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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
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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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    摘要…………………………………………………I 誌謝…………………………………………………II 目錄…………………………………………………III 表目錄………………………………………………IV 圖目錄………………………………………………V 第一章緒論…………………………………………1 1.1前言…………………………………………1 1.2無元素的發展與參考文獻…………………2 1.3本文架構……………………………………4 第二章理論基礎……………………………………5 2.1離散的再生核近似…………………………5 2.2DRKM再生核形狀函數的微分………………7 第三章Mindlin平板挫屈問題之分析……………11 3.1Mindlin 平板挫屈控制方程式和邊界條件11 3.2 數值分析方法……………………………13 第四章數值分析結果.......................17 第五章 結論………………………………………22 參考文獻 …………………………………………23

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