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研究生:蔡仲儒
研究生(外文):Chung-JuTSAI
論文名稱:部分貼附式壓電材料的複合曲樑之結構分析
論文名稱(外文):Structural Responses of Surface-Mounted Piezoeletric Curved Composite Beams
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:2010
畢業學年度:98
語文別:中文
論文頁數:92
中文關鍵詞:壓電材料曲樑
外文關鍵詞:piezoelectriccurved beam
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本文目的為探討具有部分貼附式壓電材料之複合材料曲樑的結構特性;複合材料樑與上下層貼上壓電材料薄片,構成部份貼附式壓電材料複合曲樑。
為了瞭解曲樑之力學行為,利用應力場、應變場、連續位移條件的關係推導出應變能公式,再以Hamilton's Principle求得運動方程式和邊界條件。
利用靜態結構方程式推導出位移場通解,並代入不同的邊界條件可獲得其位移場特解。
再施予不同附載之集中外力、電位差探討不同壓電片位置、壓電片長度與壓電片厚度對位移、應變及應力的影響。

A curved composited beam partially surface-mounted with piezoelectric material is considered in this paper. The curved beam element is based on Timoshenko beam theory. Then the strain energy and kinetic energy derived by the stress、strains and continuous displacement. Governing equations and boundary conditions are derived by Hamilton’s Principle.
General solutions of displacement field equations derived from the static structure. The constant of integration can be obtained by different boundary conditions .
The effects of location、length and thickness of the piezoelectric pair on deflection、strain-stress of the entire curved beam are investigated .

目錄
摘要......................................................I
Abstract.................................................II
誌謝.....................................................III
圖目錄....................................................X
符號說明..................................................XV
第一章 緒論.................................................1
§1-1 前言..................................................1
§1-2 研究目的..............................................2
§1-3 文獻回顧..............................................3
§1-4 架構流程..............................................5
§1-5 基本假設..............................................6
第二章 運動方程式...........................................7
§2-1 初始設定..............................................7
2-1-1 曲梁模型基本架構......................................7
2-1-2 位移場基本架構........................................8
§2-2應力場基本架構..........................................9
2-2-1 曲樑中心層應力場......................................9
2-2-2 壓電材料層應力場.....................................12
§2-3應變場和應變能.........................................13
2-3-1 基本設定............................................13
2-3-2 中心層應變架構.......................................14
2-3-3 中心層合應力與合應力偶矩..............................14
2-3-4 中心層應變能架構.....................................15
2-3-5 壓電材料層應變架構....................................16
2-3-6 壓電材料層合應力與合應力偶矩...........................17
2-3-7 壓電材料層應變能架構..................................17
2-3-8 整體應變能總合.......................................19
§2-4結構運動方程式及邊界條件................................20
§2-5接面應力..............................................24
第三章 靜態分析............................................24
§3-1靜態平衡..............................................24
3-1-1一三跨距靜態平衡方程式.................................24
3-1-2第二跨距靜態平衡方程式.................................30
§3-2整體結構響應...........................................41
第四章 模擬數據分析.........................................48
§4-1案例探討..............................................49
4-1-1 各參數值............................................49
4-1-2壓電材料PZT-5H.......................................49
4-1-3 T300/Al鋁基複合材料.................................49
§4-2外力作用下之探討.......................................50
4-2-1改變壓電片位置........................................51
4-2-1-1 w位移的變化......................................51
4-2-1-2應變分佈.........................................52
4-2-1-3應力分佈.........................................53
4-2-2改變壓電片長度........................................54
4-2-2-1 w位移的變化.....................................54
4-2-2-2應變分佈.........................................55
4-2-2-3應力分佈.........................................56
4-2-3改變壓電片厚度........................................57
4-2-3-1 w位移的變化.....................................57
4-2-3-2應變分佈.........................................58
4-2-3-3應力分佈.........................................59
§4-3電壓作用下之探討.......................................60
4-3-1改變壓電片位置........................................61
4-3-1-1 w位移的變化.....................................61
4-3-1-2應變分佈.........................................62
4-3-1-3應力分佈.........................................63
4-3-2改變壓電片長度........................................64
4-3-2-1 w位移的變化......................................64
4-3-2-2應變分佈.........................................65
4-3-2-3應力分佈.........................................66
4-3-3改變壓電片厚度........................................67
4-3-3-1 w位移的變化......................................67
4-3-3-2應變分佈.........................................68
4-3-3-3應力分佈.........................................69
§4-4接面應力..............................................70
4-4-1複合曲樑受1N外力,改變壓電片厚度之接面應力................70
4-4-2複合曲樑受1Volt電壓,改變壓電片厚度之接面應力.............71
§4-5改變複合材料纖維走向....................................72
4-5-1改變複合材料纖維走向受1N外力影響之位移...................72
4-5-2改變複合材料纖維走向受1Volt電壓影響之位移................73
4-5-3改變複合材料纖維走向受1N外力影響........................74
4-5-4改變複合材料纖維走向受1Volt電壓影響.....................75
第五章 結論與建議..........................................76
5-1結論...................................................76
5-2建議...................................................76
參考文獻..................................................77
附錄A.....................................................79
附錄B.....................................................82
附錄C.....................................................90
自述......................................................92
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