研究生: |
梁文明 Wen-Ming Liang |
---|---|
論文名稱: |
以有限元素法求取鋼筋混凝土桿件之勁度矩陣 Use Finite Element Method to Get the Frame Stiffness Matrix |
指導教授: |
潘誠平
Chan-Ping Pan |
口試委員: |
林昌佑
none 鄭蘩 none |
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: | 91 |
中文關鍵詞: | 有限元素法 、鋼筋混凝土 、桿件勁度矩陣 、相對滑移 、裂縫 、ANSYS |
外文關鍵詞: | Finite Element Method, Reinforced Concrete, Frame Stiffness Matrix, Slip, Crack, ANSYS |
相關次數: | 點閱:227 下載:4 |
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一般鋼筋混凝土梁受撓曲後都會產生裂縫而使得慣性矩變小,因此必須考慮裂縫與鋼筋對勁度EI之影響,故本研究主要是想依一定的結構分析流程,直接求得用於構架分析所需的切線勁度矩陣,並進一步觀察及討論勁度矩陣。
本研究將以有限元素套裝軟體ANSYS中的平面應力元素及其他元素,來模擬鋼筋混凝土及裂縫,此方式可輕易的包含複合材料、開裂甚至鋼筋與混凝土之間的相對滑移等因素,再經由兩種不同的勁度矩陣推導方法來得到勁度矩陣。
由方法二所導出的平面鋼架勁度矩陣,可以得到軸向自由度與轉角自由度之間的交互影響項,可見方法二的結果更能表現出鋼筋混凝土梁受力的行為,故應直接將方法二所導出之平面鋼架勁度矩陣用於分析。
The bending stiffness can be reduced by cracking or nonlinear behaviors. The purpose of this study is to obtain the bending stiffness by the finite element analyses. The results are concentrated on the tangent stiffness matrix.
The computer package ANSYS was used to do the analyses. Several elements were selected to build this model. Plane stress element is one of the examples. The composite material and cracks were simulated. Two derivation methods were used for the establishment of stiffness matrix.
The major results were obtained by the method two. The interaction between the axial force and bending is found by this analysis. The results are more accurate and predictable than old methods. The results were used to compare the results from ACI code also.
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