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系統識別號 U0026-2601201914402700
論文名稱(中文) 移動負載下之三明治壓電複合板振動分析
論文名稱(英文) Vibration Analysis of Sandwich Piezoelectric Plate under Moving Load
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 107
學期 1
出版年 108
研究生(中文) 廖偉智
研究生(英文) Wei-Zhi Liao
學號 N96041224
學位類別 碩士
語文別 中文
論文頁數 62頁
口試委員 指導教授-王榮泰
口試委員-陳蓉珊
口試委員-潘文峰
中文關鍵字 移動負載  三明治壓電複合板  位移與電壓 
英文關鍵字 Moving load  Sandwich Piezoelectric Mindlin Plate  Displacement and Voltage 
學科別分類
中文摘要 　　本文研究目的為探討一塊壓電三明治Mindlin Plate的動態響應，此三明治板結構的上下層為鋁合金板，中間為壓電材料(PZT-5H)。
　　本文經由Mindlin Plate理論，計算出結構的應力、應變，再藉由應力、應變推算出動能及應變能方程式。通過邊界條件以及形狀函數計算出運動方程式，再以Hamilton’s Principle 理論計算出壓電三明治之統馭方程式，應用解析法於求出壓電複合板之模態頻率。
　　施加一個集中型移動負載於結構上，獲得其位移與電壓，並探討改變移動負載的速度對於位移與電壓的影響。
英文摘要 The purpose of this paper is to investigate the dynamic response of a piezoelectric sandwich Mindlin Plate. The upper and lower layers of the sandwich plate structure are aluminum alloy plates with piezoelectric material (PZT-5H) in the middle.
The stresses and strains of the structure in this paper are calculated via the Mindlin plate theory. The kinetic energy and strain energy are derived by stress and strain. The governing equations of the piezoelectric sandwich plate are derived by Performing Hamilton's Principle. The modal frequencies of the piezoelectric composite plate are obtained by analytic method.
Applying a concentrated moving load on the structure obtain the displacement of the plate and the voltage on the piezoelectric layer. The velocity effect on the displacement and voltage is investigated in the thesis.
論文目次 目　錄
摘要……………………………………………………………………………...I
英文摘要………………………………………………………………………..II
誌謝…………………………………………………………………………...VII
目錄………………………………………………………………………….VIII
圖目錄……………………………………………………………………...….XI
表目錄……………………………………………………………………….XIII
第一章 緒論……………………………………………………………………1
1-1 前言……………………………………………………………………1
1-2 文獻回顧………………………………………………………………3
1-3 本文大綱………………………………………………………………6
第二章 研究架構………………………………………………………………7
2-1 研究流程………………………………………………………………7
2-2 基本假設………………………………………………………………7
第三章 壓電複合板之運動方程式……………………………………………8
3-1 研究模型設定…………………………………………………………8
3-2 鋁板位移函數…………………………………………………………9
3-3壓電板位移函數……………………………………………………...10
3-4 鋁板之動能與應變能………………………………………………..14
3-5壓電板之動能與電焓………………………………………………...16
3-6 壓電複合板之運動方程式…………………………………………..17
第四章 壓電複合板之振動分析……………………………………………..19
4-1 邊界條件……………………………………………………………..19
4-2 自由震動……………………………………………………………..20
4-3 強迫振動……………………………………………………………..25
4-4 移動負載作用………………………………………………………..28
第五章 研究數據分析與討論…………………………………………..……29
5-1 材料設定……………………………………………………………..29
5-2 振動分析……………………………………………………………..30
5-2-1 自由震動……………………………………………………....30
5-2-2 強迫振動………………………………………………………31
5-3 位移與時間之關係………………………………………………......31
5-3-1 不同速度下位移與時間之關係……………………………....31
5-3-2 速度與位移之比較……………………………………………38
5-4 電壓與時間之關係…………………………………………………..42
5-4-1 不同速度下電壓與時間之關係………...…………………….42
5-4-2 速度與電壓之比較……………………………………………47
第六章 總結…………………………………………………………….…….51
6-1 結論…………………………………………………………………..51
6-2 未來展望……………………………………………………………..52
參考文獻………………………………………………………………………53
附錄……………………………………………………………………………57
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