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研究生:王鵬凱
研究生(外文):Peng-Kai Wang
論文名稱:壓電複合樑之諧振特性分析
論文名稱(外文):Transverse Vibration Analysis for Piezoelectric Composite Beams in Resonance
指導教授:黃吉宏黃吉宏引用關係
學位類別:碩士
校院名稱:清雲科技大學
系所名稱:機械工程所
學門:工程學門
學類:機械工程學類
論文種類:學術論文
論文出版年:2012
畢業學年度:100
語文別:中文
論文頁數:61
中文關鍵詞:側向振動伸展震動壓電陶瓷壓電樑
外文關鍵詞:transverse vibrationextensional vibrationpiezoceramicpiezoelectric composite beams
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  • 被引用被引用:1
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本文主要藉由一維古典樑理論與壓電力學理論,以求出雙層複合壓電樑在單邊固定邊界條件下之伸展及側向振動特性。主要利用應變與位移關係式、電場與電位關係式及相關組成關係式,推導出該振動模式下之統御方程式,最後運用拉氏轉換得到共振頻率之特徵方程式。為了驗證理論計算之正確性,本文利用有限元素法(FEM)從事數值計算,以獲得其共振頻率與振型,並將兩者結果作一系列之比較。本文也針對多種不同長寬比及不同厚度比之雙層複合壓電樑進行理論預測,以探討伸展及側向模態振頻與不同幾何變化間之關係。

The dissertation employs the one-dimensional classical beam theory and piezoelectric mechanics theory to investigate the extensional vibration and transverse vibration for bilayered piezoelectric composite beams with cantilever boundary conditions. In this dissertation, the governing equations of vibration modes were carefully derived by strain-displacement relation and the electric field-potential relation. Then the Laplace transform were used to obtain the characteristic function of resonant frequencies. The numerical calculations obtained by finite element method (FEM) is carried out to validate the theoretical analysis and good agreements are obtained. With reference to the different thickness ratios and aspect ratios, the vibration characteristics of cantilever piezoelectric composite beams are discussed in details.

摘 要 i
Abstract ii
誌謝 iii
目錄 iv
表目錄 v
圖目錄 vii
符號說明 ix
第一章 緒論 1
1.1 研究動機 1
1.2 文獻回顧 2
1.3 內容簡介 5
第二章 壓電材料特性與理論 6
2.1 壓電材料特性 6
2.2 壓電理論 7
第三章 複合壓電樑之振動理論推導 13
3.1 複合壓電樑伸展振動之理論推導 14
3.2 複合壓電樑側向振動之理論推導 17
第四章 理論分析結果與數值驗證 21
4.1 試片規格 21
4.2 數值分析 22
4.3 理論、數值之結果與討論 23
第五章 結論 25
5.1 本文主要成果 25
5.2 尚待努力方向 25
參考文獻 26
簡 歷 61


[1]吳建鋒,「壓電感測器及致動器之分析」,私立逢甲大學,機械工程研究所碩士論文,民國八十九年。
[2]林憲陽,「壓電陶瓷負荷曾板動態特性之數值分析與實驗量測」,國立台灣大學,機械工程研究所博士論文,民國九十一年。
[3]Adelman, N. T. and Stavsky, Y., “Axisymmetric Vibration of Radially Polarized Piezoelectric Ceramic Cylinders”, Journal of Sound and Vibration, 38(2), pp. 245-254, 1975.
[4]Adelman, N.T. and Stavsky, Y., “Vibration of Radially Polarized Composite PiezoelectricCylinders and Disks”, Journal of Sound and Vibration, 43(1), pp. 37-44, 1975.
[5]Araujo, A. L., Mota Soares C. M., Herskovits, J. and Pedersen, P., “Development of a Finite Element Model for the Identification of Mechanical and Piezoelectric Properties Through Gradient Optimization and Experimental Vibration Data”, Composite Structures, Vol. 58, pp. 307-318, 2002.
[6]Bailey, T., James, T. and Hubbard, J., “Distributed Piezoelectric Polymer Active Vibration Control of a Cantilever Beam”, AIAA Journal, 8(5), pp. 605-611, 1985.
[7]Ballhause, D., D’Ottavio, M., Kröplin, B. and Carrera, E., “A Unified Formulation to Assess Multilayered Theories for Piezoelectric Plates”, Computers and Structures, 83, pp. 1217-1235, 2005.
[8]Bhargava, A., Chaudhry, Z., Liang, C. and Rogers, C. A., “Experimental Verification of Optimal Actuator Location and Configuration Based on Actuator Power Factor”, Journal of Intelligent Material systems and Structures, 6(3), pp. 411-418, 1995.
[9]Chang, S. H. and Tung, Y. C., “Electro-Elastic Characteristics of Asymmetric Rectangular Piezoelectric Laminae”, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, Vol. 46, No. 4, pp. 950-960, 1999.
[10]Chang, S. H., Du, B. C. and Lin, J. F., “Electro-Elastic Modeling of Annular Piezoceramic Actuating Disk Transducers”, Journal of Intelligent Materials Systems and Structures, 10(5), pp. 410-421, 2000.
[11]Chee, C. Y. K., Yong, L. and Steven, G. P., “A Mixed Model for Composite Beams with Piezoelectric Actuators and Sensors”, Smart Materials and Structures, Vol. 8, pp. 417-432, 1999.
[12]Chou, C. C. and Chang, S. H., “Electromechanical Analysis of a Symmetric Piezoelectric/Elastic Laminate Structure: Theory and Experiment”, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, Vol. 46, No. 2, pp. 441-451, 1999.
[13]Crawley, E. F. and de Luis, J., “Use of Piezoelectric Actuators as Elements of Intelligent Structures”, AIAA Journal, 25(10), pp. 1373-1385, 1987.
[14]Cuo, N., Casley, P. and Hitchings, D., “The Finite Element Analysis of the Vibration Characteristics of Piezoelectric Discs”, Journal of Sound and Vibration, 159(1), pp. 115-138, 1992.
[15]D’Ottavio, M., Ballhause, D., Kroplin, B. and Carrera, E., “Closed-form Solutions for Free-vibration Problem of Multilayered Piezoelectric Shells”, Computers and Structures, 84, pp. 1506-1518, 2006.
[16]Eer Nisse, E. P., “Variational Method for Electroelastic Vibration Analysis”, IEEE Transaction on Sonic and Ultrasonic, SU-14(4), pp. 153-160, 1967.
[17]Hernandes, J. A., Almeida, S. F. M. and Nabarrete, A., “Stiffening Effects on the Free Vibration Behavior of composite Plates with PZT Actuators” , Composite Structures, 49(1), pp. 55-63, 2000.
[18]Hernandes, J. A., Almeida, S. F. M. and Nabarrete, A., “Stiffening Effects on the Free Vibration Behavior of Plates with PZT Actuators”, Composite Structure, 49(1), pp. 55-63, 2000.
[19]Holland, R., “Contour Extensional Resonant Properties of the Rectangular Piezoelectric Plates”, IEEE Transaction on Sonic and Ultrasonic, SU-15(2), pp. 97-105, 1968(a).
[20]Holland, R., “Resonant Properties of Piezoelectric Ceramics Rectangular Parallelepipeds”, Journal of the Acoustical Society of America, 43(5), pp. 988-997, 1968(b).
[21]Hong, C. C. and Jane, K. C., “Shear Deformation in Thermal Vibration Analysis of Laminated Platesby the GDQ Method”, International Journal of Mechanical Sciences, 45, pp. 21-36, 2003.
[22]Huang, C. H., “Resonant Vibration Investigations for Piezoceramic Disks and Annuli by Using the Equivalent Constant Method”, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, vol. 52, no. 8, pp. 1217-1228, Aug, 2005.
[23]Huang, C. H. and Chen, Yi-Yu, “Transverse Vibration Analysis for Piezoceramic Rectangular Plates Using Ritz’s Method with Equivalent Constants”, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, vol. 53, no. 2, Feb, 2006.
[24]Kharouf, N. and Heyliger, P. R., “Axisymmetric Free Vibration Homogeneous and Laminated Piezoelectric Cylinders”, Journal of Sound and Vibration, 174(4), pp. 539-561, 1994.
[25]Krommer, M., “On the Correction of the Bernoulli-Euler Beam for Smart Piezoelectric Beams”, Smart Materials and Structures, Vol. 10, pp. 668-680, 2001.
[26]Kunkel, H. A., Locke, S. and Pikeroen, B., “Finite Element Analysis of the Vibration Modes in Piezoelectric Ceramics Disks”, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 37(4), pp. 316-328, 1990.
[27]Lee, C. K., “Theory of Laminated Piezoelectric Plactes for the Design of Distributed Sensors/Actuators, Part I: Governing Equations and Reciprocal Relationships”, Journal of Acoustic Society of America, 87(3), pp. 1144-1158, 1990.
[28]Lee, P. C. Y., Huang, R., Li, X. and Shih, W. H., “Vibration and Static Responses of Asymmetric Bimorph Disks of Piezoelectric Ceramics”, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, vol. 47, pp. 706-715, May, 2000.
[29]Lee, U. and Kim, J., “Dynamics of Elastic-piezoelectric Two-layer Beams using Spectral Element Method”, International Journal of Solids and Structures, Vol. 37, pp. 4403-4417, 2000.
[30]Liew, K. M. and Lim, M. K., “Transverse Vibration of Trapezoidal Plates of Variable Thickness: Symmetric Trapezoids”, Journal of Sound and Vibration, 165, pp. 45-67, 1993.
[31]Liew, K. M. and Lim, M. K., “Transverse Vibration of Trapezoidal Plates of Variable Thickness: Unsymmetric Trapezoids”, Journal of Sound and Vibration, 177, pp. 479-501, 1994.
[32]Lin, H. Y., Huang, J. H. and Ma, C. C., “Vibration Analysis of Piezoelectric Materials by Optical Methods”, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, Vol. 49, No. 8, pp. 139-1149, 2002.
[33]Malekzadeh, P., “Nonlinear Free Vibration of Tapered Mindlin Plates with Edges Elastically Restrained Against Rotation Usiog DQM”, Thin-Walled Structures, 46, pp. 11-26, 2008.
[34]Reddy, J. N., “Mechanics of Laminated Composite Plates and Shells Theory and Analysis”, CRC PRESS, 2004.
[35]Rogacheva, N. N., Chung Cheng Chou, Shuo Hung Chang, “Electromechanical Analysis of a Symmetric Piezoelectric/Elastic Laminate Structure: Theory and Experiment”, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, vol. 45, pp. 285-294, Mar, 1998.
[36]Shuyu, L., “Analysis of the Equivalent Circuit of Piezoelectric Ceramic Disk Resonators in Coupled Vibration”, Journal of Sound and Vibration, vol. 231, no. 2, pp. 277-290, 2000.
[37]Shuyu, L., “Thickness Shearing Vibration of the Tangentially Polarized Piezoelectric Ceramic Thin Circular Ring”, Journal of Acoustic Aociety of America, vol. 107, no. 5, pp. 2487-2492, 2000.
[38]Su, G. H. and Xiang, Y., “A Non-discrete Approach for Analysis of Plates with Multiple Subdomains”, Engineering Structures, 24, pp. 563-575, 2002.
[39]Wang, J., Liew, K. M., Tan, M. J. and Rajendran, S., “Analysis of Rectangular Laminated Composite Plates Via FSDT Meshless Method”, International Journal of Mechanical Sciences, 44, pp. 1275-1293, 2002.
[40]Werner Soedel, “Vibration of Shells and Plantes”, third edition, Marcel Dekker, 2004.
[41]Xing, Y. and Liu, Bo., “Characteristic Equations and Closed-Form Solutions For Free Vibrations of Rectangular Mindlin Plates”, Acta Mechanica Solida Sinica, vol. 22, no. 2, pp. 125-136, Apr, 2009.
[42]Yao Linquan, Lu Li, Wang Zhihong and Zhu Weiguang, “Exact Solution of Multilayered Piezoelectric Diaphragms”, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, vol. 50, no. 10, pp. 1262-1271, Oct, 2003.

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