| 研究生: |
李家瑋 Lee, Chia-Wei |
|---|---|
| 論文名稱: |
複合圓柱層殼Love理論之幾何非線性撓曲分析 goemetric nonlinear analysis of cylindrical composite shell by Love theorem |
| 指導教授: |
吳致平
Wu, Chih-Ping |
| 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: | 2002 |
| 畢業學年度: | 90 |
| 語文別: | 中文 |
| 論文頁數: | 37 |
| 中文關鍵詞: | 複合圓柱層殼 、非線性分析 |
| 外文關鍵詞: | nonlinear analysis, cylindrical shell |
| 相關次數: | 點閱:78 下載:1 |
| 分享至: |
| 查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報 |
摘要
本文主要是以Love古典殼理論為基礎,應用Von Kámon大變位假設,解析複合圓柱層殼幾何非線性撓曲行為,並與線性解作一比較評估。
Love古典理論在推導基本方程式的過程中,分別在各不同推衍步驟上作了不同程度的假設。本文將Love理論推導出的控制方程以位移場表示,應用微分數值法求解受靜載重下複合圓柱層殼的應力與位移。
數值範例上,本文針對簡支承與固定端支承兩種邊界條件,分析正交疊合圓柱層殼幾何非線性撓曲行為。參數分析中則改變載重、幾何參數、疊層排列情形,求解層殼受對稱載重下的撓曲位移與撓曲應力,並作線性與幾何非線性理論的評估比較。
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1. Donnell, L. H. Beams, Plates and Shells. New York: McGraw-Hill 1976.
2. Flugge, W. Stresses in Shells. New York: Springer-Verlag 1973.
3. Love , A. E. H. A Treatise on the Mathematical Theory of Elasticity. New York: Dover 1944.
4. Sanders, J. L. NASA-TR-R24. An improved first approximation theory for thin shells 1959.
5. Kraus, H. Thin Elastic Shells. New York: Wiley 1967.
6. Yuan, F.G Exact Solution for Laminated Composite Cylindrical Shells in Cylindrical Bending. Journal of Reinforces Plastics Composite , VOL.11
-April 1992.
7. Ren, J.G. Exact solutions for laminated cylindrical shells in cylindrical bending. Composites Science and Technology 29, 169-187, 1987.
8. Ren, J.G Analysis of laminated circular cylindrical shells under axisymmetric loading. Composite Structures 30, 271-280, 1995.
9. Chandrashekhara, K., Nanjunda, K.S. and Rao Approximate elasticity solution for a long and thick laminated circular cylindrical shell of revolution. Int. J. Solid Structures , VOL.34.No11 pp.1327-1341, 1997.
10. Birman, Victor Axisymmetric bending of generally laminated cylindrical shells. Journal of Applied Mechanics, VOL.60/157, March 1993.
11. Touratier, Maurice A generalization of shear deformation theories for Axisymmetric multilayered shells. Int. J. Solid Structures, VOL.29.No11 pp.1379-1399,1997.
12. Chandrashekhara, K. and Kumar, B.S. Static analysis of a thick laminated circular cylindrical shell subjected to axisymmetric load. Composite Structures, VOL23, 1993.
13. Leissa, A.W. Vibration of Shells. NASA SP-288, 1973.
14. Shu, C. and Ricgards, B.E. Application of generalized differential quadrature to solve two-dimension incompressible Navier-Strokes equations. International Journal for Numerical Methods in Fluids,VOL15,
pp.791-798,1992.