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    Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/2841


    Title: 壓電耦合吸振器應用於旋轉樑之減振;Reducing Vibration of A Rotating Beam By Using The Coupled Piezoelectric Dynamic Absorbers
    Authors: 李光君;Kuang-Chun Lee
    Contributors: 機械工程研究所
    Keywords: 格勒金;旋轉樑;漢米爾頓;吸振器;Galerkin's method;Hamilton's principle;absorber
    Date: 2007-07-05
    Issue Date: 2009-09-21 11:57:47 (UTC+8)
    Publisher: 國立中央大學圖書館
    Abstract: 本文的主要目的為探討壓電耦合吸振器應用於旋轉雷立夫樑(Rayleigh’s beam)的減振效應。本文系統考慮兩端為簡支撐的旋轉雷立夫樑,樑上受到一簡諧外力激振,並假設外力頻率與樑轉動頻率相等。文中將壓電材料貼附於旋轉雷立夫樑表面上,並配合適當的電子元件如電感、電阻與電容,以及由一耦合之電子元件將兩個別不同之吸振電路結合,形成一對於系統具減振效果的壓電耦合吸振器裝置,因此當旋轉雷立夫樑受外力激振產生振動時,則即可用壓電耦合吸振器來抑制系統過大的振動量。 本文根據漢米爾頓定理(Hamilton’s principle)推導出旋轉雷立夫樑貼上壓電材料的系統運動方程式,並配合壓電吸振器的電路方程式形成一偏微分方程組,再利用格勒金法(Galerkin’s method)將系統運動方程式離散化,求出系統的位移解,並由數值結果加以分析討論,進而得知壓電耦合吸振器對系統減振特性。 傳統式壓電吸振器可作為減振之用,但其吸振頻率必須精準的相等於系統之共振頻率,在調整阻尼比後才可以達到減振的效果,於是為改善其缺點發展電阻耦合式壓電吸振器,但此類吸振頻率必須精準的對稱於系統之共振頻率,在增加阻尼比後才能達到減振的效果,故再經由改良後進而得到電感耦合式壓電吸振器,此形式之壓電吸振器只需調整吸振頻率與電感值達一適當小之值,增加阻尼比後即可對系統各共振頻率達到相當的減振的效果,其吸振效果優於傳統式壓電吸振器與電阻耦合式壓電吸振器,且不需精準的相等或者對稱於系統之共振頻率,在三類吸振器中最為實用。 The purpose of this thesis is to reduce the vibration of a rotating beam by using the coupled piezoelectric dynamic absorbers. A rotating Rayleigh beam with simply supported ends subject to an external harmonic force is considered. Piezoelectric coupling absorbers are attached to the surface of the beam. The frequency of the external harmonic force is chosen equal to the rotating frequency of the beam. Each absorber is made of two pieces of piezoelectric material connected to passive electric components. Two absorbers are further coupled via a resistor or an inductor. The equations of motion of the composite rotating beam are derived by Hamilton’s principle and decretized by Galerkin’s method. The dynamic responses of the beam subjected to the harmonic force are solved. Various designs of coupled piezoelectric absorbers are discussed in this thesis. The numerical results show that the coupled absorbers are effective for reducing the vibration of the rotating beam.
    Appears in Collections:[機械工程研究所] 博碩士論文

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