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研究生:郭宏銘
研究生(外文):H.M. Kuo
論文名稱:短纖發泡複材結構靜動態特性研究
論文名稱(外文):Study of Static and Dynamic Characteristics for Foamed Short-Fiber-Reinforced Composite-Structure
指導教授:趙魯平趙魯平引用關係
指導教授(外文):L.P. Chao
學位類別:碩士
校院名稱:逢甲大學
系所名稱:機械工程學系
學門:工程學門
學類:機械工程學類
論文種類:學術論文
論文出版年:2001
畢業學年度:89
語文別:中文
論文頁數:88
中文關鍵詞:短纖發泡混凝土縱橫比孔隙率阻尼損耗分率
外文關鍵詞:foamedshort fiberconcreteaspect ratioporositydamping loss factor
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本研究擬探討短纖發泡複材結構的機械性質,本研究的實驗與理論分析上是以混凝土作為基材為例,並建立數學分析模式與實驗實測。分析模式為先以等價同質體法求出短纖發泡混凝土的彈性模數,剪彈性模數、波松比。再經有限元素近似法求出各自然頻率大小。實驗實測方面則使用頻譜分析技術以得出各自然頻率大小。並針對自然頻率與發泡混凝土中孔隙率、孔隙縱橫比、短纖百分比、短纖縱橫比的相互關係作探討,此外短纖發泡混凝土試體平板的阻尼能力(damping capacities)亦將利用自由震盪衰減技術(free-vibration-decay technique),使用一端懸臂平板的邊界條件與其第一自然頻率進行阻尼特性量測,以求出阻尼耗損分率(damping loss factor)。其研究結果,將可使短纖發泡混凝土結構在結構動態設計或控制上有所依循,並可用於工具機基座與主結構、房屋空間隔音、各種吸振裝置所需。

The purpose of this study is to determine the effective elastic moduli of foamed short-fiber-reinforced-structures under the variation of void aspect ratio, short-fiber aspect ratio, fiber volume fraction and porosity. The method developed for the determination of the effective elastic moduli is based upon Eshelby’s equivalent inclusion method. Then, the fundamental nature frequencies can be obtained by using finite element method. In this study, the matrix of the short-fiber-reinforced-structure is the concrete as the theoretical and experimental demonstration. The results obtained from numerical simulation are compared with those experimentally obtained from the fast-Fourier-transform (FFT) technique. Meanwhile, the damping capacities of foamed short-fiber-reinforced- structure with different void aspect ratio, fiber aspect ratio, fiber volume fraction, and porosity are also measured by using free-vibration-decay technique. Based on resonant dwell tests and bandwidth tests, the specimen turns out the results of damping loss factor for the foamed short-fiber-reinforced-concrete structure, which was driven in its first mode while the resonant frequency, input acceleration and bending strain were measured.

摘要…………………………………………………………………….I
英文摘要……………………………………………………………….II
目錄…………………………………………………………………….III
圖目錄………………………………………………………………….IV
表目錄…………………………………………………………………..V
第一章 緒論1
1.1研究動機1
1.2文獻回顧2
1.3研究方式3
第二章 理論基礎5
2.1簡介5
2.2 等價同質體法5
2.3同質體之位移場7
2.4短纖複材之Eshelby's Tensor11
2.5等價同質體法推導勁度矩陣14
2.6 彈性模數的三維座標轉換19
2.7 等價同質體法與其他方法的比較22
第三章 短纖發泡混凝土試片的製作與測試25
3.1 簡介25
3.2 短纖發泡混凝土試體配比設計與模具製作26
3.3 短纖發泡混凝土試片的製作流程30
3.4 圓柱型混凝土試體應變計的黏貼與測試32
3.5圓柱型混凝土試體之MTS試驗結果35
3.6 纖維隨機分佈之短纖發泡混凝土複材彈性模數39
3.6.1 短纖發泡混凝土複材彈性模數與孔隙率的關係41
3.6.2 短纖發泡混凝土複材彈性模數與空孔縱橫比的關係44
3.6.3 短纖發泡混凝土複材彈性模數與纖維分佈角度關係46
3.7 短纖發泡混凝土複材彈性模數之探討50
第四章 短纖發泡混凝土結構之自然頻率分析51
4.1簡介51
4.2 短纖發泡混凝土結構之自然頻率模態模擬分析52
4.2.1 Free-Free B.C.的自然頻率模態模擬分析54
4.2.2 Clamp Plate B.C.的自然頻率模態模擬分析56
4.3 短纖發泡混凝土結構之自然頻率模態實驗量測58
4.4 短纖發泡混凝土結構之自然頻率實驗與模擬分析比較64
4.5 短纖發泡混凝土結構之自然頻率實驗與模擬誤差分析65
4.6 自然頻率實驗與模擬分析結果討論68
第五章 短纖發泡混凝土結構之振動阻尼損耗分率試驗69
5.1 簡介69
5.2 短纖發泡混凝土試片的振動位移量測-位移計70
5.3 資料擷取系統71
5.3.1 短纖發泡混凝土試片振動之位移-時間量測圖73
5.4 含阻尼之自由振動分析76
5.4.1 對數衰減(Logarithmic Decrement)80
5.4.2 阻尼比(damping ratio)81
5.4.3 阻尼係數82
5.4.4 阻尼損耗分率(damping loss ratio)82
5.5 結果討論85
第六章 結論與未來展望86
6.1 結論86
6.2 未來展望87
參考文獻88

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