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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 舒貽忠(Yi-Chung Shu) | |
dc.contributor.author | Ting-Wei Huang | en |
dc.contributor.author | 黃亭瑋 | zh_TW |
dc.date.accessioned | 2021-06-16T04:02:10Z | - |
dc.date.available | 2020-02-03 | |
dc.date.copyright | 2015-02-03 | |
dc.date.issued | 2014 | |
dc.date.submitted | 2014-10-21 | |
dc.identifier.citation | [1] P. Basset, D. Galayko, A. M. Paracha, F. Marty, A. Dudka and T. Bourouin, “A Batch-fabricated and Electret-free Silicon Electrostatic Vibration Energy Harvester,” Journal of Micromechanics and Microengineering, Vol. 19, 115025, 2009.
[2] B. Yang, C. Lee, W. Xiang, J. Xie, J. H. He, R. K. Kotlanka1, S. P. Low and H. Feng, “Electromagnetic Energy Harvesting from Vibrations of Multiple Frequencies,” Journal of Micromechanics and Microengineering, Vol. 19, 035001, 2009. [3] L. Wang and F. G. Yuan, “Vibration Energy Harvesting by Magnetostrictive Material,” Smart Materials and Structures, Vol. 17, 045009, 2008. [4] S. C. Stanton, A. Erturk, B. P. Mann, and D. J. Inman, “Nonlinear Piezoelectricity in Electroelastic Energy Harvesters: Modeling and Experimental Identification,” Journal of Applied Physics, Vol. 108, 074903, 2010. [5] A. Erturk and D. J. Inman, “A Distributed Parameter Electromechanical Model for Cantilevered Piezoelectric Energy Harvesters,” Journal of Vibration and Acoustics, ASME, Vol. 130, 041002, 2008. [6] D. Guyomar, A. Badel and E. Lefeuvre , “Toward Energy Harvesting Using Active Materials and Conversion Improvement by Nonlinear Processing,” IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, Vol. 52, pp.584–595, 2005. [7] Y. C. Shu, I. C. Lien, “Analysis of Power Output for Piezoelectric Energy Harvesting Systems,” Smart Materials and Structures, Vol. 15, pp.1499-1512, 2006. [8] Y. C. Shu, I. C. Lien, “Efficiency of Energy Conversion for a Piezoelectric Power Harvesting System,” Journal of Micromechanics and Microengineering, Vol. 16, pp. 2429-2438, 2006. [9] Y. C. Shu and I. C. Lien, “An Improved Analysis of the SSHI Interface in Piezoelectric Energy Harvesting,” Smart Materials and Structures, Vol. 16, pp. 2253-2264, 2007. [10] Y. C. Shu, I. C. Lien, W. J. Wu and S. M. Shiu, “Comparisons between Parallel-SSHI and Series-SSHI Interfaces Adopted by Piezoelectric Energy Harvesting Systems,” SPIE's 16th International Symposium on Smart Structures and Materials, San Diego, California, 2009. [11] I. C. Lien and Y. C. Shu, “Array of Piezoelectric Energy Harvesting by Equivalent Impedance Approach,” Smart Materials and Structures, Vol. 21, 082001, 2012. [12] H. C. Lin, P. H. Wu, I. C. Lien and Y. C. Shu, “Analysis of an Array of Piezoelectric Energy Harvesters Connected in Series,” Smart Materials & Structures, Vol. 22, 094026, 2013. [13] 徐士銘,“並聯與串聯電感同步切換開關介面電路應用於壓電振動能量擷取之研究,”台灣大學應用力學所研究所碩士論文, 2010. [14] 連益慶,“陣列式壓電能量擷取系統在多種介面電路下之動態特性分析,”台灣大學應用力學所研究所博士論文, 2012. [15] A. Erturk, J. Hoffmann, and D. J. Inman, “A Piezomagnetoelastic Structure for Broadband Vibration Energy Harvesting,” Applied Physics Letters, Vol. 94, 254102, 2009. [16] G. Sebald, H. Kuwano, D. Guyomar and B. Ducharne, “Experimental Duffing oscillator for broadband piezoelectric energy harvesting,” Smart Materials and Structures, Vol. 20, 102001, 2011. [17] G. Sebald, H. Kuwano, D. Guyomar and B. Ducharne, “Simulation of a Duffing Oscillator for Broadband Piezoelectric Energy Harvesting,” Smart Materials and Structures, Vol. 20, 075022, 2011. [18] 張言誠, “非線性壓電振動子應用於能量擷取之研究,” 台灣大學應用力學所研究所博士論文, 2011. [19] P. Janphuang, R. Lockhart, N. Uffer, D. Briand and N. F. de Rooij, “Vibrational Piezoelectric Energy Harvesters Based on Thinned Bulk PZT Sheets Fabricated at the Wafer Level,” Sensors and Actuators A, Vol. 210, pp1-9, 2014. [20] S. C. Lin and W. J. Wu, “Fabrication of PZT MEMS Energy Harvester Based on Silicon and Stainless-Steel Substrates Utilizing an Aerosol Deposition Method,” Journal of Micromechanics and Microengineering, Vol. 23, 125028, 2013. [21] S. C. Lin and W. J. Wu, “ Piezoelectric Micro Energy Harvesters Based on Stainless-Steel Substrates, ” Smart Materials and Structures, Vol. 22, 045016, 2013. [22] A. H. Nayfeh and P. F. Pai, “Linear and Nonlinear Structural Mechanics,” WILEY, 2004. [23] M. I. Friswell, S. F. Ali, O. Bilgen, S. Adhikari, A. W. Lees and G. Litak, “Non-linear Piezoelectric Vibration Energy Harvesting from a Vertical Cantilever Beam with Tip Mass,” Journal of Intelligent Material Systems and Structures, Vol. 23, pp.1505-1521, 2012. [24] H. F. Tiersten, “Hamilton's Principle for Linear Piezoelectric Media,” Proceedings of the IEEE, Vol. 55, pp.1523-1524, 1967. [25] 舒貽忠, “壓電振動能量擷取導論 課堂筆記,” 台灣大學應用力學研究所. [26] H. Nouiraa, E. Foltete, L. Hirsingera, S. Ballandrasb, “Investigation of the Effects of Air on the Dynamic Behavior of a Small Cantilever Beam,” Journal of Sound and Vibration, Vol. 305, pp.243–260, 2007. [27] P. Malatkar, “Nonlinear Vibrations of Cantilever Beams and Plates,” Virginia Polytechnic Institute and State University Engineering Science and Mechanics Ph.D Thesis, 2003. [28] S. N. Mahmoodi, N. Jalil and M. F. Daqaq, “Modeling, Nonlinear Dynamics, and Identification of a Piezoelectrically Actuated Microcantilever Sensor,” IEEE/ASME Transactions on Mechatronics, Vol. 13, pp.58-65, 2008. [29] S. P. Joshi, “Nonlinear Constitutive Relations for Piezoceramic Materials,” Smart Materials and Structures, Vol. 1, pp.80-83, 1992. [30] A. Erturk and D. J. Inman, “An Experimentally Validated Bimorph Cantilever Model for Piezoelectric Energy Harvesting from Base Excitations,” Smart Materials and Structures, Vol. 18, 025009, 2009. [31] N. G. Elvin, A. A. Elvin and M. Spector, “A Self-powered Mechanical Strain Energy Sensor,” Smart Materials and Structures, Vol. 10, p.293-299, 2000. [32] A. Abdelkefi, A. H. Nayfeh and M. R. Hajj, “Global Nonlinear Distributed-parameter Model of Parametrically Excited Piezoelectric Energy Harvesters,” Nonlinear Dynamics, Vol. 67, pp.1147–1160, 2012. [33] I. Kovacic and M. J. Brennan, “The Duffing Equation: Nonlinear Oscillators and Their Behaviour,” WILEY, 2011. [34] N. W. Hagood, W. H. Chung and A. V. Flotow, “Modelling of Piezoelectric Actuator Dynamics for Active Structural Control,” Journal of Intelligent Material Systems and Structures, Vol. 1, pp.327-354, 1990. [35] R. Patel, S. McWilliam and A. A. Popov1, “Optimization of Piezoelectric Cantilever Energy Harvesters Including Non-linear Effects,” Smart Materials and Structures, Vol. 23, 085002, 2014. [36] L. D. Zavodney and A. H. Nayfeh, “ The Non-Linear Response of a Slender Beam Carrying a Lumped Mass to a Principal Parametric Excitation: Theory and Experiment,” International Journal of Non-Linear Mechanics, Vol. 24, pp.105–125, 1989. [37] E. S. Leland and P. K. Wright, “Resonance Tuning of Piezoelectric Vibration Energy Scavenging Generators Using Compressive Axial Preload,” Smart Materials and Structures, Vol. 15, pp.1413-1420, 2006. [38] T. J. Anderson, A. H. Nayfeh, and B. Balachandran, “Experimental Verification of the Importance of the Nonlinear Curvature in the Response of a Cantilever Beam,” Journal of Vibration and Acoustics, Vol. 118, pp.21-27, 1996. [39] M. Tabaddor, “Influence of Nonlinear Boundary Conditions on the Single-Mode Response of a Cantilever Beam,” International Journal of Solids and Structures, Vol. 37, pp.4915-4931, 2000. | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/55432 | - |
dc.description.abstract | 本研究之目的為探討懸臂樑型式的微型壓電振動子之非線性現象,希望以適當的數學模型,描述其運作特性。首先,本文假設壓電力學的組成律維持線性,以尤拉-柏努利樑理論,考慮質點位移的幾何非線性,結合Rayleigh-Ritz法近似,透過漢米爾頓定理,推導出系統的非線性常微分方程式。
接著,為了分析此非線性常微分方程式的特性,以諧波平衡法,解出系統在穩態下的近似解,以描繪在懸臂樑在不同的環境加速度,不同負載電阻下的頻率響應,解釋微型振動子的非線性現象,並以實際的參數代入做驗證。由近似解的模擬結果推論,系統應屬於硬性的非線性振動子。為了驗證模型的可行性,我們以實際的微型振動子做實驗測試,觀察到硬性的頻率響應,確立推導出之非線性數學模型,定性上與實驗結果符合。由實驗試樣的結果,在不同阻抗下,跌跳點發生的頻率沒有明顯差異,應屬於弱力電耦合的壓電振動子。 為了進一步驗證,以另一組試樣重複試驗,得到的頻率響應卻是性質相反,軟性的非線性現象。然而以不含壓電層之相同基板做測試,結果卻呈現硬性現象,因此推測造成壓電複合樑軟性的原因可能為製程產生之內應力影響,未來可進一部探討內應力之效應。 | zh_TW |
dc.description.abstract | This thesis studies the nonlinear response of piezoelectric MEMS energy harvesters. The analysis is based on several assumptions including linear piezoelectric constitutive relation, Euler-Bernoulli beam theory considering geometric nonlinearity, Rayleigh-Ritz approximations, and Hamiltonian variational principle.
The nonlinear frequency responses under various accelerations and loads are approximated based on Harmonic Balance Method. Through the parameters provided by experiment, the frequency response is found to be of hardening type of nonlinearity. The results are validated by carrying out a series of experiment on micro piezoelectric unimorphs. In addition, the points initiating jump phenomenon almost remain the same under different electric loads, showing the weak electromechanical coupling. On the other hand, the softening frequency response was observed by other samples with different substrate materials and sizes. A further examination on these substrate materials shows the hardening type of nonlinearity if the piezoelectric layers are completely removed. The internal stresses generated during the MEMS fabrication are postulated for explanation and will be verified in the near future. | en |
dc.description.provenance | Made available in DSpace on 2021-06-16T04:02:10Z (GMT). No. of bitstreams: 1 ntu-103-R01543024-1.pdf: 9764600 bytes, checksum: fbb59cca91f0277940dcd038c0211fb0 (MD5) Previous issue date: 2014 | en |
dc.description.tableofcontents | 致謝 i
摘要 iii Abstract iv 目錄 v 第 1 章 導論 1 1.1 研究動機 1 1.2 文獻回顧 2 1.3 論文架構 6 第 2 章 壓電理論 7 2.1 壓電效應 7 2.2線性壓電材料:本構方程式 9 第 3 章 壓電振動系統理論模型建立 12 3.1壓電材料之漢米爾頓原理 12 3.2壓電懸臂樑之數學模型 19 3.3 RAYLEIGH–RITZ法近似 23 第 4 章 參數分析與諧波平衡法 31 4.1參數分析 31 4.2諧波平衡法 32 4.3實際之參數代入 35 第 5 章 實驗架構與測試 47 5.1實驗儀器與架構 47 5.2實驗結果 53 第 6 章 結論與未來展望 68 6.1結論 68 6.2未來展望 69 參考文獻 70 附錄A 材料溫度預應變作用之討論: 75 附錄B 複合材料之中性軸 77 附錄C Simulink求解非線性數值解: 78 | |
dc.language.iso | zh-TW | |
dc.title | 微壓電振動子應用於能量擷取之理論與實驗驗證 | zh_TW |
dc.title | Theory and Experiment of Micro-Piezoelectric Oscillator Applied in Energy Harvesting | en |
dc.type | Thesis | |
dc.date.schoolyear | 103-1 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 吳文中(Wen-Jong Wu),陳瑞琳(Ruey-Lin Chern),邱佑宗(Yu-Tsung Chiu) | |
dc.subject.keyword | 壓電振動能量擷取,微型壓電振動子,非線性振動,懸臂樑,諧波平衡法, | zh_TW |
dc.subject.keyword | piezoelectric energy harvesting,piezoelectric MEMS generator,nonlinear oscillation,cantilever beam,harmonic balance method, | en |
dc.relation.page | 84 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2014-10-21 | |
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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