| 研究生: |
王子恆 Wang, Tzu-Heng |
|---|---|
| 論文名稱: |
不同長/短軸長度比橢圓形管在循環彎曲負載下響應與失效之實驗研究 Experimental Study of the Response and Failure of Elliptical Tubes with Different Major/Minor Axis Length Ratios under Cyclic Bending |
| 指導教授: |
潘文峰
Pan, Wen-Fung |
| 學位類別: |
碩士 Master |
| 系所名稱: |
工學院 - 工程科學系 Department of Engineering Science |
| 論文出版年: | 2023 |
| 畢業學年度: | 111 |
| 語文別: | 中文 |
| 論文頁數: | 49 |
| 中文關鍵詞: | SUS304不鏽鋼橢圓形管 、循環彎曲 、曲率 、彎矩 、短軸變化 、循環至皺曲圈數 |
| 外文關鍵詞: | SUS304 stainless steel elliptical tubes, major/minor axis length ratios, cyclic bending, curvature, moment, minor axis variation, number of cycles needed to initiate buckling |
| 相關次數: | 點閱:132 下載:12 |
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本文係實驗探討不同長/短軸長度比橢圓形管在循環彎曲負載下響應與失效,其中所採用橢圓形管材料為SUS304不鏽鋼,而四組不同的長/短軸長度比分別為:1.5、2.0、2.5和3.0,橢圓形管的管壁厚度皆為0.7 mm,並以不同對稱曲率控制進行循環彎曲負載至皺曲失效的實驗,至於彎矩的方向則與長軸方向重疊。根據實驗結果顯示,不論長/短軸長度比,彎矩-曲率的關係會呈現循環硬化後,即形成一穩定的彈塑性迴圈,在相同的控制曲率情況下,隨著長/短軸長度比的增加,彎矩的極值會有些許的下降,但變化不大。接著,本文以短軸變化取代橢圓化,其定義為短軸變化量/原始短軸長。實驗結果顯示,長/短軸長度比為1.5時,短軸變化-曲率關係會隨著循環圈數的增加呈現對稱、增加與棘齒狀的趨勢,但是當長/短軸長度比為2.0以上時,則該關係會隨著循環圈數的增加而呈現對稱、增加與蝴蝶狀的趨勢,且長/短軸長度比越大時,短軸變化就越大。此外,若以雙對數座標表示曲率-循環至皺曲圈數關係,則四組長/短軸長度比可以對應出四條直線。最後,本文將Kyriakides和Shaw[2]所提出的相關經驗公式修改後,來描述不同長/短軸長度比的SUS304不鏽鋼橢圓形管承受循環彎曲負載下的曲率-循環至皺曲圈數關係。經由理論描述與實驗數據的比較結果顯示,本文所提出的經驗公式可合理地描述實驗結果。
This paper investigates the response and failure of elliptical tubes with different major/minor axis length ratios under cyclic bending. SUS304 stainless steel is used as the material for the elliptical tubes with four major/minor axis length ratios of 1.5, 2.0, 2.5, and 3.0. The wall thickness is 0.7 mm, and cyclic bending loads are applied until buckling failure. The experimental moment-curvature relationships show cyclic hardening and become a stable loop for all major/minor axis length ratios. Increasing major/minor axis length ratio slightly decreases the peak bending moment. This study also explores the minor axis variation-curvature relationships (minor axis variation = change of the length of the minor axis / original length of the minor axis), a symmetrical, ratcheting, and increasing trend with an increase in the number of cycles is found for major/minor axis length ratio = 1.5. However, when the major/minor axis length ratio = 2.0, 2.5, and 3.0, the relationships exhibits a symmetrical, ratcheting, increasing and butterfly-like trend with an increase in the number of cycles, and the minor axis variation increases with a larger major/minor axis length ratio.
For the curvature-number of cycles needed to initiate buckling relationships, it can be observed that a larger major/minor axis length ratio causes a fewer number of cycles needed to initiate buckling. In addition, four major/minor axis length ratios correspond to four straight line lines for the curvature-number of cycles needed to initiate buckling relationships in double logarithmic coordinates. Finally, this study used theoretical equations to describe the above-mentioned relationships. The theoretical analysis was compared with experimental data, and it was found that both approaches were very close, indicating that the theory could reasonably describe the experimental results.
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