| 研究生: |
鄭志源 Cheng, Chih-Yuan |
|---|---|
| 論文名稱: |
微分再生核近似法於二維平板挫屈之分析 |
| 指導教授: |
王永明
Wang, Yung-Ming |
| 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: | 2004 |
| 畢業學年度: | 92 |
| 語文別: | 中文 |
| 論文頁數: | 81 |
| 中文關鍵詞: | 無元素法 、挫屈 |
| 外文關鍵詞: | Mindlin plate, meshfree, buckling |
| 相關次數: | 點閱:82 下載:1 |
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本文主要利用無元素法(Meshfree method)中的微分再生核近似法(Differential Reproducing Kernel Approximation, DRKM),來分析平板挫屈問題。考慮在平行x軸的兩邊為簡支承,其餘兩邊為自由端,簡支承,固定端兩兩任意組合。在不同長寬比,寬厚比下,承受單向及雙向壓力下的數值分析結果。
數值算例中,求解四邊為簡支承平板挫屈問題,幾乎可達到解析解的精度,其餘邊界條件和文獻比較,亦有良好的精度,驗證了微分再生核近似法在平板挫屈問題分析上的可行性。
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Belytschko, T., Gu, L. and Lu, Y. Y. ,” Fracture and crack growth by element-free Galerkin methods”, Model. Simul. Mater. Sci. Engrg. 2,
519-534(1994).
Belytschko, T., Krongauz, Y., Orang, D.,” Fleming, N.:Meshless method: An Overview and Recent Development”, Computer Method in Applied Mechanics & Engineering, 139, 3-47(1996).
Chen, J. S., Wu, C. T. and Liu, W. K.,” Reproducing Kernel Particle Methods for Large Deformation Analysis of non-linear structures”, Computer Method in Applied Mechanics And Engineering. 139, 195-227(1996).
Chang, T. P. and Chang H. C.,”Vibration and buckling analysis of rectangular plates with nonlinear elastic end restraints against rotation”, J Solids Structures Vol.34,No.18,2291-2301(1997)
Charles W. Bert and Krishna K. Devarakonda ,”Buckling of rectangular plates subjected to nonlinearly distributed in-plane loading”, J.Solids and Structures 40,4097-4106(2003)
Lucy,L.B.,”Anumerical approach to the testing of the fission hypothesis”, The Astron.J.8(12),1013-1024(1977)
Liu, W. K., Jun, S. and Zhang, Y. F. ” Reproducing kernel particle
Methods”, Int. J. Number. Methods Engrg.20, 1081-1106(1995)
Liew, K.M. , Xiang, Y. and S. Kitiporncha,”Analytical buckling solution for Mindlin plates involving free edges”, J.Mech. Sci. Vol.38,No.10,1127-1138(1996)
Li, s., Hao, W., Liu, W. K.,” Numerical simulation of large deformation of
thin shell structures using meshfree methods. Computational Mechanics
25, 102-116(2000)
Nalroles, B., Touzot, G. and Villon, P.,” Generalizing the finite element
method diffuse approximation and diffuse element”, Comput. Mech. 10, 307-318(1992)
Oñate, E., Idelsohn, S., Zienkiewicz, O. C., Taylor, R. L. and Sacco, .,”A
Stabilized finite point method for analysis of fluid mechanics problems”,
Computer Method in Applied Mechanics & Engineering,139,315-346
(1996).
Robert Levy,” Rayleigh-Ritz optimal design of orthotropic plates for
buckling “,Structural Engineering and Mechanics,Vol.4,No.5,541-552
(1996)
Wang, J., Liew,.K.M. ,Tan,M.J. and S. Rajendran,”Analysis of rectangular laminated composite plates via FSDT meshless method”,J.Mechanical Sciences 44,1275-1293(2002)
Xiang, Y. and Su G.H.,”Buckling of rectangular plates with mixed edge supports” Structural Engineer and Mechanics ,Vol.14,No.4,401-416
(2002)
Yoshihiro Narita and Arthur W. Leissa,” Buckling studies for simply supported symmetrically laminated rectangular plates”,J. Mech. Sci. vol.32,No.11,909-924(1990)
盛若磐,”元素釋放法積分法則與權函數之改良”,近代工程計算論壇(2000)論文集,國立中央大學土木系,2000.