xu ,G., 2009. A tunable acoustic filter made by periodical structured materials. Applied Physics Letters, 94(18), 181908.
  • Wang, X.H., Gu, B. Y., Li, Z.Y. and Yang, G.Z., 1999. Large absolute photonic band gaps created by rotating noncircular rods in two-dimensional lattices. Physical Review B, 60(16), 11417-11411.
  • Wang, Y.Z., Li, F.M., Huang, W.H. and Wang, Y.S., 2007. Effects of inclusion shapes on the band gaps in two-dimensional piezoelectric phononic crystals. Journal of Physics: Condensed Matter, 19, 496204.
  • Wilm, M., Khelif, A., Laude, V. and Ballandras, S., 2007. Design guidelines of 1-3 piezoelectric composites dedicated to ultrasound imaging transducers, based on frequency band-gap considerations. The Journal of the Acoustical Society of America, 122(2), 786-793.
  • Wu, T.T., Wu, L.C. and Huang, Z.G., 2005. Frequency band-gap measurement of two-dimensional air/silicon phononic crystals using layered slanted finger interdigital transducers. Journal of Applied Physics, 97(9), 94916.
  • Yu, D., Wen, J., Zhao, H., Liu, Y. and Wen, X., 2008. Vibration reduction by using the idea of phononic crystals in a pipe-conveying fluid. Journal of Sound and Vibration, 318(1-2), 193-205.
Year 2019, Volume: 19 Issue: 3, 536 - 543, 31.12.2019
https://doi.org/10.35414/akufemubid.577855

Abstract

References

  • Ang, L.Y.L., Koh, Y. K. and Lee, H.,2016. A potential for cabin noise control in automobiles and armored vehicles. International Journal of Applied Mechanics , 8(5), 1650072.
  • Chen, A.L., Wang, Y.S., Guo, Y.F. and Wang, Z.D., 2008. Band structures of Fibonacci phononic quasicrystals. Solid State Communications, 145, 103-108.
  • COMSOL AB, Stockholm, Sweden. COMSOL Multiphysics® v. 5.2. www.comsol.com.
  • El-Naggar, S.A., Mostafa, S.I. and Rafat, N.H., 2011. Complete band gaps of phononic crystal plates with square rods. Ultrasonics, 52(4), 536-542.
  • Haberman, M.R. and Guild, M.D., 2016. Acoustic Metamaterials. Physics Today, 69(6), 42–48.Haberman, M.R. and Norris, A.N., 2016. Acoustic Metamaterials. Acoustics Today, 12(3), 31–41.
  • Hsu, J.C. and Wu, T.T., 2017. Lamb waves in binary locally resonant phononic plates with two dimensional lattices. Applied Physics Letters, 90, 201904.
  • Kafesaki, M. and Economou, E.N., 1999. Multiple-scattering theory for three-dimensional periodic acoustic composites. Physical Review B, 60, 11993-12001.
  • Khelif, A., Choujaa, A., Benchabane, S., Djafari-Rouhani, B. and Laude, V., 2004. Guiding and bending of acoustic waves in highly confined phononic crystal waveguides. Applied Physics Letters, 84(22), 4400-4402.
  • Kushwaha, M.S. and Halevi, P., 1994. Band-gap engineering in periodic elastic composites. Applied Physics Letters, 64(9), 1085–1087.
  • Kushwaha, M.S., Halevi, P., Dobrzynski, L. and Djafari-Rouhani, B., 1993. Acoustic band structure of periodic elastic composites. Physical Review Letters, 71(13), 2022–2025.
  • Kushwaha, M.S., 2016. The Phononic Crystals: An unending quest for tailoring acoustics. Modern Physics Letters B, 30(19), 1630004
  • Li, F-L., Wang, Y-S., Zhang, C., “Bandgap calculation of two-dimensional mixed solid–fluid phononic crystals by Dirichlet-to-Neumann maps”, Physica Scripta, vol. 84, pp. 055402, 2011.
  • Li, J., Zhang, Y.S. and Zhang, C., 2008. Finite element method for analysis of band structures of three dimensonal phononic crystals. 2008 IEEE International Ultrasonics Symposium Proceedings, vol. 1-4, 1468-1471.
  • Li, X., Wu, F., Hu, H., Zhong, S. and Liu, Y., 2003. Large acoustic band gaps created by rotating square rods in two-dimensional periodic composites. Journal of Physics D: Applied Physics,m36, L15-L17.
  • Liu, Z., Zhang, X., Mao, Y., Zhu, Y.Y., Yang, Z., Chan, C.T. and Sheng, P., 2000. Locally resonant sonic materials. Science, 289(5485), 1734-1736.
  • Lu, M.H., Feng, L. and Chen, Y.F., 2009. Phononic crystals and acoustic metamaterials. Materials Today, 12(12), 34-42.
  • Júnior, E.J.P. de M. and Santos, J.M.C.D., 2017. Band Structure in Carbon Nanostructure Phononic Crystals. Materials Research, 20(2), 555-571.
  • Meseguer, F., Holgado, M., Caballero, D., Benaches, N., Sánchez-Dehesa, J., López, C. And Llinares, J., 1999. Rayleigh-wave attenuation by a semi-infinite two-dimensional elastic-band-gap crystal. Physical Review B, 59, 12169–12172.
  • Montero de Espinosa, F.R., Jiménez, E. and Torres, M., 1998. Ultrasonic band gap in a periodic two-dimensional composite. Physical Review Letters, 80, 1208-1211.
  • Pennec, Y., Rouhani, B.D., El Boudouti, E., Li, C., El Hassouani, Y., Vasseur et al, J.O., 2011. Band gaps and waveguiding in phoxonic silicon crystal slabs. Chinese Journal of Physics, 49, 100–110.
  • Pennec, Y., Vasseur, J.O., Djafari-Rouhani, B., Dobrzyński, L. and Deymier, P.A., 2010. Two-dimensional phononic crystals: Examples and applications. Surface Science Reports, 65, 229-291.
  • Sainidou, R., Stefanou, N. and Modinos, A., 2002. Formation of absolute frequency gaps in three-dimensional solid phononic crystals. Physical Review B, 66(21), 2012301.
  • Sigalas, M.M. and Economou, E.N., 1992. Elastic and acoustic-wave band-structure. Journal of Sound and Vibration ,158(2), 377–382.
  • Tanaka, Y., Tomoyasu, Y. and Tamura, S., 2000. Band structure of acoustic waves in phononic lattices: Two-dimensional composites with large acoustic mismatch. Journal of Sound and Vibration, 62, 7387-7392.
  • Vasseur, J. O., Deymier, P.A., Frantziskonis, G., Hong, G., DRouhani, B. and Dobrzynski, L., 1998. Experimental evidence for the existence of absolute acoustic band gaps in two-dimensional periodic composite media. Journal of Physics: Condensed Matter, 10, 6051–6064.
  • Wang, J., Xu ,X., Liu ,X. and Xu ,G., 2009. A tunable acoustic filter made by periodical structured materials. Applied Physics Letters, 94(18), 181908.
  • Wang, X.H., Gu, B. Y., Li, Z.Y. and Yang, G.Z., 1999. Large absolute photonic band gaps created by rotating noncircular rods in two-dimensional lattices. Physical Review B, 60(16), 11417-11411.
  • Wang, Y.Z., Li, F.M., Huang, W.H. and Wang, Y.S., 2007. Effects of inclusion shapes on the band gaps in two-dimensional piezoelectric phononic crystals. Journal of Physics: Condensed Matter, 19, 496204.
  • Wilm, M., Khelif, A., Laude, V. and Ballandras, S., 2007. Design guidelines of 1-3 piezoelectric composites dedicated to ultrasound imaging transducers, based on frequency band-gap considerations. The Journal of the Acoustical Society of America, 122(2), 786-793.
  • Wu, T.T., Wu, L.C. and Huang, Z.G., 2005. Frequency band-gap measurement of two-dimensional air/silicon phononic crystals using layered slanted finger interdigital transducers. Journal of Applied Physics, 97(9), 94916.
  • Yu, D., Wen, J., Zhao, H., Liu, Y. and Wen, X., 2008. Vibration reduction by using the idea of phononic crystals in a pipe-conveying fluid. Journal of Sound and Vibration, 318(1-2), 193-205.
There are 31 citations in total.

Details

Primary Language Turkish
Subjects Engineering
Journal Section Articles
Authors

Selami Palaz 0000-0002-2322-8898

Oral Oltulu 0000-0001-6733-1769

Amirullah M. Mamedov This is me 0000-0002-0837-3931

Publication Date December 31, 2019
Submission Date June 13, 2019
Published in Issue Year 2019 Volume: 19 Issue: 3

Cite

APA Palaz, S., Oltulu, O., & Mamedov, A. M. (2019). Dönen Kare Çubuklu İki Boyutlu Fononik Kristalin Dispersiyon Özellikleri. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, 19(3), 536-543. https://doi.org/10.35414/akufemubid.577855
AMA Palaz S, Oltulu O, Mamedov AM. Dönen Kare Çubuklu İki Boyutlu Fononik Kristalin Dispersiyon Özellikleri. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. December 2019;19(3):536-543. doi:10.35414/akufemubid.577855
Chicago Palaz, Selami, Oral Oltulu, and Amirullah M. Mamedov. “Dönen Kare Çubuklu İki Boyutlu Fononik Kristalin Dispersiyon Özellikleri”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 19, no. 3 (December 2019): 536-43. https://doi.org/10.35414/akufemubid.577855.
EndNote Palaz S, Oltulu O, Mamedov AM (December 1, 2019) Dönen Kare Çubuklu İki Boyutlu Fononik Kristalin Dispersiyon Özellikleri. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 19 3 536–543.
IEEE S. Palaz, O. Oltulu, and A. M. Mamedov, “Dönen Kare Çubuklu İki Boyutlu Fononik Kristalin Dispersiyon Özellikleri”, Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, vol. 19, no. 3, pp. 536–543, 2019, doi: 10.35414/akufemubid.577855.
ISNAD Palaz, Selami et al. “Dönen Kare Çubuklu İki Boyutlu Fononik Kristalin Dispersiyon Özellikleri”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 19/3 (December 2019), 536-543. https://doi.org/10.35414/akufemubid.577855.
JAMA Palaz S, Oltulu O, Mamedov AM. Dönen Kare Çubuklu İki Boyutlu Fononik Kristalin Dispersiyon Özellikleri. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. 2019;19:536–543.
MLA Palaz, Selami et al. “Dönen Kare Çubuklu İki Boyutlu Fononik Kristalin Dispersiyon Özellikleri”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, vol. 19, no. 3, 2019, pp. 536-43, doi:10.35414/akufemubid.577855.
Vancouver Palaz S, Oltulu O, Mamedov AM. Dönen Kare Çubuklu İki Boyutlu Fononik Kristalin Dispersiyon Özellikleri. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. 2019;19(3):536-43.