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研究生:蘇志榮
論文名稱:複合材料疊層板組合結構振動特性之探討
論文名稱(外文):Studies of the Vibration of Laminated Composite Plate Assembly
指導教授:張銘永
學位類別:碩士
校院名稱:國立中興大學
系所名稱:機械工程學系
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:2003
畢業學年度:92
語文別:中文
論文頁數:154
中文關鍵詞:組合板振動複合材料
外文關鍵詞:plate assemblyvibrationcomposite
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本文目的主要是建立一個複合材料疊層板組合結構的有限元素分析模型,其中,主板與次板可以任意角度相連接,第一部份:主要探討組合板在不同夾角的情況下,此組合板結構的振動特性,並與有限元素套裝軟體(I-DEAS)分析的結果和模態實驗的結果來互相驗證比較,以確保複材疊層組合板模型的準確性。第二部分:因為邊界平移時所產生的加速度效應作用在組合板上時,用Newmark- method和模態法來求組合板上的暫態位移,並和暫態位移實驗的結果來互相對照。之後,將Newmark- method和模態法模擬複材組合板暫態位移的結果並互相驗證後,用Newmark- method來模擬單層複材組合板的暫態位移,比較單層複材組合板在不同纖維角以及不同夾角時暫態位移的性質。
The objective of this thesis is to develop a finite element model of laminated composite plate assembly systems. The plate assembly systems consist of two plates, the main plate and the secondary plate that are jointed at an angle of an arbitrary value. First, the vibration properties of the plate assembly systems are studied. The results are compared with those obtained from the commercial software, I-DEAS, and from experiments, to ensure the validity of proposed model. Next, the transient displacements of the plate assembly induced by the acceleration of the boundary translation are obtained. The transient displacements are analyzed by using both Newmark- and Modal methods. The results are compared with these of the experiments. Finally, the transient displacements of single-layered composite plates are studied for different fiber angles and jointed angles of plates.
第一章 緒論
1.1 前言
1.2 文獻回顧
1.3 研究目的與內容
第二章 含加速度效應之複材組合板之理論基礎與推導
2.1 單層複材板之本構方程式
2.2 有限元素法
2.3 含加速度效應之組合板運動方程式
2.4 主板與次板相鄰元素之轉置矩陣
2.5 暫態特性的分析
第三章 組合板之振動特性
3.1 等向性組合板之自然頻率與模態圖
3.1.1 夾角30度之等向性組合板
3.1.2 夾角45度之等向性組合板
3.1.3 夾角60度之等向性組合板
3.1.4 夾角90度之等向性組合板
3.1.5 夾角120度之等向性組合板
3.2 複材疊層板之自然頻率與模態圖
3.2.1 夾角30度之單層複材組合板
3.2.2 夾角45度之單層複材組合板
3.2.3 夾角60度之單層複材組合板
3.2.4 夾角90度之單層複材組合板
3.2.5 夾角120度之單層複材組合板
第四章 模態實驗與暫態位移實驗
4.1 模態實驗
4.1.1 實驗目的
4.1.2 實驗設備
4.1.3 實驗步驟
4.2 暫態位移量測實驗
4.2.1 實驗目的
4.2.2 實驗設備
4.2.3 實驗步驟
4.3 複合材料的應用
4.3.1 多層複材疊層板之暫態位移
4.3.2 單層複材板之暫態位移
第五章 結論與展望
5.1 結論
5.2 未來展望
1. K. T. S. Iyengar and K. S. Jagadish, 1964, “Vibration of Orthotropic Plates.” Appl. Sci. Res. 13, 37-42.
2. S. S. Dey and N. Balasubramaniam, 1984, “Dynamic Response of Orthotropic Curved Bridge Decks due to Moving Loads.” Comp. Struct. 18, 27-32.
3. T. Balendra and N. E. Shanmugam, 1985, “Free Vibration of Plated Structure by Grillage Method.” J. Sound Vib. 99,333-350.
4. C. Omidvaran, 1971, “Free Vibration of Grid Stiffened Plates.” J. Sound Vib. 19, 463-472.
5. D. J. Mead, D. C. Zhu and N. S. Bardell, 1988, “Free Vibration of An Orthogonally Stiffened Flat Plate.” J. Sound Vib. 127, 19-48.
6. E. H. Dill and K. S. Pister, 1958, “Vibration of Rectangular Plates and Plate System.” Proc. 3rd U.S. Natl. Congr. Applied Mechanics pp. 123-132.
7. S. M. Dickinson, 1969, “The Flexural Vibration of Rectangular Orthotropic Plates.” J. Appl. Mech. 36, 101-106.
8. S. M. Dickinson, and G. B. Warburton, 1967, “Natural Frequencies of Plate Systems Using the Edge Effect Method.” J. Mech. Engng. Sci. 9, 318-324.
9. A. N. Bercin, and R. S. Langley, 1996, “Application of The Dynamic Stiffness Technique to The In-plane Vibrations of Plate Structures.” Computers & Structures. Vol. 59, Issue 5, pp. 869-875.
10. A. N. Bercin, 1995, “Analysis of Orthotropic Plate Structures by The Direct-dynamic Stiffness Method.” Machanics Research Communications, Vol. 22, Issue 5, pp. 461-465.
11. A. N. Bercin, 1997, “Eigenfrequencies of Rectangular Plate Assemblies.” Computers & Structures, Vol. 65, Issue 5, pp. 703-711.
12. A. Y. T. Leung, and W. E. Zhou, 1996, “Dynamic Stiffness Analysis of Laminated Composite Plates.” Thin-Walled Structures, Vol. 25, Issue 2, pp. 109-133.
13. Ashok Kumar Ghosh, and K. C. Biswal, 1996, “Free-vibration Analysis of Stiffened Laminated Plates Using Higher-order Shear Deformation Theory.” Finite Elements in Analysis and Design, Vol. 22, Issue 2, pp. 143-161.
14. N. S. Bardell, R. S. Langley, and J. M. Dunsdon, 1996, “Free Vibration Analysis of Thin Coplanar Rectangular Plate Assemblies-Part I: Theory, and Initial Results for Specially Orthotropic Plates.” Composite Structures, Vol. 34, Issue 2, pp. 129-143.
15. N. S. Bardell, J. M. Dunsdon, and R. S. Langley, 1996, “Free vibration Analysis of Thin Coplanar Rectangular Plate Assemblies-Part II: Further Results for Generally Orthotropic Plates.” Composite Structures, Vol. 34, Issue 2, pp. 145-162.
16. 梁鏡鵬, 2000, “含壓電片之複材疊層加強板動態特性之探討”,碩士論文,中興大學機械研究所.
17. H-Y. Wu, and F. K. Chang, 1989, “Transient Dynamic Analysis of Laminated Composite Plates Subjected to Transverse Impact.” Computers and Structures, Vol. 31, No. 3, pp. 453-466.
18. 蘇振文, 1995, “含壓電致動器與感測器之複合材料疊層板振動之數位控制”,碩士論文,中興大學機械研究所.
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