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研究生: 陳啟榮
Chen, Chi-Ron
論文名稱: 數位光彈分析偏光儀系統之研發
Research of A Polariscope System for Digital Photoelastic Analysis
指導教授: 陳元方
Chen, T.Y.
學位類別: 碩士
Master
系所名稱: 工學院 - 機械工程學系
Department of Mechanical Engineering
論文出版年: 2005
畢業學年度: 93
語文別: 中文
論文頁數: 118
中文關鍵詞: 等傾線光彈力學
外文關鍵詞: Isochromatic, Isoclinic, Min-Max, Photoelaseticity
相關次數: 點閱:111下載:8
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  •   當物體受力時要量測其內部應力的分布或變化最準確的方法即是由實驗去求得。光彈應力分析是一門發展許久的且有許多的著作的應力量測技術,其不僅僅適用於物體二維應力的量測,在三維應力的量測方面亦能發揮其強大的功用,若將其自動化後以應用於應力的分析,可快速且準確得到物體每點所受應力的情況。

      本文主要在發展一套能夠快速得到物體應力分布情形的軟硬體設備,以及應用一種較新Min-Max法配合二種波長用以求得等傾線上的主應力方向角及等色線上的條紋序數分布之情形,並對先前所應用的理論加以分析及改進,以求得更精確、誤差更小之計算結果。在硬體方法改善了傳統使用二波長或三波長時需要更換濾光片的麻煩,將其設置為一次能處理二種波長的影像,在軟體的應用方面亦提出新的方法計算其起始點的條紋序數。

     The most precise way to measure the stress state or variation of a object that subject by force is by experiment. The photoelastic stress analysis is a technology with a long development and many papers. It uses not only in 2D stress analysis but also with a powerful function in 3D analysis. It could be very fast and accurate in analysis of the stress of a subject if it operates automatically. The main purpose of the article is to build a software and hardware to get the stress distribution of an object and apply a new way:Min-Max with two waves to get the principle stress direction in isoclinic and fringe order in isochromatic. Analyzing and amending the former theorem in calculate fringe order in order to get more precise and less error result. In hardware, we can handle two images in a time. In software, we apply a new way to calculate fringe order made a good progress.

    摘要. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I 目錄. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .III 圖目錄. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . V 表目錄. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XVI 第一章 緒論. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1 1.1 研究目的與背景. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1 1.2 文獻回顧. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .2 1.3 研究動機. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .5 第二章 偏光彈性法. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .7 2.1 光波. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.2 偏極光. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.3 雙折射性材料. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.4 光-應力定律. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .9 2.5 平面偏光場理論. . . . . . . . . . . . . . . . . . . . . . . . . . . .10 2.6 圓偏光場理論. . . . . . . . . . . . . . . . . . . . . . . . . . . . .12 第三章 實驗設備及系統校正. . . . . . . . . . . . . . . . . . . . . . . . . 15 3.1 實驗設備. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .15 3.2 材料條紋常數實驗. . . . . . . . . . . . . . . . . . . . . . . . . . .19 3.3 程式校正. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .22 3.4 雜訊測試及模擬. . . . . . . . . . . . . . . . . . . . . . . . . . . .30 3.5 影像處理. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .39 第四章 主應力方向角分析. . . . . . . . . . . . . . . . . . . . . . . . . . 41 4.1 Min-Max法分析主應力方向角. . . . . . . . . . . . . . . . . . . . . . . 41 4.2 實心圓盤主應力方向角分析. . . . . . . . . . . . . . . . . . . . . . . .44 4.3 實心圓盤三點受力主應力方向角分析. . . . . . . . . . . . . . . . . . . .63 4.4 空心圓盤主應力方向角分析. . . . . . . . . . . . . . . . . . . . . . . .79 第五章 條紋序數分析. . . . . . . . . . . . . . . . . . . . . . . . . . . . 94 5.1 等傾線轉等色線. . . . . . . . . . . . . . . . . . . . . . . . . . . .94 5.2 條紋序數展開. . . . . . . . . . . . . . . . . . . . . . . . . . . . .99 第六章 結論與建議. . . . . . . . . . . . . . . . . . . . . . . . . . . . .114 6.1 結論. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .114 6.3 建議與未來展望. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .115 參考文獻. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 116

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