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研究生: 施建宇
Shi, Jian-yu
論文名稱: 壓電複合材料板的振動探討及其應用在超音波馬達之初步研究
The Vibration Analysis of The Piezoelectric Composite Plate and The Basic Research of The Ultrasonic Motors
指導教授: 陳東陽
chen, tungyang
學位類別: 碩士
Master
系所名稱: 工學院 - 土木工程學系
Department of Civil Engineering
論文出版年: 2003
畢業學年度: 91
語文別: 中文
論文頁數: 129
中文關鍵詞: 超音波馬達壓電
外文關鍵詞: ultrasonic motors, piezoelectric
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  • 本文主要目的在探討壓電複合材料板的振動問題。振動問題一直是結構力學研究的課題之一,本文針對金屬-壓電型雙膜片圓盤致動器的振動來探討,首先以Kirchkoff-Love板的假設理論出發,最後找出系統的控制方程式,並對兩種不同的邊界條件來作討論。壓電複合材料板可以應用在許多方面,其中超音波馬達即為此一複合材料的應用,本文引用相關的文獻資料,介紹超音波馬達的種類及工作原理,並經由理論及有限元素分析來作討論。

    This article discuss with the vibration of the piezoelectric composite plates and the basic analysis of the ultrasonic motors.The major section is about the methematical modal of the metal-piezo disk transducer.Finally,we use the F.E.M to analize the ultrasonic motors and introduce the kinds and history of the ultrasonic motors.

    摘要……………………………………………………………..………Ⅰ 誌謝……………………………………………………………..………Ⅱ 目錄……………………………………………………………..………Ⅲ 表目錄…………………………………………………………..………Ⅵ 圖目錄…………………………………………………………..………Ⅶ 第一章 緒論………………………………………………….………..1 1.1研究動機.………………………………..………………….……1 1.2文獻回顧……...…………………………………………….……3 1.3論文內容簡介.…………………………..………………….……5 第二章 壓電陶瓷的特性與理論………………......……………....6 2.1壓電效應………...………………………………………….……6 2.2壓電效應的參數………...……………………………….………8 2.3壓電方程式…………………...………………………….……...10 第三章 金屬-壓電型雙膜片圓盤致動器的振動探討….….…16 3.1雙膜片致動器………………..….………….…………………..16 3.2數學模型………………………………………………………...17 3.2.1數學模型的建立………………..……………………………..17 3.2.2電位能的假設…………………..……………………………..18 3.3控制方程式………………………………………………...……20 3.4參考面的位置與材料關係式………………………………..….25 3.5電位能表示式與邊界條件的討論………………………..…….36 第四章 超音波馬達之背景技術及相關文獻…………………..45 4.1超音波馬達簡介…………..…………………………………….45 4.2超音波馬達的種類介紹………………..……………………….46 4.2.1行波型超音波馬達…………………………..……………..46 4.2.2駐波型超音波馬達…………………………..……………..48 4.2.3混合型超音波馬達…………………………..……………..53 4.3行波型超音波馬達的理論…………………………..………….55 4.3.1波動現象…………..………………………………………..55 4.3.2波動方程式………..………………………………………..56 4.3.3 結語………………………………………………………..59 第五章 超音波馬達的動態模擬..………………………………60 5.1線性行波型超音波馬達的設計………………………………..60 5.2有限元素法分析………………………………………………...62 5.2.1以ANSYS分析超音波馬達的初步探討...………………..62 5.2.2自然振動頻率分析…………………………………………68 5.2.3穩態分析……………………………………………………70 5.3理論與有限元素分析結果……………………………………..72 第六章 結論與未來研究方向…………………………………….77 參考文獻………………………………………………………………..78 附錄A…………………………………………………………………...84 附錄B…………………………………………………………………...98 附錄C………………………………………………………………….108 附錄D………………………………………………………………….121

    1. C. B. Sawyer, (1931) The use of Rochelle salt crystals for electrical
    reproducers and microphones. Proc. Inst. Radio Eng. 19 (11), 2020-
    2029.

    2. H. Keller, (1951) Piezoelectric crystals in flexural vibration. Wirele-
    ss Eng., 179-186.

    3. E. G. Thurston, (1953) The theoretical sensitivity of three types of r-
    ectangular bimorph transducers. J. Acoust. Soc. Am. 25, 870-872.

    4. D. H. Keuning, (1971) Approximate equations for the flexure of thin,
    incomplete, piezoelectric bimorphs. J. Eng. Math. 5, 307-319.

    5. J. C. Burfoot and G. W. Taylor, (1974) Polar Dielectrics and Their A-
    pplications. University of California Press, Berkeley, CA, p. 392.

    6. H. R. Gallantree and R. M. Quilliam, (1976) Polarized poly (vinylid-
    ene fluoride) - Its application to pyroelectric and piezoelectric devic-
    es. Marconi Rev. (4), 189-200.

    7. M. Toda, (1979) High field dielectric loss of and the electrom-
    echanical conversion efficiency of a Fan. Ferroelectrics 22, 9-
    19-923.

    8. R. G. Kepler and R. A. Anderson, (1980) Piezoelectricity in polymers.
    CRC Critical Revs. Solid State Mater. Sci., (Nov.), 399-447.

    9. M. Royer, J. O. Holmen, M. A. Wurm, O. S. Aadland and M.Glenn,
    (1983) ZnO on Si integrated acoustic sensor. Sensors and Actuators
    4, 357-362.

    10. D. Ricketts, (1985) Transverse vibrations of composite piezoelectric
    polymer plates. J. Acoust. Soc. Am. 77, 1939-1945.

    11. T. M. Tritt, D. J. Gillespie, G. N. Kamm and A. C. Ehrlich, (1987) R-
    esponse of piezoelectric bimorphs as a function of temperature. Rev. Sci.Instrum. 58, 780-783.

    12. H. Shimizu, S. Sugawara, T. Takada and S. Ishibashi, (1988) Piezo-
    electrically driving device. U.S. Patent No. 4 742 260.

    13. F. R. Blom, D. J. Yntema, F. C. M. van de Pol, M. Elwenspoek, J. H.
    J. Fluitman and J. A. Popma, (1990) Thinfilm ZnO as micromechan-
    ical actuator at low frequencies. Sensors and Actuators, A21-A23, 2-
    26 -228.

    14. E. F. Crawley and E. H. Anderson, (1990) Detailed models of piezo-
    electric actuation of beam. J. Intelligent Mater. Struct. 1, 4-25.

    15. P. C. Y. Lee and J. D. Yu, (1998) Governing equations for a piezoele-
    ctric plate with graded properties across the thickness. IEEE Transa- ctions on Ultrasonics, Ferroelectrics, and Frequency Control, 45, No.
    1, 236-250.

    16. P. C. Y. Lee, J. D. Yu, X. Li and W. H. Shih (1999) Piezoelectric ce-
    ramic disks with thickness-graded material properties. IEEE Transa-
    ctions on Ultrasonics, Ferroelectrics, and Frequency Co- ntrol, 46,
    No. 1, 205-215.

    17. S. H. Chang and Y. C. Tung, (1999) Electro-elastic characteristics of
    asymmetric rectangular piezoelectric laminae. 46, No. 4, 950-960.

    18. T. Sashida and T. Kenjo, (1993) An Introduction to Ultrasonic Mot-
    ors. Clarendon Press.

    19. S. Ueha and Y. Tomikawa, (1993) Ultrasonic Motors: Theory and A-
    pplications, Clarendon Press.

    20. K. Uchino, (1998) Piezoelectric ultrasonic motors: overview, Smart
    Mater. Struct. 7, 273-285.

    21. J. Wallaschek, (1995) Piezoelectric ultrasonic motors. Journal of Int-
    elligent Material Systems and Structures. 6, 71-83.

    22. 吳朗,(1994) 電子陶瓷-壓電,全欣科技圖書。
    23. 許溢适 編譯,(1995) 超音波電動機基礎,文笙書局。
    24. 楊明昌,(1999) 超音波馬達之設計與分析-軸推式,國立清華大學工程與系統科學研究所碩士論文。

    25. S. I. Rudnitskii, V. M. Sharapov and N. A. Shul’ga, (1990) Vibrations
    of a bimorphic disk transducer of the metal-piezoceramic type. Instit-
    ute of Mechanics, Academy of Sciences of the Ukranian SSR, Kiev.
    Translated from Prikladnaya Mekhanika, 26, No. 10, 64-72.

    26. S. I. Rudnitskii, A. M. Bolkisev and N. A. Shul’ga, (1986) Validity of
    applied theories of the vibration of piezoceramic shells. Prikl.Mekh.
    22, No. 9, 117-120.

    27. R. D. Mindlin, (1972) High frequency vibrations of piezoelectric cry-
    stal plates. Int. J. Solids Struct. 8, No. 7, 895-906.

    28. E. I. Grigolyuk, (1956) Selection of an initial surface in the theory of
    nonuniform shells. Izv. Akad. Nauk SSSR, Otd. Tekh. Nauk, No. 8,
    120-121.

    29. V. A. Boriseiko, V. T. Grinchenko and A. F. Ulitko, (1976) Electroela-
    stic relations for piezoceramic shells of revolution. Prikl. Mekh. 12,
    No. 2, 26-33.

    30. T. Senjyu, K. Uezato and H. Miyazoto, (1995) Adjustable speed con-
    trol of ultrasonic motors by adaptive control. IEEE Transactions on
    Power Electronics. 10, No. 5, 532-538.
    31. A. Kumada, (1985) A piezoelectric ultrasonic motor. Japanese Journ-
    al of Applied Physics. 24, Suppl. 24-2, 739-741.

    32. J. Toyoda and K. Murano, (1991) A small-size linear motor. Japanese
    Journal of Applied Physics, 30, No. 9B, 2274-2276.

    33. Y. Tomikawa, T. Takano and H. Umeda, (1992) Thin rotary and linear
    ultrasonic motors using a double-mode piezoelectric vibrator of the fi-
    rst longitudinal and second bending modes. Japanese Journal of App-
    lied Physics, 31, 3073-3076.

    34. P. A. Juang and H. J. Hardtke, (2001) A new disc-type ultrasonic mot-
    or. Sensors and Actuators A, 94, 102-111.

    35. V. Z. Parton and B. A. Kudryavtsev, (1988) Electromagnetoelasticity.
    Inst. Chem. Eng. Moscow USSR, 87-95.

    36. N. T. Adelman and Y. Stavsky, (1974) Axisymmetric vibrations of ra-
    dially polarized piezoelectric ceramic cylinders. Journal of Sound and
    Vibration, 38 (2), 245-254.

    37. A. Erdelyi (Editor), (1953) Higher Transcendental Functions. New Y-
    ork: McGraw-Hill Book Company, Inc. see Volume II, p.40.

    38. N. T. Adelman and Y. Stavsky, (1975) Vibrations of radially polarized

    composite piezoceramic cylinders and disks. Journal of Sound and vi-

    bration, 43 (1), 37-44.

    39. J. G. Smits, S. I. Dalke and T. K. Cooney, (1991) The constituent equ-

    ations of piezoelectric bimorphs. Sensors and Actuators A, 28, 41-61.

    40. 黃世勳, (2001) 直線式超音波馬達之研究, 國立台灣大學機械工程學研究所碩士論文。
    41. 周忠誠, (1998) 壓電元件與複合壓電結構之動態特性分析與實驗量測, 國立台灣大學機械工程學研究所博士論文。
    42. 夸克工作室, (2001) ANSYS教學範例, 知城圖書。

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