研究生: |
李宗翰 Zong-Han - Li |
---|---|
論文名稱: |
以平滑有限元素法探討軸力桿件α值 Use Smoothed Finite Element Method to study on the α Value of the Axial Force Bar |
指導教授: |
潘誠平
none |
口試委員: |
歐昱辰
none 蔡幸致 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: | 2017 |
畢業學年度: | 105 |
語文別: | 中文 |
論文頁數: | 81 |
中文關鍵詞: | 平滑有限元素法 、α有限元素法 |
外文關鍵詞: | S-FEM, α-FEM |
相關次數: | 點閱:171 下載:2 |
分享至: |
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分析軟體在工程界中廣泛使用,配合不同問題環境、材料性質及邊界條件能解決各種問題,但是有鑑於有限元素法所計算出位移值比真實解略大,為了更精確得到真實解,本研究探討S-FEM法並且與有限元素法比較,利用縮放因子α來平衡兩者之間的解,並且對此α值加以探討。
本研究利用Fortran分析軟體模擬軸力桿件在集中力,均布載重及指數函數載重,考慮線彈性料,比較出傳統手算法與電腦分析差異性。就本研究分析結果來看,集中力及均布載重較為單純的作用力下,有限元素法所求為真實解,α值不需要調整,而較複雜指數函數e載重則有限元素法有偏硬的情形,故α-FEM的使用得視題目而定,並且α之值得依學者所考量而定,如應力、位移。所考量不同,對於α的配給也有不同。
The analysis software is widely used in the engineering field, and can solve various problems according to the different environment, material properties and boundary conditions. However, in order to obtain the true solution more accurately, the displacement value calculated by the finite element method is larger than the real solution. The S-FEM method is discussed and compared with the finite element method. The solution between them is balanced by the scaling factor α, and the α value is discussed.
In this study, Fortran analysis software was used to simulate the axial force of the rod in the concentrated force, uniform load and exponential load, consider the linear elastic material, compared the traditional hand algorithm and computer analysis of differences. The results of this study show that the concentrated force and uniform load under a relatively simple force, the finite element method for the real solution, α value does not require adjustment, and the more complex exponential function of the finite element method e is more rigid The use of α-FEM depends on the subject, and the value of α depends on the consideration of the scholars, such as stress and displacement. Different considerations, for the ration of α are also different.
參考文獻
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[7] G.R.Liu"Smoothed Finite element methods”,Chapter4 Fundamental Theories for S-FEM P94-P97,2010
[8] G.R.Liu"Smoothed Finite element methods " Chapter 9, TheαFEM P327, 2010