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Student Number 92323016
Author Shiau-Shr Shiuan(蕭詩旋)
Author's Email Address 92323016@cc.ncu.edu.tw
Statistics This thesis had been viewed 1415 times. Download 787 times.
Department Mechanical Engineering
Year 2004
Semester 2
Degree Master
Type of Document Master's Thesis
Language zh-TW.Big5 Chinese
Title DESIGN OF PIEZOELECTRIC ABSORBERS FOR REDUCING VIBRATION OF ROTATING RAYLEIGH BEAM
Date of Defense 2005-07-06
Page Count 93
Keyword
  • piezoelectric absorber
  • rotating Rayleigh beam
  • Abstract The purpose of this thesis was to use the piezoelectric absorber for reducing the vibration of dynamics of a rotating Rayleigh beam. The general model was a rotating Rayleigh beam with simply supported ends subject to the external harmonic force. The beam was bonded on the surface with piezoelectric absorbers. It was assumed that the frequency of the external harmonic force was equal to the rotating frequency of the beam. Because piezoelectric material was shunted with a resistor and an inductor was similar to a mechanical vibration absorber, this type of piezoelectric absorbers could reduce the large vibration of rotating system.
    The equations of motion of the composite rotating beam were derived by Hamilton’s principle and decretized by Galerkin’s method. The dynamic response of the beam subjected to the harmonic force was solved. Various designs of the absorbers were discussed in this thesis. The numerical results show that the absorbers are effective for reducing the vibration of the rotating beam.
    Table of Content 第一章 緒論……………………………………………………………1
    1.1 研究動機………………………………………………………1
    1.2 文獻回顧………………………………………………………2
    1.3 內容架構………………………………………………………4
    第二章 系統運動方程式………………………………………………5
    2.1 壓電材料理論…………………………………………………5
    2.1-1 壓電現象…………………………………………………5
    2.1-2 壓電材料種類……………………………………………6
    2.1-3 壓電材料性質……………………………………………7
    2.2 系統運動方程式之推導………………………………………7
    2.2-1 基本假設…………………………………………………7
    2.2-2 漢米爾頓定理與系統動能、位能、外力功……………8
    2.2-3 運動方程式………………………………………………13
    2.3 壓電吸振器電路方程式之推導………………………………16
    第三章 運動方程式近似解……………………………………………20
    3.1 運動方程式離散化……………………………………………20
    3.2 運動方程式位移響應…………………………………………24
    第四章 數值結果討論…………………………………………………25
    4.1 系統參數設定…………………………………………………25
    4.2 自然頻率與零界轉速分析……………………………………25
    4.2-1 原始系統自然頻率與臨界轉速分析……………………26
    4.2-2 複合系統自然頻率與臨界轉速分析……………………28
    4.3 系統受外力激振之位移解……………………………………29
    4.3-1 單向外力…………………………………………….……30
    4.3-2 雙向外力………………………………………………….31
    4.4 調變壓電吸振器參數對系統之減振影響……………………33
    4.4-1 調變壓電吸振器阻尼比對系統之減振影響……………34
    4.4-2 調變壓電吸振器頻率對系統之減振影響………………35
    4.5 改變吸振器貼附在旋轉樑上的位置對減振影響……………36
    4.5-1 改變壓電吸振器在y-z平面上角度對系統的减振影響
        ……………………………………………………………36
    4.5-2 改變壓電吸振器位置對系統之減振影響………………37
    4.6壓電吸振器同時對第一、二模態兩向前進動共振頻率之幅值減振影 響………………………………………………………39
    4.7多組壓電吸振器對系統受單向外力激振下不同模態的減振影
       響………………………………………………………………41
    第五章 結論與未來建議……………………………………………46
    5.1 結論整理……………………………………………………46
    5.2 未來建議……………………………………………………49
    參考文獻………………………………………………………………50
    作者簡介………………………………………………………………72
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    Advisor
  • Yii-Mei Huang(黃以玫)
  • Files
  • 92323016.pdf
  • approve immediately
    Date of Submission 2005-07-08

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