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研究生：	陳瑞堂 CHEN, RUI-TANG
論文名稱：	單邊貼有壓電材料之Timoshenko樑的充電裝置設計分析 Charging Device analysis on Timoshenko Beam with One Side Surface Mounted Piezoelectric Material
指導教授：	王榮泰 WANG, RONG-TAI
學位類別：	碩士 Master
系所名稱：	工學院 - 工程科學系 Department of Engineering Science
論文出版年：	2015
畢業學年度：	103
語文別：	中文
論文頁數：	63
中文關鍵詞：	壓電片、有限元素、濾波電容
外文關鍵詞：	Piezoelectric, finite element analysis, capacitive filter
相關次數：	點閱：60 下載：0
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本文目的為探討如何將一根Timoshenko懸臂樑上方貼附有壓電片之模型承受施加外力作用所產生之電能，以一個充電電路將電能有效儲存。首先以本文內所研發的有限元素於進行分析，並採用Newmark法於計算此根樑承受外力作用所呈現之動態行為。
此根樑承受動態外力作用，會產生機械能轉換電能之行為，並且索產生的電能為一交流電，因此於本文內將設計一組充電電路，將產生的電能經過整流濾波後並儲存。接著探討施加不同外力形式下，不同的濾波電容及儲存電容對充電時間影響。

The purpose of this thesis is to design an electric network for storing electrical energy generated by the cantilevered piezoelectric Timoshenko beam due to external excitations. In the network design, electrical power will be stored after the rectifier filter. The effects of different storage capacitors and filter capacitors on the charging time will be discussed.
Keywords: Electric network, Piezoelectric Timoshenko beam, Capacitors, Filter.

中文摘要	II
Extend Abstract	III
致謝    IX
目錄	X
圖目錄	XIII
表目錄	XVI
第一章緒論	1
1-1研究動機	1
1-2研究目的	2
1-3文獻探討	3
1-4 論文架構	6
第二章 系統之運動方程式	7
2-1壓電原理簡介	7
2-2運動方程式	12
2-2-1研究模型設定	12
2-2-2 位移函數	13
2-2-3 壓電材料本構方程式	14
2-2-4 壓電材料應力與應變、應變能、動能	16
2-2-5  樑位移、轉角、應力、應變、應變能	18
2-2-6結構運動方程式及邊界條件	19
2-3有限元素法分析(Finite Element Method)	22
2-3-1靜態平衡方程式	22
2-3-2單位元素之質量與勁度矩陣	26
2-3-3單位元素矩陣堆疊	28
2-3-4整體結構之自然振動頻率(Natural Frequency)	30
2-4 Newmark's Integration method   	31
2-4-1模擬結構震動情形	31
第三章 壓電能量擷取電路設計	33
3-1電路模型	33
3-2整流電路	34
3-2-1 半波整流電路(Half-wave-rectifier Circuit)	34
3-2-2 橋式整流電路(Bridge-rectifier Circuit)	35
3-2-3 本節結論	37
3-3 濾波電路	38
3-4分析電壓輸出情形	43
第四章模擬數據分析	45
4-1材料設定	45
4-1-1 有限元素法自然頻率	46
4-1-2 模型結構	47
4-2 模擬結果與討論	48
4-2-1 F=200N 在t=0時	48
4-2-2 F(t)=200sin(ωt)N 	53
第五章 結論與未來展望	58
參考文獻	60
附錄A	62
附錄Ｂ	63

                                    

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