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研究生:李明志
研究生(外文):Ming-Jyh Lee
論文名稱:含壓電層樑之微結構動態分析與控制
論文名稱(外文):Dynamic Characterization and Control of Piezo-Layered Microstructures
指導教授:賴新一
指導教授(外文):H.Y. LAI
學位類別:碩士
校院名稱:國立成功大學
系所名稱:機械工程學系
學門:工程學門
學類:電資工程學類
論文種類:學術論文
畢業學年度:87
語文別:中文
論文頁數:82
中文關鍵詞:壓電微結構有限元素動態分析
外文關鍵詞:piezoelectricmicrostructurefinite elementdynamic analysis
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隨著機械產品的微小化,因機械本身運轉或是外界衝擊所造成的振動常對結構本身造成極大的傷害。由於結構的振動頻率隨著尺寸縮小而增加,振動控制的需求性也增加,又結構尺寸縮小,使得振動行為變為非線性,導致振動控制的難度增加了不少。因此探討微結構的振動與及時控制,可簡化振動控制避免進入非線性振動之領域。
由於壓電材料具有機電互換的能力,能量密度高,動作反應也快,且對環境敏感度較低等諸多優點,再加上壓電效應經微小化後會變得更有效率,故適合用來當作微結構感測與致動元件的材料。本文即以壓電陶瓷PZT作為致動器、壓電高分子材料PVDF作為感測器,兩者所組成之智慧型結構做為振動控制元件。
本文以一含壓電層樑之懸臂樑結構為例,經過尺寸分析求出微結構的設計尺寸,利用機電耦合的壓電理論,以有限元素法分析此結構受到移動基座的作用下,壓電感測器所得之電壓值,經放大回授加諸於致動器上,使結構振動振幅在短時間內降到最小的範圍,達到抑制振動的目的。結果證實本文所提出的壓電微結構之設計方法及其振動控制結果,切實可行。

Since mechanical products miniaturize in recent years, vibrations induced by their operations or impacts from the environment always bring them a lot of damage. The smaller the structure size is, the faster the vibration frequency of the structure is, and the importance of the vibration control increases. With the miniaturization of the structure size, the behavior of vibration becomes nonlinear,and the vibration control becomes more difficult. To invest the vibration of microstructures and real-time control can simplify the vibration control and avoids they to get into nonlinear vibration situation.
Because piezoelectric materials have the abilities of mechanical and electrical energy exchangeability, higher energy density, shorter reaction time, lower sensitivity to the environment, and the piezoelectric effects would be more efficient after structures miniaturize, they are suitable to be the materials of sensors and actuators of microstructures. We use PZT as the material of actuators and PVDF as the material of sensors for vibration control of microstructures in this paper.
This paper presents the design and analysis of the vibration control for a piezo-layered microstructures. Using the scaling analysis method to decide the size of the microstructure. When moving foundation acts on the microstructure the voltage measured from the piezoelectric sensor by F.E.M. will be amplify by a amplifilter,and then feedback to the piezoelectric actuators to restrict the vibrations in a short time.

第一章 緒論
1.1 研究動機******************..1
1.2 研究目的******************..2
1.3 研究方法*******************4
1.4 章節瀏覽*******************4
第二章 文獻回顧與研究流程
2.1文獻回顧*******************.6
2.1.1 壓電理論的研究***************6
2.1.2 壓電元件的應用***************7
2.1.3 壓電材料的研究**************..8
2.1.4 有限元素法的研究*************..9
2.1.5 振動控制的研究**************.10
2.2 基本假設******************.11
2.3研究流程*******************11
第三章 微壓電層樑之尺寸分析
3.1 承受機械負載之微結構設計準則****..******.14
3.2 承受機械負載之微結構最小設計尺寸******.16
3.3 承受機械負載之微結構其他物理量*******.19
3.4 壓電材料的尺寸效應*********.****21
第四章 微壓電層樑動態理論之建立與有限元素分析法
4.1 壓電材料的特性**************.*28
4.2 壓電材料之動態方程建模************29
4.3 變分法分析*****************.30
4.4 有限元素動態方程的建構******.*****34
第五章 微壓電層樑振動與控制理論之建立
5.1微壓電層樑之動態特性*************40
5.1.1振動理論與特性**************..40
5.1.2模態分析求解****************45
5.2微壓電層樑之振動控制 ************.47
5.2.1振動控制理論***************..48
5.2.2控制方程之達成***************51
第六章 實例分析與模擬
6.1 壓電雙膜片懸臂樑之數值驗證*********.55
6.1.1巨觀尺寸分析***************..55
6.1.2微觀尺寸分析****************59
6.2 含壓電層樑微結構之振動控制*********.60
6.2.1含壓電層樑微結構模態分析********.*61
6.2.2含壓電層樑微結構動態特性*********.68
6.2.3含壓電層樑微結構振動控制*********.68
第七章 總結與建議
7.1總結*********************77
7.2建議*********************78
參考資料********.***********..79

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