減振在工業上扮演一個極重要的角色，不管是定點加上減振器的效果或是多個減振器對同一振動主體所產生的減振效果皆被廣泛的研究，本研究係研究一種簡單、成本低、易被工程業界使用的被動減振方式。吾人將以一厚度為10公厘之平板假設為主體，並以彈性介質為中間減振介質連接一平板或薄膜做為其減振器，利用ANSYS及衝擊錘實驗求得主體之頻率響應並互相比對。藉此來找出主體之自然振頻，並在其振頻範圍附近進行實驗，以實際模擬其減振效果。吾人將利用實驗實做方法量測出其振幅，以不同之彈性介質重複實驗，藉此來找出最佳介質材料及介質形狀。

Vibration can affect the stability of a structure, and constant vibration can lead to fatigue and structure damage. Vibration damping methods  can roughly be divided into two types: active and passive. Generally speaking, active damping is the most effective approach to vibration damping; however, most conventional machine tools vibrate in the vertical direction, which is best dealt with using a tuned-mass damper comprising a mass and one or more spring. This study proposed a novel concept for vibration mitigation on an elastic medium dual-plate system. In this research, a 10 millimeter plate served as a main body and using the elastic medium as vibration dampers, another plate or membrane was connected with the damper to construct a plate-damper-plate (membrane) passive vibration reduction system. The natural frequency of the main plate was obtained by using the “Impact hammer” experimental method. These result were verified by using theoretical prediction and the ANSYS analysis. 4 kinds of elastic medium dampers were considered in this study. Each damper was connected with the main plate and the other side was attached with another plate or membrane, respectively. The experiments of measuring their vibration amplitudes were carried out by using laser displacement transducer. Another 3 kinds geometric shapes of elastic medium dampers were also considered in this study to find the optimum combination of the passive damping system. We found that the firmer the elastic medium, the better the damping effects. The closed and with cross shape elastic medium damper showed the best damping effect compare with other combination. Experiments verify the efficacy of the proposed novel device in improving damping performance beyond what has been achieved using conventional devices. We also provide an explanation of the theoretical underpinnings of the design as well as the implications of these findings with regard to future developments.

目錄
摘要 I
英文摘要 II
目錄 III
圖表目錄 V
第一章緒論 1
    一、1 研究動機 1
    一、2 文獻回顧 2
    一、3 研究方法 6
第二章 雙層剛體平板與中間彈性介質夾層系統概述 8
    二、1 研究模型及複合式系統介紹 8
二、2 實驗流程簡介 8
第三章 振動系統之實驗設計及實驗程序 10 
    三、1.1實驗之理論校驗 10
    三、1.2理論與ANSYS之驗證 14
    三、2實驗程序 15
第四章 實驗設計與分析 16
     四、一 原型主體之振動頻率量測 16
     四、二 附加不同彈性減振器之分析 17
     四、三 主體中間置入不同彈性介質之振動分析 17
第五章 結果與討論 19 
第六章 結論 25
參考文獻 27
 
圖表目錄
表3.1    頻率之實驗與模擬比較列表 11
表3.2    頻率之數值與模擬值比較列表 14
表4.1    各種海綿之楊式彈性模數列表 37
表5.1    兩種減振器之波峰振幅比較表 46
表5.2    兩種下層平板厚度之波峰振幅比較表 46
圖2.1    長150公厘，寬120公厘，高為10公厘平板 29
圖2.2    長150公厘，寬120公厘，高為1公厘平板 29
圖2.3    長150公厘，寬120公厘，高為3公厘薄膜 30
圖2.4    C型夾具設計圖 30
圖2.5    四端彈簧與C型夾具 31
圖2.6    四端彈簧與C型夾具俯視圖 31
圖2.7    複合式振動系統概念圖 32
圖2.8   複合式振動系統實體圖 33
圖2.9   複合式振動系統實體俯視圖 33
圖3.1    影像截圖法之各模態頻率圖 12
圖3.2    ANSYS模態頻率圖 13
圖3.3    振動器 34
圖3.4    雷射位移器 34
圖3.5   電源供應器 35
圖3.6   訊號放大器 35
圖3.7   實驗流程圖 36
圖4.1    ANSYS中之主體 38
圖4.2    四邊口字型 38
圖4.3    對角線X型 39
圖4.4    四邊加上十字的田字型 39
圖5.1    單一主體平板之頻率響應 40
圖5.2    單一主體平板之頻率模擬值 40
圖5.3    四種減振介質與一公厘平板為減振器之振幅圖 41
圖5.4    四種海綿與零點三公厘平板為減振器之振幅圖 41
圖5.5    四種海綿與零點三公厘薄膜為減振器之振幅圖 42
圖5.6    雙層主體平板(10mm-10mm)之頻率響應圖 42
圖5.7    雙層主體平板(10mm-10mm)之頻率模擬值 43
圖5.8    四種減振介質於雙層平板主體(10mm-10mm)之振幅圖 43
圖5.9    雙層主體平板(10mm-1mm)之頻率響應圖 44
圖5.10    雙層主體平板(10mm-1mm)之頻率模擬值 44
圖5.11    四種減振介質於雙層平板主體(10mm-1mm)之振幅圖 45
圖5.12    四種幾何圖形彈性介質於雙層平板主體之振幅圖 45

[1] Z. Oniszczuk, “Transverse vibrations of elastically connected double-string complex system. Part I : free vibrations,” Journal of  Sound and Vibration, vol. 232, 2000,pp.355-366.
[2] Z. Oniszczuk, “Transverse vibrations of elastically connected double-string complex system. Part II : forced vibrations,” Journal of  Sound  and Vibration, vol. 232, 2000,pp.367-386
[3] Z. Oniszczuk, “Transverse vibrations of elastically connected rectangular double-membrane compound system,” Journal of sound and vibration, vol.221, 1999, pp.235-250.
[4] Z.Oniszczuk, “Free transverse vibrations of elastically connected simply supported double-beam complex system,” Journal of sound and vibration, vol.232, 2000, pp.387-403.
[5] Z.Oniszczuk, “Free transverse vibration of an elastically connected rectangular simply supported double-plate complex system,” Journal of sound and vibration,vol.236, 1999, pp.595-608
[6] S. Kukla, “free vibration of a system of two elastically connected rectangular plates” Journal of sound and vibration, vol.225, 1998, pp.29-39.
[7]  M. Soula, R. Nasri, A. Ghazel and Y. Chevalier, “The effects of kinematic model approximations on natural frequencies and model damping of laminated composite plates” Journal of sound and  vibration,vol . 297, 2006,pp.315-328.
[8]  A. Sodano Henry, “Non-contact vibration control system employing an active eddy current damper,” Journal of sound and vibration, vol.305, 2007, pp.596-613.
[9]  K.H. Low, G.B. Chai, T.M. Lim and S.C. Sue, “Comparisons of experiment for rectangular plates with various boundary conditions and added masses,” Journal of sound and vibration, vol.40, 1997,No.11,pp.1119-1131.
[10] A.W. Liessa, “The free vibration of rectangular plates” Journalof sound and vibration, vol.31, 1973, pp.257-293.
[11] Y. R. Wang, and M. H. Chang, “On The Vibration Reduction of a Nonlinear Support Base with Dual-shock-absorbers,” Journal of Aeronautics, Astronautics and Aviation, Series A, Vol.42, No.3, 2010, pp.179-190.
[12] Y. R. Wang, and H. S. Lin, “Stability analysis and vibration reduction for a two -dimensional nonlinear system,” International Journal of Structural Stability and Dynamics (IJSSD), Vol.13, No.5, 2013. pp.1350031-1~1350031-30.
[13] Y. R. Wang, and C. M. Chang, “Elastic beam with nonlinear suspension and a dynamic vibration absorber at the free end,” Transaction of the Canadian Society for Mechanical Engineering (TCSME), Vol38, No1, 2014. pp.107-137.
[14] 王怡仁、陳書緯,“位置可調式之單質點減振器對於振動機構減振效能之研究”,淡江大學航空太空工程學系碩士班碩士論文,中華民國一百年六月.
[15]  R. Szilard, The theory and analysis of plates : classical and numerical methods, Prentice Hall, 1974.
[16]  MacKichan Software, scientific workplace 5.5, 2009.