本研究旨在應用最佳化程序以獲得雙樑型週期吸振器(Periodic Vibration Absorber,PVA)的最佳設計參數值，使PVA能兼具倍頻吸振效果與低誤差敏感度，期能輔助主結構抵抗週期負荷。PVA係由兩根可不等長的懸臂樑結合一中間彈簧所組成，文中將PVA分成兩個子系統，並求得各自的振動特性，復由接納法將其合成，藉由數個無因次化的設計參數，使頻率方程式形成一無因次化形式。最佳化程序是由地形鑑識法搭配複合形法組合而成，利用吾人所定義的目標函數與限制條件，求得最佳設計參數值。
將設計的PVA裝置於承受週期負荷的主結構上，從數值結果可觀察出PVA能有效地吸收週期負荷的能量，大幅降低負荷對主結構的振動影響。雙樑的製作或裝配在主結構上時的偏移量，會降低PVA的吸振能力，數值結果呈現出，微調PVA之彈簧常數、連接位置，可改善PVA的吸振能力。上述研究的成果可提供工程人員結構減振之重要資訊。

The research is to design a periodic vibration absorber(PVA) in an optimal fashion. The objectives of the PVA devise are not only to absorb multiple frequencies general by a periodic excitation but also to provide adjustable capability. The PVA is composed of two beams interconnected with a discrete spring. The receptance method is employed for analytical analysis and the topographical method in conjunction with complex method for optimization solutions. The sensitivity analysis follows to determine the most suitable solutions.
The designed PVA is then implemented onto a main system and two types of periodic excitation are applied. The results show that PVA absorbs more than 90% of the vibration. At last, the ability of tuning to accommodate the possible change of external excitation or manufactory users is discussed. Numerical results show that with a 1% deviation, the PVA still can be adjusted to fit for the external frequency. Although the absorption decreases but it appears still superior to single mass DVA(SMD) since PVA not only absorbs first natural frequency component like SMD but also absorbs parts of the second and third components.

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