研究生: |
宋俊宜 Chun-Yi Sung |
---|---|
論文名稱: |
有限元素網格對開挖分析結果影響之估計方法初探 The evaluation method on influences of finite-element mesh in excavation-analysis results – a preliminary study |
指導教授: |
謝佑明
Yo-Ming Hsieh |
口試委員: |
歐章煜
Chang-Yu Ou 張大鵬 Ta-Peng Chang 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: | 2008 |
畢業學年度: | 96 |
語文別: | 中文 |
論文頁數: | 197 |
中文關鍵詞: | 網格引致之誤差 、有限元素分析 、誤差評估 |
外文關鍵詞: | mesh-induced error, error estimation, finite element analysis |
相關次數: | 點閱:186 下載:4 |
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本研究之目的在於嘗試提供一足以取代網格敏感度分析之工具,透過網格誤差評估結果以了解因有限元素法網格造成的計算誤差。在有限元素法的分析後誤差評估方法中,將部分方法實作為程式以計算本研究將分析之開挖問題,並找出最合適的誤差評估方法。本研究以都會地區為目標整理了台北市與香港大地工程開挖案例的典型尺寸,並根據尺寸與參數的組合進行大規模的案例計算,爾後針對各個案例計算誤差之評估值與網格引致之誤差值,最後將兩者進行關聯分析。本研究以C++程式語言撰寫誤差評估程式,配合有限元素分析軟體ABAQUS,實現了有限元素法的分析後誤差評估,並同時以視覺化類別庫VTK開發了誤差評估視覺化程式,可協助觀察誤差評估計算後之誤差分佈。此外,本研究以MySQL資料庫整理誤差評估值與網格引致之誤差值,以Gnuplot做關聯結果呈現,並以Excel作關聯的計算分析與統計,最終得到誤差評估值與網格引致誤差值之關聯。
A new tool replacing mesh-sensitivity analyses is attempted to be developed in finite element analyses for excavations by using the relationship between A Posteriori Error Estimation and Mesh-induced-error. Several stress-recovery techniques and recovery-based error estimators are reviewed or defined and then implemented in computer programs, and these implemented error-estimators are then used on thousands of finite-element calculation results for excavation problems to identify the potential relationships between mesh-induced errors and estimated errors. The analyzed cases of excavations are based on sandy soils and excavation case histories in urban area of Taipei and Hong Kong.
Error estimators were programmed by the author using object oriented technique with computer language C++, and finite element solutions were obtained using commercial finite element code ABAQUS. The spatial distribution of estimated errors is visualized by author’s program with the aid of Visualization ToolKit (VTK). Database management system MySQL was used to store computed data of error estimation and mesh-induced-error. The stored data was then utilized in conjunction with Gnuplot and BASH shell scripts for visualizing the correlation between mesh-induced errors and estimated errors. Finally, Excel was employed for correlating mesh-induced errors and estimated errors.
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