研究生: |
蘇俊銘 Jeun-Ming Su |
---|---|
論文名稱: |
微分再生核法之工程應用 The Application of Differential Reproducing Kernel Method in Engineering Problems |
指導教授: |
潘誠平
Chan-Ping Pan |
口試委員: |
鄭蘩
Van Jeng 陳鴻銘 Hung-Ming Chen |
學位類別: |
碩士 Master |
系所名稱: |
工程學院 - 營建工程系 Department of Civil and Construction Engineering |
論文出版年: | 2006 |
畢業學年度: | 94 |
語文別: | 中文 |
論文頁數: | 101 |
中文關鍵詞: | 再生核近似法 、微分再生核法 、無元素法 、元素釋放法 |
外文關鍵詞: | Reproducing Kernel Approximated Method, Differential Reproducing Kernel Method, Element Free Galerkin Method, Meshless Method |
相關次數: | 點閱:236 下載:0 |
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微分再生核法是利用形狀函數具有一致性之觀念,並配合再生條件之特性,建立再生核形狀函數,再藉由再生條件之微分推導,可以快速建立再生核形狀函數的任意高階導數。
本文中推導其各階導數的再生條件,使其滿足再生核近似建立之形狀函數,突破了求導數方面之限制,以簡單的方法,可得到各階導數之微分方程,可應用之範圍相當廣泛,本文主要應用可分為二大方向:一是處理一般性結構分析之問題,針對相關影響參數進行比較分析,二是應用於數位監控之影像處理方面,由數位影像求得之位移向量,再利用微分再生核法對高階微分之特性,間接求得彎矩與剪力,並分別測試不同載重條件下之參數修正。
The Differential Reproducing Kernel Method (DRKM) uses the concepts of consistency and the reproducing conditions to derive shape functions. Functions of higher derivatives can be easily obtained by appropriate reproducing conditions.
Derivations of Reproducing Kernel Approximated are shown to facilitate the writing of programs. Applications of Differential Reproducing Kernel Method are concentrated in two areas. The first is the general structural analysis. The second is the data processing of pictures from digital camera. The pictures are obtained from structural laboratory and field. The displacement shapes are derived from Differential Reproducing Kernel Method. The moment and shear are analyzed subsequently. Parametric studies are studied to obtain the best adjustment of results.
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