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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 吳政忠(Tsung-Tsong Wu) | |
dc.contributor.author | Tzu-Chin Tsai | en |
dc.contributor.author | 蔡子勤 | zh_TW |
dc.date.accessioned | 2021-06-12T18:10:41Z | - |
dc.date.available | 2008-11-15 | |
dc.date.copyright | 2007-11-15 | |
dc.date.issued | 2007 | |
dc.date.submitted | 2007-10-19 | |
dc.identifier.citation | 1. M. S. Kushwaha, P. Halevi, L. Dobrzynski, and B. Djafari-Rouhani, “Acoustic band structure of periodic elastic composites,” Phys. Rev. Lett. 71, 2022 (1993).
2. M. S. Kushwaha, P. Halevi, G. Martinez, L. Dobrzynski, and B.Djafari-Rouhani, “Theory of acoustic band structure of periodic elastic composites,” Phys. Rev. B 49, 2313 (1994). 3. M. S. Kushwaha and P. Halevi, “Band-gap engineering in periodic elastic composites,” Appl. Phys. Lett. 64, 1085(1994). 4. Z. Liu, X. Zhang, Y. Mao, Y. Y. Zhu, Z. Yang, C. T. Chan, and P. Sheng, ”Locally resonant sonic materials,” Science 289, 1734-1736 (2000) 5. Z. Liu, C. T. Chan, and P. Sheng, “Three-component elastic wave band-gap material,” Phys. Rev. B 65, 165116 (2002) 6. K. M. Ho, C. K. Cheng, Z. Yang, X. X. Zhang, and P. Sheng, ”Broadband locally resonant sonic shields,” Appl. Phys. Lett. 83(26), 5566-5568 (2003) 7. P. Sheng, X. X. Zhang, Z. Liu, C. T. Chan, “Locally resonant sonic materials,” Physica B338, 201-205(2003) 8. C. Goffaux, J. Sanchez-Dehesa, A. L. Yeyati, Ph. Lambin, A. Khelif, J. O. Vasseur, and B. Djafari-Rouhani, “Evidence of Fano-Like interference Phenomena in locally resonant materials,” Appl. Phys. Lett. 88(22), 225502 (2002) 9. C. Goffaux, F. Maseri, J. O. Vasseur, B. Djafari-Rouhani, and Ph. Lambin, “Measurements and calculations of the sound attenuation by a phononic band gap structure suitable for an insulating partition application,” Appl. Phys. Lett. 83(2), 281-283 (2003) 10. C. Goffaux and J. Sanchez-Dehesa, “Two-dimensional phononic crystals studied using a variational method: Application to lattices of locally resonant materials,” Phys. Rev. B 67, 144301 (2003) 11. C. Goffaux, J. Sanchez-Dehesa, and Ph. Lambin, “Comparison of the sound attenuation efficiency of locally resonant materials and elastic band-gap structures,” Phys. Rev. B 70, 184302 (2004) 12. M. Hirsekorn, “Small-size sonic crystals with strong attenuation bands in the audible frequency range,” Appl. Phys. Lett. 84(17), 3364-3366 (2004) 13. Z. Liu, C. T. Chan, and P. Sheng, “Analytic model of phononic crystals with local resonances,” Phys. Rev. B 71, 014103 (2005) 14. E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett., 58(20), 2059-2062 (1987). 15. E. Yablonovitch and T. J. Gmitter, “Photonic band structure: The face-centered-cubic case,” Phys. Rev. Lett. 63(18), 1950-1953 (1989). 16. Tsung-Tsong Wu, Zi-Gui Huang, and S. Lin, “Surface and bulk acoustic waves in two-dimensional phononic crystal consisting of materials with general anisotropy,” Phys. Rev. B 69,094301 (2004). 17. Zi-Gui Huang, Tsung-Tsong Wu, and S. Lin, “Analyses of elastic waves in Aluminum/Barium sodium niobate and Quartz/Epoxy phononic structures,” Advances in Nondestructive Evaluation, Pt 1-3 Key Engineering Materials 270-273, 1119-1126, Part 1-3 (2004). 18. Tsung-Tsong Wu, and Zi-Gui Huang, “Level repulsions of bulk acoustic waves in composite materials,” Phys. Rev. B 70, 214304 (2004). 19. Zi-Gui Huang, and Tsung-Tsong Wu, “Temperature effect on the bandgaps of surface and bulk acoustic waves in two-dimensional phononic crystals,” IEEE, Transactions on Ultrasonics Ferroelectrics and Frequency Control, 52 (3), 365-370 (2005). 20. Tsung-Tsong Wu, Z.-C. Hsu, and Zi-Gui Huang, “Band gaps and the electromechanical coupling coefficient of a surface acoustic wave in a two-dimensional piezoelectric phononic crystal,” Phys. Rev. B 71 (6), 064303 (2005). 21. Tsung-Tsong Wu, L.-C Wu, and Zi-Gui Huang, “Frequency band-gap measurement of two-dimensional air/silicon phononic crystals using layered slanted finger interdigital transducers,” Journal of Applied Physics 97(9), 094916 (2005). 22. Tsung-Tsong Wu, Zi-Gui Huang, and S.-Y. Liu, “Surface acoustic wave band gaps in micro-machined air/silicon phononic structures - theoretical calculation and experiment,” Zeitschrift Fur Kristallographie 220 (9-10), 841-847 (2005). 23. J.-C. Hsu and T.-T. Wu, “Bleustein-Gulyaev-Shimizu surface acoustic waves in two-dimensional piezoelectric phononic crystals,” IEEE, Transactions on Ultrasonics Ferroelectrics and Frequency Control, 53 (6), 1169-1176 (2006). 24. J.-C. Hsu and T.-T. Wu, “Efficient formulation for band-structure calculations of two-dimensional phononic-crystal plates,” Phys. Rev. B 74, 144303 (2006). 25. J.-C. Hsu and T.-T. Wu, “Lamb waves in binary locally resonant phononic plates with two-dimensional lattices” Appl. Phys. Lett. 90 (20), 201904 (2007). 26. Jia-Hong Sun, and Tsung-Tsong Wu, “The study of acoustic band gaps in 2-D air/aluminum and steel/epoxy phononic structure,” Advances in Nondestructive Evaluation, Pt 1-3 Key Engineering Materials 270-273, 1127-1134, Part 1-3 (2004). 27. Jia-Hong Sun, and Tsung-Tsong Wu, “Analyses of mode coupling in joined parallel phononic crystal waveguides,” Phys. Rev. B 71 (17), 174303 (2005). 28. Po-Feng Hsieh, Tsung-Tsong Wu and Jia-Hong Sun, “Three-Dimensional Phononic Band Gap Calculations Using the FDTD Method and a PC Cluster System,” IEEE, J. Ultrasonics, Ferroelectrics and Freq. Control, 53 (1), 148-158 (2006). 29. Tsung-Tsong Wu, Chung-Hao Hsu, and Jia-Hong Sun, “Design of a highly magnified directional acoustic source based on the resonant cavity of two-dimensional phononic crystals” Appl. Phys. Lett. 89 (17), 171912 (2006). 30. Jia-Hong Sun, and Tsung-Tsong Wu, “Propagation of surface acoustic waves through sharply bent two-dimensional phononic crystal waveguides using a finite-difference time-domain method,” Phys. Rev. B 74 (17), 174305 (2006) 31. M. Sigalas and E. N. Ecconomou, “Elastic and acoustic wave band structure,” J. Sound Vib. 158, 377 (1992). 32. M. S. Kushwaha, P. Halevi, L. Dobrzynski, and B. Djafari-Rouhani, “Acoustic Band Structure of Periodic Elastic Composites,” Phys. Rev. Lett. 71, 2022 (1993). 33. M. S. Kushwaha, P. Halevi, G. Martinez, L. Dobrzynski, and B. Djafari-Rouhani, “Theory of acoustic band structure of periodic elastic composites,” Phys. Rev. B 49, 2313-2322 (1994). 34. J. O. Vasseur, B. Djafari-Rouhani, L. Dobrzynski, M. S. Kushwaha, and P. Halevi, “Complete acoustic band gaps in periodic fibre reinforced composite materials: the carbon/epoxy composite and some metallic systems,” J. Phys.: Condens. Matter 6, 8759-8770 (1994). 35. M. M. Sigalas, and E. N. Economou, “Attenuation of multiple-scattered sound,” Europhys. Lett. 36, 241-246 (1996). 36. M. S. Kushwaha, and P. Halevi, “Stop-bands for periodic metallic rods: Sculptures that can filter the noise,” Appl. Phys. Lett. 70, 3218-3220 (1997). 37. F. Wu, Z. Hou, Z. Liu, and Y. Liu, “Point defect states in two-dimensional phononic crystals,” Phy. Lett. A 292, pp. 198-202 (2001). 38. C. Goffaux, and J. P. Vigneron, “Theoretical study of a tunable phononic band gap system,” Phys. Rev. B 64, 075118 (2001). 39. F. Wu, Z. Liu, and Y. Liu, “Acoustic band gaps in 2D liquid phononic crystals of rectangular structure,” J. Phys. D 35, 162-165 (2002). 40. F. Wu, Z. Liu, and Y. Liu, “Acoustic band gaps created by rotating square rods in a two-dimensional lattice,” Phys. Rev. E 66, 046628 (2002). 41. M. Wilm, A. Khelif, S. Ballandras, and V. Laude, “Out-of-plane propagation of elastic waves in two-dimensional phononic band-gap materials,” Phys. Rev. E 67, 065602 (2003). 42. X. Li, F. Wu, H. Hu, S. Zhong, and Y. Liu, “Large acoustic band gaps created by rotating square rods in two-dimensional periodic composites,” J. Phys. D: Appl. Phys. 36, L15-L17 (2003). 43. X. Li and Z. Liu, “Coupling of cavity modes and guiding modes in two-dimensional phononic crystals,” Solid State Communications 133, pp. 397-402 (2005). 44. M. Wilm, S. Ballandras, V. Laude, and T. Pastureaud, “A full 3D plane-wave-expansion model for 1-3 piezoelectric composite structures,” J. Acoust. Soc. Am. 112, 3 (2002). 45. A. Khelif, B. Aoubiza, S. Mohammadi, A. Adibi, and V. Laude, “Hypersonic band gaps in two-dimensional piezoelectric phononic crystal slabs,” IEEE Ultrasonics Symposium, vol. 1, 65- 68(2005). 46. J. S. Jensen and O. Sigmund, “Phononic band gap structures as optimal designs,” proceedings of the IUTAM symposium on Asymptotics, Singularities, and Homogenisation in Problems of Mechanics. Kluwer Academic Publishers, pp. 71-81(2003). 47. Y. Tanaka, Y. Tomoyasu, and S. I. Tamura, “Band structure of acoustic waves in phononic lattices: Two-dimensional composites with large acoustic mismatch,” Phys. Rev. B, vol. 62, no. 11, pp. 7387–7392, (2000). 48. Vasseur, J. O., Deymier, P. A., Chenni, B., Djafari-Rouhani, B., Dobrzynski, L. and Prevost, D. “Experimental and Theoretical Evidence for the Existence of Absolute Acoustic Band Gaps in Two-Dimensional Solid Phononic Crystals,” Phys. Rev. Lett., vol. 86, no 14, pp. 3012-3015(2001), 49. P. Sheng, “Introduction to Wave Scattering Localization, and Mesoscopic Phenomena,” Academic Press, San Diego, 1995. | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/27581 | - |
dc.description.abstract | 本論文主要為分析及討論具週期性柱狀表面平板之板波局部共振現象。本文所使用的計算方法為有限元素法,有限元素法長久以來被廣泛使用在結構問題的探討及模擬,搭配上布拉格(Bloch)週期性邊界條件,有限元素法可以有效的分析及計算二維聲子晶體的頻散曲線圖(dispersion relation)及位移場。本文亦利用算例來比較及分析有限元素法與平面波展開法及時間域有限差分法的差異。
在分析計算二維聲子晶體結構中,首先利用鋼圓柱以正方晶格無窮排列於鋼基材之兩面。由頻散關係圖形,可清楚的發現頻溝現象,經過分析及比對,可以知道由鋼柱高度及鋼板厚度比例即為決定頻溝現象的主要參數。 第二部分,在分析以矽圓柱為無窮週期單面排列於矽基材上時,發現有駐波型式的模態出現在頻散關係曲線圖中,由於駐波模態的出現可知其群速度為零。研究中指出,當圓柱上有凹槽時,可以使駐波型式的模態頻率下降,當調整凹槽的幾何條件,可以使駐波模態座落在頻溝之中,造成所謂的局部共振現象。當局部共振現象發生時,彈性波無法在結構中傳遞,而造成彈性波會被侷限在波源附近,即所謂之波局域化(wave localization)。 最後,根據以上之物理性研究,及特定之材料組合暨合理的幾何條件,在聲子晶體頂端的幾何凹槽內,位移場的變化型態主要在XY平面上,若在此缺陷內滴入微量的液體或液滴,可造成液體或液滴因外圍邊界變形而受到擠壓,局部共振型式的現象可以被設計作為在微分析上液珠混合或高頻震盪加速反應時效之應用。 | zh_TW |
dc.description.abstract | In this thesis, the phononic local resonances of lamb waves in a plate with periodic stubbed surface are simulated and analyzed. The calculations of dispersion curves of these active structures are conducted with the help of the finite element method (FEM). Numerical examples are obtained for a square lattice of columns grown on a steel slab. It is found that several complete band gaps with a variable bandwidth exist for elastic waves. We found that the key parameter for the existence position and width of these complete band gaps is the ratio about the columns height, h, and the slab thickness, d.
Secondly, the phenomena of standing wave modes in phononic crystal structures are discussed and analyzed. According to the cavities set on the phononic crystal structures, some standing wave modes are located in the band gap. When the standing wave modes are located in band gaps, local resonances are occurred. Finally, some applications of local resonances are designed because the dispersion curves and displacement fields are simulated. This advantage can be used to mix or vibrate in high frequency. In microanalysis, this method can be used to accelerate the reactions of liquids. | en |
dc.description.provenance | Made available in DSpace on 2021-06-12T18:10:41Z (GMT). No. of bitstreams: 1 ntu-96-R94543055-1.pdf: 5790358 bytes, checksum: fc661e3d30b82caf423c9365e2308049 (MD5) Previous issue date: 2007 | en |
dc.description.tableofcontents | 謝誌-I
中文摘要-II ABSTRACT-III CONTENTS-IV NOTATIONS-VI LIST OF FIGURES-VIII LIST OF TABLES-XIII CHAPTER 1 INTRODUCTION-1 1-1 Motivation-1 1-2 Literature Review-2 1-3 Overview of the Text-3 CHAPTER 2 THEORY OF PHONONIC CRYSTALS AND FINITE ELEMENT METHOD-7 2-1 Theory of the Wave Propagation in the Phononic Crystals-7 2-1.1 Governing Equation-8 2-1.2 Bloch’s Theorem and Periodic Boundary Condition-9 2-2 Comparison between FEM and PWE in Bulk and Lamb Waves-10 2-3 Comparison between FEM and FDTD in Bulk Waves-13 CHAPTER 3 COMPLETE BAND GAPS IN PHONONIC-CRYSTAL SLABS ACCOMPANIED WITH PERIODIC COLUMNS-23 3-1 Numerical Simulation of Band Structures-23 3-2 Eigenmodes Analysis-28 3-3 Application of Phononic Crystal Slabs with Columns-31 CHAPTER 4 LOCAL RESONANCES OF LAMB WAVES IN A PLATE WITH PHONONIC BAND STRUCTURES ON THE TOP-59 4-1 Characteristics of Local Resonances-59 4-2 Phononic Crystal Structures on Plates-60 4-3 Phononic Crystal Structures with Cavities-62 4-4 Application of Local Resonance-65 CHAPTER 5 CONCLUSIONS AND OUTLOOK-86 5-1 Conclusions-86 5-2 Outlook-88 REFERENCES-89 | |
dc.language.iso | en | |
dc.title | 具週期性柱狀表面平板之板波局部共振現象研究 | zh_TW |
dc.title | Phononic Local Resonances of Lamb Waves in a Plate with Periodic Stubbed Surface | en |
dc.type | Thesis | |
dc.date.schoolyear | 96-1 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 劉佩玲(Pei-Ling Liu),陳永裕(Yung-Yu Chen) | |
dc.subject.keyword | 聲子晶體,有限元素法,正方晶格,頻溝現象,板波,駐波模態,局部共振, | zh_TW |
dc.subject.keyword | Phononic crystal,Finite element method,Square lattice,Band gap,Lamb wave,Standing Wave Mode,Local Resonances, | en |
dc.relation.page | 95 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2007-10-23 | |
dc.contributor.author-college | 工學院 | zh_TW |
dc.contributor.author-dept | 應用力學研究所 | zh_TW |
顯示於系所單位: | 應用力學研究所 |
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