非線性支撐基座之減振研究

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Title:	非線性支撐基座之減振研究
Other Titles:	The Vibration and Stability Analysis of A Rigid Plate Deck with Nonlinear Isolations
Authors:	王怡仁;Wang, Yi-Ren;陳志彥;Chen, Ji-Van
Contributors:	淡江大學航空太空工程學系
Keywords:	光碟機;振動;減振器;非線性;CD-ROM;Vibration;Absorber;Nonlinear;Stability
Date:	2010-11
Issue Date:	2011-08-07 15:04:48 (UTC+8)
Publisher:	淡江大學航空太空工程學系
Abstract:	一般減振設計，以改變減振器之質量或直接在基座支撐點使用減振材料使其具有減振效果。但如此之設計，因應不同的系統需要不同的減振器，這樣將大大增加成本。在本研究中，我們將使用一種更符合經濟成本，且在不改變減振器材料及更動大部分架構的方式之下，僅以改變減振器位置的方法來達到減振與穩定的效果。本研究將基座四個角落的彈性係數與阻尼條數作非線性化假設，並加入二個獨立之點質量減振器，以多時間尺度法(Multiple Scales) 求其穩態固定點(Fixed Points) 的頻率愈響應和解析解，再以系統特徵值，判斷系統之穩定性，並以相位圖數值解與解析解加以對照佐證此模式及結果的正確性，其成果能對相關產業作為測試、設計之參考。 In this research, an optimized position of a set of 2 mass-spring-damper vibration absorbers is proposed for a vibration mechanism device. This vibration system is simulated by a rigid body deck with 4 comers supported by cubic springs. Only out-of-plane motions are considered in this research. 2 point-mass absorbers are attached under this deck. A nonlinear 3-D theoretical model for this system is established by Lagrange's equation. The asymptotic analytical solution is obtained by the multiple time scale analysis. This research provides a theoretical background for the preliminary vibration reduction design for industries. It is found that the existing vibration deck amplitude and unsteady region can be reduced by simply adding the absorbers at the end corner of the deck, without changing the main configurations.
Relation:	第七屆海峽兩岸航空太空學術研討會論文集，頁459-466
Appears in Collections:	[Graduate Institute & Department of Aerospace Engineering] Proceeding

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