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研究生: 林文旺
Lin, Wen-Wang
論文名稱: 碳鋼材料在大氣腐蝕環境下之結構可靠度分析
Structure Reliability Analysis of The Carbon Steel Material under the Atmosphere Corrosion Environment
指導教授: 楊澤民
Yang, Joe-Ming
學位類別: 碩士
Master
系所名稱: 工學院 - 系統及船舶機電工程學系
Department of Systems and Naval Mechatronic Engineering
論文出版年: 2005
畢業學年度: 93
語文別: 中文
論文頁數: 114
中文關鍵詞: 系統可靠度極限強度大氣腐蝕
外文關鍵詞: Atmospheric Corrosion, Ultimate stength, System reliability
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  •   碳鋼材料在大氣腐蝕環境的作用下,會發生腐蝕現象,削弱了結構的強度,進而造成整個結構系統上的危害。在以往腐蝕破壞的研究中,多半只是針對單一的失效模式進行分析探討,在此種情況下,各種失效破壞條件以一個經驗公式整合分析之或以一個極限狀態函數來描述之,對於整體結構的狀態並不能明確且完整的表現出受破壞的狀況。因此,為了更詳細的評估腐蝕對結構的破壞情況,本文在具有高度不確定性與複雜性的大氣腐蝕環境中,考慮二氧化硫與相對濕度對鋼橋腐蝕的影響,並加上靜載重與活載重對鋼橋破壞之評估,進而求得鋼橋系統失效機率,藉以充分代表整體構件的真實情況。
      本研究的主要目的是針對鋼結構物在受大氣腐蝕前與腐蝕後,在不考慮疲勞影響的情況下,進行系統可靠度分析。其中是考慮極限強度與結構可靠度理論為基礎,再配合腐蝕模型之統計與系統可靠度方法來求得結構物的破壞機率,最後評估結構物腐蝕前與腐蝕後之系統可靠度。

      As for Carbon steel materials, it often occurs corrosion which weakens construction state and it further damages to whole construction system under atmospheric corrosion environment. In the past research about corrosion destruction, most of them just analyze and discuss according to single failure mode. Under this situation, you just can use one limit state function to describe construction status or combine each failure destruction condition to analyze with one experience formula. But for whole construction status, it can not show destructive situation clearly.Thus, in order to evaluate the destructive situation of corrosion against construction clearly, this research makes searching system failure probability represent sufficiently real situation of whole construction under atmospheric corrosion environment with high complication, considering the effect of SO2 and relative humidity against steel corrosion, with evaluation of static load and live load against steel bridges destruction.
      The main purpose of this research is to perform system reliability according to steel construction before and after atmospheric corrosion without considering tiredness effect. According to limit state consideration and structural reliability, matching with searching failure probability from system reliability and corrosion modes, it evaluates system reliability before and after corrosion finally.

    目 錄 摘要…………………………………………………………………Ⅰ 英文摘要……………………………………………………………II 誌謝…………………………………………………………………III 目錄…………………………………………………………………IV 表目錄………………………………………………………………VIII 圖目錄………………………………………………………………X 符號說明……………………………………………………………XIII 第一章 緒論 ………………………………………………………1 1.1 前言……………………………………………………………1 1.2 文獻回顧………………………………………………………3 1.3 本文架構………………………………………………………4 第二章 可靠度理論與應用………………………………………5 2.1 可靠度的定義…………………………………………………5 2.2 不確定因子之量化……………………………………………6 2.2.1 不確定因子………………………………………………6 2.2.2 不確定因子的類型………………………………………6 2.3 結構可靠度……………………………………………………8 2.3.1 可靠度函數與失效率函數………………………………9 2.3.2 強度與應力干擾基本理論………………………………11 2.4 基本隨機變量之轉換…………………………………………18 2.4.1 常態分佈…………………………………………………19 2.4.2 指數分佈…………………………………………………20 2.5 安全餘裕與極限狀態函數……………………………………21 2.6 可靠度指標……………………………………………………22 2.7 結構系統之可靠度觀念與應用………………………………26 2.7.1 串聯系統…………………………………………………27 2.7.2 Ditlevsen's邊界方法…………………………………29 2.7.3 並聯系統…………………………………………………31 2.7.4 直接積分方法求並聯系統失效機率……………………32 2.7.5 Dunnett&Sobel積分方法計算並聯系統失效機率 …33 2.7.6 串聯與並聯組合系統 …………………………………35 2.7.7 等效元件的使用 ………………………………………37 第三章 腐蝕………………………………………………………40 3.1 腐蝕的定義……………………………………………………40 3.1.1 金屬腐蝕的原因…………………………………………42 3.1.2 影響鋼鐵腐蝕之因素……………………………………43 3.1.3 腐蝕機構簡介……………………………………………47 3.2 大氣腐蝕………………………………………………………53 3.2.1 鋼鐵的大氣腐蝕模型……………………………………55 3.2.2 本論文所運用的大氣腐蝕模型…………………………57 第四章 鋼橋極限強度之研究……………………………………60 4.1 容許應力設計法與塑性設計法………………………………60 4.2 極限設計法……………………………………………………65 4.3 以可靠度為基準的極限設計法………………………………67 4.4 極限狀態之界定………………………………………………70 4.5 結構系統之考量………………………………………………71 第五章 大氣腐蝕與鋼橋之實例計算結果與討論………………74 5.1 大氣腐蝕因子之計算…………………………………………74 5.1.1二氧化硫濃度 ……………………………………………74 5.1.2 相對溼度…………………………………………………78 5.1.3 大氣腐蝕模型之計算與統計……………………………82 5.2 鋼橋實例之計算 ……………………………………………85 5.2.1 鋼橋結構之系統可靠度分析……………………………85 5.2.2 結果與討論………………………………………………89 5.3 鋼橋結構腐蝕後之系統可靠度分析…………………………96 5.3.1 鋼橋結構之系統可靠度分析……………………………96 5.3.2 結果與討論………………………………………………99 第六章 結論………………………………………………………105 參考文獻……………………………………………………………108

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