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功能梯度壓電懸臂梁的彎曲問題畢業(yè)論文-資料下載頁

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【正文】 l Journal of Solids and Structures , 2001, 38 (8): 12951309[40]Wu X. H., Chen C. Q., Shen Y. P., et al. A high order theory for functionally graded piezoelectric shells. International Journal of Solids and Structures, 2002, 39 (20): 53255344[41]Shen H. S. Thermal postbuckling behavior of functionally graded cylindrical shells with temperaturedependent properties. International Journal of Solids and Structures, 2004, 41 (7): 19611974[42]Sofiyev A. H. Dynamic buckling of functionally graded cylindrical thin shells under nonperiodic impulsive loading. ACTA Mechanica, 2003, 165 (34): 151163[43]Shen H. S. Postbuckling analysis of axially, loaded functionally graded cylindrical panels in thermal environments. International Journal of Solids and Structures, 2002, 39 (24): 59916010[44]Yang J., Kitipornchai S., Liew K. M. Nonlinear analysis of the thermoelectro mechanical behaviour of shear deformable FGM plates with piezoelectric actuators. International Journal for Numerical Methods in Engineering, 2004, 59 (12): 16051632[45]Chen W. Q., Bian Z. G., Lv C. F., Ding H. J. 3D free vibration analysis of a functionally graded piezoelectric hollow cylinder filled with pressible fluid. International Journal of Solids and Structures, 2004, 41(34): 947–964[46]Sankar . An elasticity solution for functionally graded beams. Composites Science and Technology, 2001, 61(5): 689696[47]Sankar, ., Taeng J. T. Thermal stresses in functionally graded beams. AIAA Journal, 2002, 40(6): 12281232[48]Venkataraman S., Sankar B. V. Analysis of Sandwich Beams with Functionally Graded Core, AIAA, 2001, 1: 752759[49]Venkataraman S., Sankar B. V. Elasticity solution for stresses in a sandwich beam with functionally graded core. AIAA Journal , 2003, 41(12): 25012505[50]Zhu H., Sankar B. V. A bined Fourier seriesGalerkin method for the analysis of functionally graded beams. Journal of Applied Mechanics, ASME, 2004, 71(3): 421424[51]Shi Z. F. General solution of a density functionally gradient piezoelectric cantilever and its applications. Smart Material and Structures, 2002, 11(1): 122129[52]Shi Z. F., Chen Y. Functionally graded piezoelectric cantilever beam under load. Archive of Applied Mechanics, 2004, 74(34): 237–247附 錄由邊界條件(10),(11)及(9)的第一式,求得A=Pbk1H1h2H1(h2), B=q2k1H1h2H1(h2)C1=Pbλ330k1H0h2H0(h2) C4=q2λ330k1H0h2H0(h2)C7=ak1H1h2H0h2H1h2H0(h2),C8=qk1H0h2H0h2H1h2H1h2H1h2H0h2+ h2H1h2H0h2H1h2H0(h2)C10=Pbk1H1h2H0h2H1h2H0(h2),其中k1=H1h2H1(h2)H0h2H0(h2)+H0h2H0(h2)H1h2H1(h2)+H1h2H0h2H1h2H0(h2)h由邊界條件(12)和(13)得到C0=0, C3=0, C2=Aλ330, C5=Bλ330C6=d150λ330+d310λ110λ110G0h2G0(h2)C4T1h2T1h2+C5T0h2T0(h2)d1502λ110C7C9=d150λ330+d310λ110λ110G0h2G0(h2)C1T1h2T1(h2)+C2T0h2T0(h2)d150λ110C10,C12=d1502C4λ330T1h2+2C5λ330T0h2+C7G0(h2)2λ110C4d310T1h2+C5d310T0h2+C6G0(h2)由邊界條件(9),求得C13=A1H1h2H1(h2)A2H0h2H0(h2)Mbk0H0h2H0(h2)λ330k2,C14=A1H2h2H2(h2)+A2H1h2H1(h2)+Mbk0H1h2H1(h2)λ330k2,其中A1=a12C4λ330H11h2H11(h2)+2C5λ330H01h2H01(h2)+C8h+a22C4λ330N1h2N1(h2)+2C5λ330N0h2N0(h2)+C7G01h2G01(h2)+2a3C4d310N1h2N1(h2)+C5d310N0h2N0(h2)+C6G01h2G01(h2)+s130λ33013C4λ330H3h2H3(h2)+C5λ330H2h2H2(h2)d330λ33013C4d310H3h2H3h2+C5d310H2h2H2(h2)+C12d310H0h2H0(h2),A2=a12C4λ330H111h2H111(h2)+2C5λ330H011h2H011(h2)+C7h312+a22C4λ330N11h2N11(h2)+2C5λ330N10h2N10(h2)+C7G011h2G011h2+2a3C4d310N11h2N11(h2)+C5d310N01h2N01(h2)+C6G011h2G011(h2)+s130λ33013C4λ330H4h2H4(h2)+C5λ330H3h2H3(h2)d330λ33013C4d310H4h2H4(h2)+C5d310H3h2H3(h2)+C12d310H1h2H1(h2),k2=H1h2H1(h2)2H2h2H2(h2)H0h2H0(h2)由邊界條件(14),求得:a=C13l+C1l22k0+C4l33k0 ,d=s330s130a1k0+d330a4k02C4λ330Y10+2C5λ330Y00+C7G10+C8G00k0(s130a2+d330a5)2C4λ330T10+2C5λ330T00+C7G0(0)+2(s130a3+d330a6)C4d310T10+C5d310T00+C6G0(0)C13l22C1l33k0C4l44k0e=l33k0C5l22k0C2+ls4402C4λ330T10+2C5λ330T00+C7G0(0)+2d150C4d310T10+C5d310T0+C6G0(0)C14+s440C1λ330T10+C2λ330T00+C10G0(0)+d150C1d310T10+C2d310T00+C9G0(0)致 謝本文在陳老師的多次指導(dǎo)下終于完稿,感激之情,溢于言表。在論文寫作過程中,得到了老師和許多同學(xué)的指導(dǎo)和幫助,陳老師嚴(yán)謹(jǐn)?shù)闹螌W(xué)態(tài)度、淵博的專業(yè)知識、崇高的職業(yè)品德、無私的奉獻(xiàn)精神令我很感動,我從老師身上學(xué)到了做學(xué)問的態(tài)度、方法與知識,但更重要的是學(xué)到了做人的道理與做任何事情都應(yīng)有的認(rèn)真、嚴(yán)謹(jǐn)?shù)膽B(tài)度。這將使我受用終身!在這里我要對指導(dǎo)教師表達(dá)衷心的敬意與謝意。在此過程中,有老師和同學(xué)幫我搜集、查閱資料,校對文章,我不勝感激!同時對所有關(guān)心過我的領(lǐng)導(dǎo)、老師、同學(xué)表達(dá)我由衷的敬意!最后衷心感謝在百忙之中抽出時間參加答辯的各位專家、教授,謝謝你們! 畢業(yè)論文(設(shè)計)原創(chuàng)性聲明本人所呈交的畢業(yè)論文(設(shè)計)是我在導(dǎo)師的指導(dǎo)下進(jìn)行的研究工作及取得的研究成果。據(jù)我所知,除文中已經(jīng)注明引用的內(nèi)容外,本論文(設(shè)計)不包含其他個人已經(jīng)發(fā)表或撰寫過的研究成果。對本論文(設(shè)計)的研究做出重要貢獻(xiàn)的個人和集體,均已在文中作了明確說明并表示謝意。 作者簽名: 日期: 畢業(yè)論文(設(shè)計)授權(quán)使用說明本論文(設(shè)計)作者完全了解**學(xué)院有關(guān)保留、使用畢業(yè)論文(設(shè)計)的規(guī)定,學(xué)校有權(quán)保留論文(設(shè)計)并向相關(guān)部門送交論文(設(shè)計)的電子版和紙質(zhì)版。有權(quán)將論文(設(shè)計)用于非贏利目的的少量復(fù)制并允許論文(設(shè)計)進(jìn)入學(xué)校圖書館被查閱。學(xué)??梢怨颊撐模ㄔO(shè)計)的全部或部分內(nèi)容。保密的論文(設(shè)計)在解密后適用本規(guī)定。 作者簽名: 指導(dǎo)教師簽名: 日期: 日期: 注 意 事 項(論文)的內(nèi)容包括:1)封面(按教務(wù)處制定的標(biāo)準(zhǔn)封面格式制作)2)原創(chuàng)性聲明3)中文摘要(300字左右)、關(guān)鍵詞4)外文摘要、關(guān)鍵詞 5)目次頁(附件不統(tǒng)一編入)6)論文主體部分:引言(或緒論)、正文、結(jié)論7)參考文獻(xiàn)8)致謝9)附錄(對論文支持必要時):理工類設(shè)計(論文)正文字?jǐn)?shù)不少于1萬字(不包括圖紙、程序清單等)。:任務(wù)書、開題報告、外文譯文、譯文原文(復(fù)印件)。、圖表要求:1)文字通順,語言流暢,書寫字跡工整,打印字體及大小符合要求,無錯別字,不準(zhǔn)請他人代寫2)工程設(shè)計類題目的圖紙,要求部分用尺規(guī)繪制,部分用計算機(jī)繪制,所有圖紙應(yīng)符合國家技術(shù)標(biāo)準(zhǔn)規(guī)范。圖表整潔,布局合理,文字注釋必須使用工程字書寫,不準(zhǔn)用徒手畫3)畢業(yè)論文須用A4單面打印,論文50頁以上的雙面打印4)圖表應(yīng)繪制于無格子的頁面上5)軟件工程類課題應(yīng)有程序清單,并提供電子文檔1)設(shè)計(論文)2)附件:按照任務(wù)書、開題報告、外文譯文、譯文原文(復(fù)印件)次序裝訂3)其它 第35頁 共3
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