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系統識別號 U0026-0808201623241800
論文名稱(中文) 單邊貼附壓電片複合材料樑受移動負載效應之動態分析
論文名稱(英文) Dynamic Analysis of a Composite Beam with One-Sided Surface Mounted Piezoelectric Material under the Moving Load Effect
校院名稱 成功大學
系所名稱(中) 工程科學系
系所名稱(英) Department of Engineering Science
學年度 104
學期 2
出版年 105
研究生(中文) 賴逸丞
研究生(英文) Yi-Cheng Lai
學號 p46031246
學位類別 碩士
語文別 中文
論文頁數 79頁
口試委員 指導教授-王榮泰
口試委員-周榮華
口試委員-潘文峰
口試委員-陳蓉珊
中文關鍵字 壓電片  Timoshenko樑  複合材料  移動負載 
英文關鍵字 Piezoelectric sheet  Timoshenko beam  Composite material  Moving load 
學科別分類
中文摘要 本文目的為探討單邊貼附有壓電片複合材料樑之動態分析,基於Timoshenko樑理論,將壓電材料貼附在懸臂樑結構下方,採用模態法計算壓電懸臂樑的自然頻率變化並探討此結構受移動負載之動態響應。
將此單邊貼附有壓電材料直樑結構分為三個跨距討論,第二跨距中心為複合材料下方貼附一層壓電片,第一與第三跨距樑皆為複合材料結構;為了解此結構樑之力學行為,以應力場和應變場推導出應變能與動能,由漢米爾頓原理得出結構樑之運動方程式及邊界條件。
模態法則是將運動方程式中的雙變數函數轉換為兩個單變數函數求解出位移函數,配合邊界條件計算出力場函數,進而求解結構自然頻率。
動態分析則是以模態法作為基礎,在暫態外力裡加入速度效應,速度值將會影響結構動態行為,探討不同暫態外力速度施加於結構時,不同的結構幾何條件對整體樑的自由端位移變化以及壓電片輸出電荷情形。
英文摘要 The purpose of this thesis is to study the dynamic responses of a composite beam, which has a piezoelectric sheet mounted on the bottom surface, under the moving load effect. The Timoshenko theory is adopted in this study. The composite beam is regarded as a three-span beam and each span has top and bottom components. The lower layer of the second span is a piezoelectric material. All the other parts are composite material. The total electric enthalpy and kinetic energy of the entire beam are obtained with displacements, stresses and strains. The governing equations and the corresponding boundary condition are derived via by Hamilton’s principle. The method of modal analysis is presented to obtain the dynamic responses of the entire beam induced by a load moving on the beam. The effects of traveling velocity of the load and the geometric parameters of the beam on both histories of the displacement of the beam and the electric charge accumulation on the piezoelectric surfaces are investigated.
論文目次 目錄
摘要 I
EXTENDED ABSTRACT II
誌謝 VII
目錄 VIII
表目錄 XII
圖目錄 XV
第一章緒論 1
1-1研究動機及目的 1
1-2文獻探討 3
1-3論文架構 5
第二章 研究架構 6
2-1 研究流程 6
2-2 本文基本假設 7
第三章 研究方法及內容 8
3-1 運動方程式 8
3-1-1研究模型設定 8
3-1-2 位移函數 9
3-1-3 壓電材料基本參數 10
3-1-4 壓電材料層之應力、應變、應變能、動能 12
3-1-5 複合材料基本參數 14
3-1-6 複合材料層之應力、應變、應變能、動能 18
3-1-7 結構運動方程式及邊界條件 19
3-2 模態法分析 23
3-2-1 將運動方程式改寫,雙變數函數轉換為兩個單變數函數 23
3-2-2 解聯立方程式求解位移函數及應力場函數 24
3-2-3 結構之自然頻率 30
3-2-4 移動負載作用下結構之動態響應 31
第四章 案例探討與模擬數據分析 35
4-1案例探討 35
4-1-1 材料基本參數 35
4-1-2 整體懸臂樑之自然頻率與模態圖 36
4-1-3 改變複合材料疊層角度變化影響 37
4-1-4改變壓電材料幾何條件變化影響 39
4-2 整體結構樑受移動負載效應之動態分析 42
4-2-1負載之移動速度對於結構自由端位移之比較 43
4-2-2負載之移動速度對於壓電片所收集電荷量之比較 45
4-2-3固定移動負載速度對於結構自由端位移與收集電荷量之比較 47
4-2-4 臨界速度下對於結構自由端位移極值之比較 51
4-2-5 臨界速度下對於壓電片收集電荷量極值之比較 55
第五章 結論與建議 59
5-1結論 59
5-2 建議 61
參考文獻 62
Appendix A 64
Appendix B 65
Appendix C 73
Appendix D 77
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