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研究生:吳尚軒
研究生(外文):Shang-Shiuan Wu
論文名稱:具有貼附式壓電材料的複合曲樑受熱-負載-電壓作用之結構分析
論文名稱(外文):Structural Analysis of a Curved Composite Beam Surface-Mounted with Piezoelectric Material under the Thermal Load and Voltage Effect
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:2009
畢業學年度:97
語文別:中文
論文頁數:98
中文關鍵詞:運動方程式靜態結構方程式貼附式曲樑複合材料壓電材料
外文關鍵詞:Curved beamCompositePiezoelectric
相關次數:
  • 被引用被引用:1
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本文目的為探討具有貼附式壓電材料之複合材料曲樑的結構特性;此結構上層與下層為壓電材料薄片,中間層為堆疊六層之複合材料,總合構成一曲樑。
為了瞭解曲樑之力學行為,利用應力場、應變場、連續位移條件與溫度分佈公式的關係推導出應變能和動能公式,再以Hamilton’s Principle求得運動方程式(governing equations)和邊界條件(boundary conditions)。
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以後獲得其位移場特解。
再代入不同負載之集中外力、溫差與電位差以求得曲樑的應力與應變的分佈情形,進而加以比較分析。
A curved composite beam surface-mounted with piezoelectric material is considered in this paper. The curved beam element is based on Timoshenko beam theory. The mathematical model is based on a continuous displacement conditions piezoelectric field and temperature distribution formula. Then the strain energy and kinetic energy derived by the stress and the strain. Governing equations and boundary conditions are derived by Hamilton's Principle.
General solution of displacement field equations derived from the static structure. General solution can obtain special solutions constant by different boundary conditions. In the role of external force, temperature and potential difference, Stress and strain distribution can be obtained.
摘要 I
Abstract II
誌謝 III
目錄 IV
圖目錄 IX
符號說明 XV
第一章緒論 1
§1-1 前言 1
§1-2 文獻回顧 3
§1-3 論文架構 7
第二章研究架構 8
§2-1 架構流程 8
§2-2 基本假設 9
第三章運動方程式 10
§3-1 初始設定 10
*3-1-1 曲梁模型基本架構 10
*3-1-2 位移場基本架構 11
§3-2 溫度分佈與熱傳設定 12
§3-3 應力場 14
*3-3-1 曲樑中心層應力場 14
*3-3-2 壓電材料層應力場 18
§3-4應變場和應變能 20
*3-4-1 基本設定 20
*3-4-2 中心層應變架構 21
*3-4-3 中心層應力與力偶矩 21
*3-4-4 中心層應變能架構 23
*3-4-5 壓電材料層應變架構 23
*3-4-6 壓電材料層應力與力偶矩 24
*3-4-7 壓電材料層應變能架構 25
*3-4-8 整體應變能總合 26
§3-5利用Hamilton’s Principle推導運動方程式 28
*3-5-1變分運算 28
*3-5-2 運動方程式整理 30
第四章結構分析 31
§4-1靜態平衡 31
§4-2位移函數通解 33
*4-2-1 通解PartI 33
*4-2-2 通解PartII 34
§4-3邊界條件型式 36
第五章模擬數據分析 39
§5-1 模型參數設定 39
*5-1-1 壓電材料PZT-5H 39
*5-1-2 T300/Al鋁基複合材料 40
§5-2 複合材料層之應力應變分佈 41
*5-2-1 纖維角度[0/0/0]s.之應力應變 42
*5-2-2 纖維角度[90/90/90]s.之應力應變 51
*5-2-3 纖維角度[60/45/30]s.之應力應變 63
§5-3 曲樑壓電層與複材層最大應力應變表 75
*5-3-1 纖維角度[0/0/0]s.各方向最大應力應變表 75
*5-3-2 纖維角度[90/90/90]s各方向最大應力應變表 78
*5-3-3 纖維角度[60/45/30]s各方向最大應力應變表 81
§5-4 應力與應變分佈總結 84
第六章總結與建議 87
§6-1結論 87
§6-2建議 89
參考文獻 90
附錄A 93
附錄B 94
附錄C 96
自述 98
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