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研究生:林祐毅
研究生(外文):Yo-YiLin
論文名稱:黏著劑效應於複合材料樑表面貼附壓電片之動態響應研究
論文名稱(外文):Study of bonding layer effect on dynamic response of composite beam with surface mounted piezoelectric material
指導教授:王榮泰
指導教授(外文):Rong-Tyai Wang
學位類別:碩士
校院名稱:國立成功大學
系所名稱:工程科學系碩博士班
學門:工程學門
學類:綜合工程學類
論文種類:學術論文
論文出版年:2012
畢業學年度:100
語文別:中文
論文頁數:96
中文關鍵詞:壓電材料複合材料膠黏劑自由振動強迫振動
外文關鍵詞:Piezoelectriccompsite materialbonding layerfree vibrationforce vibration
相關次數:
  • 被引用被引用:1
  • 點閱點閱:430
  • 評分評分:
  • 下載下載:55
  • 收藏至我的研究室書目清單書目收藏:0
本文主要探討黏著劑對於複合材料樑表面貼附壓電片之動態分析,基於Timoshenko樑理論,不考慮阻尼、溫度效應下,將樑結構分成三個跨距,利用位移場推導出應變與應力的關係和動量,由漢米爾頓定理可得運動方程式,以模態分析法求得整體樑的自然頻率以及其對應的模態形狀函數,其中第一三跨距皆為複合材料結構,第二跨距部分分成有無添加黏著劑(或稱膠黏劑)兩種形式,無添加膠黏劑部分為三層以壓電材料-複合材料-壓電材料所組成的三明治結構,而有添加膠黏劑部分為五層以壓電材料-膠黏劑-複合材料-膠黏劑-壓電材料所組成的三明治結構,將兩種不同形式的樑個別計算,由模態形狀函數的正交性與模態疊加法可求得所有位移函數,使用的運算軟體為Mathematica數學運算軟體,最後再帶入模擬數據,在不同的幾何條件,如第一跨距長度、第二跨距長度、膠黏層厚度、複合材料纖維角度和壓電層厚度下,模擬受一激振外力作用,其添加膠黏劑之效應與整體樑的動態響應,並提出結論與建議。
The purpose of this thesis is the study of the bonding layer effect on dynamic response of composite beam with surface mounted piezoelectric material, based on the Timoshenko beam theory without considering the damping and temperature effects. The structure is divided into three spans; the use of the displacement field is deduced from the relationship between strain, stress and momentum. The equation of motion by Hamilton’s principle uses the modal analysis to obtain the natural frequency and its corresponding mode shape functions, where the first and third spans are composite structures. The second span section is divided into two forms, with and without a bonding layer; the sandwich structure without a bonding layer is made up of piezoelectric materials and composite materials while the other one is made up of piezoelectric materials, adhesives and composites. Calculations are done in two different forms, the solution of displacement functions of beams using orthogonally modal shape functions and the expansion theorem using the mathematical computing software. Finally, there is the analog data in a variety of geometric conditions, such as the length of the first and second span, the thickness of the bonding layer, the composite fiber angle and the thickness of the piezoelectric layer simulated by a vibrating external force. Analyze the dynamic response of beams with and without bonding layer, and propose the conclusions and suggestions.
摘要 I
Abstract II
致謝 III
目錄 IV
表目錄 VII
圖目錄 IX
第一章 緒論 1
1-1前言 1
1-2研究動機與目的 2
1-3文獻探討 3
1-4 本文架構 5
第二章 理論架構 6
2-1簡介 6
2-2初始設定 7
2-2-1樑的基本設定 7
2-2-2無膠黏劑樑之位移場設定 9
2-2-3有膠黏劑樑之位移場設定 10
2-3應力應變分析 13
2-3-1複合材料層應力應變分析 13
2-3-2 壓電片應力應變分析 15
2-3-3 膠黏劑應力應變分析 17
2-3-4應變能與動能 20
2-4動態分析 22
2-4-1運動方程式 22
2-4-2各跨距之運動方程式 25
2-4-3各跨距之邊界條件 27
第三章 研究方法及內容 29
3-1自由振動 29
3-1-1求解一三跨距運動方程式 29
3-1-2求解無膠黏層樑第二跨距運動方程式 31
3-1-3求解有膠黏層樑第二跨距聯立微分方程式 36
3-1-4求解自然頻率 43
3-2強迫振動 46
3-2-1外力形式 46
3-2-2求解無膠黏層樑位移函數 46
3-2-3求解有膠黏層樑位移函數 48
第四章 案例探討與模擬數據分析 51
4-1案例探討自由振動 51
4-1-1 材料基本參數 51
4-1-2整體懸臂樑自然頻率與模態圖 53
4-2案例探討強迫振動 56
4-2-1改變複合材料疊層角度變化影響 56
4-2-2改變壓電層厚度變化影響 59
4-2-3添加膠黏劑變化影響 62
4-2-4改變第一跨距長度變化影響 64
4-2-5改變第二跨距長度變化影響 67
第五章 結論與建議 70
5-1結論 70
5-2未來研究方向與建議 71
參考文獻 72
附錄A 76
附錄B 79
附錄C 83
附錄D 90

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