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.
