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系統識別號 U0026-0812200915032223
論文名稱(中文) 圓管循環彎曲負載下管面橢圓化成長及循環至皺曲圈數之研究
論文名稱(英文) The Investigation of Ovalization Growth of Tube Cross-Section and the Number of Cycles to Buckling for Circular Tubes under Cyclic Bending
校院名稱 成功大學
系所名稱(中) 工程科學系碩博士班
系所名稱(英) Department of Engineering Science
學年度 97
學期 1
出版年 98
研究生(中文) 張高華
研究生(英文) Kao-Hua Chang
電子信箱 n9891111@mail.ncku.edu.tw
學號 n9891111
學位類別 博士
語文別 中文
論文頁數 194頁
口試委員 指導教授-潘文峰
口試委員-王榮泰
召集委員-陳元方
口試委員-楊勝安
口試委員-盧俊愷
中文關鍵字 頹毀  橢圓化  曲度  曲度控制  曲度率  虛左k  外直徑-厚度比  內涵時間理論  薄壁管  電腦輔助工程分析  棘齒狀  皺曲 
英文關鍵字 Principle of Virtual Work  Curvature-Controlled  Curvature  Ovalization  Endochronic Theory  Thin-Walled Tube  Outer Diameter-to-Thickness Ratio  Curvature Rate  Ratcheting  Buckle  Computer Add Engineering Analysis  Collapse 
學科別分類
中文摘要 本文針對不同內/外直徑圓管於承受循環彎曲負載時,所呈現出的力學行為、皺曲損壞現象及管徑成長的變化,進行實驗與理論研究。
實驗方面:採用三種不同內/外直徑SUS316L不銹鋼圓管,在對外直徑做適度的車削以得到實驗設定的外徑/壁厚比後,進行純彎曲實驗。研究係運用"彎管試驗機"及"曲度-橢圓化量測器"來進行不同曲度控制下循環彎曲至皺曲的實驗。在訊號擷取上,利用實驗儀器上的力檢出器測得的拉力,在經過簡單計算後得到彎曲力矩值的大小,而曲度-橢圓化量測器則用來量測曲度與橢圓化的變化。同時電腦也記錄鋼管到達皺曲時的循環次數。
理論方面:採用內涵時間理論結合虛平麮z、ANSYS有限元素分析軟體與ABAQUS有限元素分析軟體,來分析圓管在循環彎曲負載時,彎矩、曲度、橢圓化的相互關係。
實驗中發現,控制曲度與循環到皺曲圈數的關係於雙對數圖中呈現互相平行的直線;而且,橢圓化的變化曲線與循環圈數的關係非常類似於單軸潛變負載的潛變應變(ε)與時間(t)的關係。因此本文分別參考Kyriakides[1]與單軸潛變Baily-Nortron公式,提出三個新的理論公式來描述相同內直徑但不同Do/t比,及不同內直徑卻有相同Do/t比之SUS316L不銹鋼圓管的控制曲度(κc)與循環到皺曲圈數(Nb)的關係及橢圓化大小(ΔDo/Do)和循環次數(N)的關係。
分析結果顯示,本文所提出的理論公式於曲度控制下,描述不同的管徑及不同的外直徑-厚度比之SUS316L不銹鋼圓管的控制曲度(κc)與循環到皺曲圈數的關係(Nb)及橢圓化大小(ΔDo/Do)和循環次數(N)的關係,有令人滿意的結果。
英文摘要 This study presents the mechanical behavior, buckling failure and the accumulate ovalization of the experimental and theoretical analysis on circular tubes with different inside/outside diameters subjected to cyclic bending.
For experimental aspect, three different inside/outside diameters of SUS316L stainless steel tubes were used in this study. The outside diameter of tubes was slightly machined to obtain the desired outside-diameter / wall-thickness ratio. The “tube bending machine” and “curvature-ovalization measurement apparatus” were used to conduct the curvature-controlled cyclic bending to buckling test. For signal detection, the load cells on the tube bending machine were used to measure the tube bending moment, and the inclinometers and magnetic detector on the curvature-ovalization measurement apparatus were used to measure the tube curvature and tube ovalization. Simultaneously, the number of cycles to produce buckling was also recorded.
For theoretical aspect, the Endochronic theory combined with the principle of virtual work, the finite element analysis software ANSYS and finite element analysis software ABAQUS were used to analyze the relationship among bending moment, curvature and ovalization.
On experimental results, the relationship between the ovalization and number of cycles to produce buckling on log-log scale shows similar parallel straight lines. And, the relationship between the ovalization and the number of cycles under pure bending is similar to the relationship between the creep strain and time under uniaxial creep. Therefore, the formula to refer to the Kyriakides [1] and the Baily-Nortron law for uniaxial creep was considered, two new theoretical models were proposed to simulate the ovalization and number of cycles to produce buckling (buckling failure) and the ovalization and the number of cycles under pure bending for same inner diameter on different Do/t ratio and different inner diameter on same Do/t ratio of SUS316L stainless steel tubes.
In the event, under controlled-curvature pure bending, the new theoretical models were proposed could be properly simulate the ovalization and number of cycles to produce buckling and the ovalization and the number of cycles of circular tubes of SUS316L stainless steel.
論文目次 中文摘要 Ⅲ
英文摘要 V
誌謝 Ⅶ
目錄 Ⅷ
表目錄 XII
圖目錄 XIII
符號說明 XX
第一章 緒論 1
§1-1 前言 1
§1-2 研究動機及目的
1
§1-3 研究方法 4
§1-4 文獻回顧 6
第二章 實驗設備、材料及步驟 13
§2-1 主要設備 13
§2-2 實驗儀器整體弁?19
§2-3實驗材料 20
§2-4 實驗原理及步驟 21
§2-4-1 作動方式 21
§2-4-2 實驗步驟 24
§2-5 實驗值的整理 27
§2-6 注意事項 28
第三章 理論計算分析 44
§3-1 內涵時間塑性理論 44
§3-1-1 基本理論 44
§3-1-1-1 內涵時間定義 44
§3-1-1-2 材料函數的定義 46
§3-1-1-3 材料性質的假設 47
§3-1-1-4 增量式內涵時間塑性理論 48
§3-1-1-5 圓管在純彎曲作用下,增量式內涵時間理論的推導 50
§3-1-2 圓管上的應變 54
§3-1-2-1 軸向應變 55
§3-1-2-2 圓周方向應變 56
§3-1-3 虛左k的描述 59
§3-1-4 數值計算 61
§3-1-4-1 管壁之積分與運算 62
§3-1-4-2 電腦模擬過程 63
§3-1-4-3 計算流程 64
§3-2 運用ANSYS進行分析 66
§3-2-1 有限元素法 66
§3-2-2 ANSYS簡介 67
§3-2-3 分析所使用之元素 69
§3-2-4 材料特性 69
§3-2-4-1 材料性質 69
§3-2-4-2 材料硬化理論及其降伏面 72
§3-2-5 邊界及負載 72
§3-3 運用ABAQUS進行分析 72
§3-3-1 ABAQUS簡介 72
§3-3-2 分析所使用之元素 74
§3-3-3 邊界及負載 74
第四章 圓管受純彎曲作用下之行為 97
§4-1 實驗結果 97
§4-2 內涵時間理論計算結果 98
§4-3 ANSYS分析結果 97
§4-4 ABAQUS分析結果 99
§4-5 實驗與三種理論分析結果之比較與討論
99
§4-5-1彎矩(M)-曲度(κ)之結果比較
99
§4-5-2橢圓化(ΔDo/Do)-曲度(κ)之結果比較
100
§4-5-3四種結果之討論
101
第五章 循環彎曲下橢圓化成長與皺曲損壞之分析 140
§5-1 SUS316L大管(B-tube)之皺曲損壞分析
140
§5-2 SUS316L大管(B-tube)之橢圓化成長分析
144
§5-3 SUS316L大、中及小管(B-tube、M-tube and S-tube)之皺曲損壞分析 146
§5-4 SUS316L大、中及小管(B-tube、M-tube and S-tube)之橢圓化成長分析
149
第六章 結論 176
論文發表 179
參考文獻 180
自述 194
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