| 研究生: |
洪佑岡 Hung, Yu-Kang |
|---|---|
| 論文名稱: |
利用反共振機制抑制樑振動行為之分析 Vibration reduction of beams using antiresonance mechanism |
| 指導教授: |
陳蓉珊
Chen, Jung-Shan |
| 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: | 2014 |
| 畢業學年度: | 101 |
| 語文別: | 英文 |
| 論文頁數: | 76 |
| 中文關鍵詞: | 反共振效應 、減震 、暫態反應 |
| 外文關鍵詞: | Antiresonance Effect, Vibration Reduction, Explicit Response |
| 相關次數: | 點閱:106 下載:10 |
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本論文的研究目的在討論利用反共振機制抑制樑振動之行為分析,由先前的研究發現裝置合適諧振器之樑可以有效降低於特定頻率下外力所造成之振幅。由二維質量彈黃振動系統之運動方程式可以用來近似並模擬裝有諧振器之樑之振動行為,並推出當激發反共振效應時樑之位移方程式。
本論文主要以實驗去論證裝置諧振器之樑之振動行為,透過振動器激發出樑之反共振頻率並擷取訊號進行分析,進而討論反共振效應對於處於共振狀態下之樑之效應。利用有限元素法模擬樑之振動行為,模擬外力的衝擊並激發反共振效應時暫態與穩態的反應結果,另與實驗做驗證。另兩個重點討論在於裝置不同質量比重之諧振器對於樑共振頻率之影響,以及裝置不同個數之諧振器對於樑共振時振幅之影響。均透過理論、模擬以及實驗去驗證其正確性。
A method for reducing the vibration of a beam using the antiresonance effect is presented. It is found that a beam with appropriate resonators consisting of a combination of spring and mass may reduce external excitation at certain frequencies effectively. A simple two degree of freedom system contain of an absorber mass that is connected by springs to a drive mass is discussed and demonstrated to display the vibration behaviour of a beam with resonators.
The finite element method is used to simulate the vibration behaviour of the present beam. A transient response is a mode that immediately displays the behaviour of a beam subject to external excitation. To demonstrate the validity of FE results, experiments were performed. Another focus of this study is to investigate the relation between the mass ratio and the location of the resonance frequency and the relation between the numbers of unit cells and the effect of vibration reduction. The unit numbers eight, twelve and eighteen were chosen as cases for comparison.
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