本文探討拘束阻尼層(Constrained Layer Damping，CLD)應用於樑與平板之最佳配置與減振分析，首先推導出部份覆蓋拘束阻尼層樑與平板之運動方程式，並求出在各個模態下，黏彈層之變形。由於拘束阻尼層之吸振能量取決於其剪變形，隨覆蓋位置改變，其吸振能量亦不同，因此對於每一模態而言，均有其最佳覆蓋位置，但是一般之振動是由多個模態參與而成，要如何在錯綜複雜的振動行為中找出最佳貼覆位置以減少振動，將是本文之重心。
本文首先建立在各個模態下，拘束阻尼層在不同貼覆位置之吸振能量圖，以各模態之吸振能量圖為基底，當受到任一振源時，經由模態分解，瞭解其各模態之參與量，並依循本文所建立之最佳化準則，經由最佳化方法決定拘束阻尼層之最佳貼覆位置。文末並進行實驗分析，以驗証所建立之最佳化準則。實驗與理論計算呈現相符之結果，足見本理論之正確性與可用性。

This thesis develops an algorithm for the optimal placement and vibration reduction of constrained layer damping (CLD) treatment on beams and plates. Analytical model of plate and beam with partially covered CLD is first derived and the mode shapes are obtained. The deformation of visco-elastic layer associated at each mode is then calculated. The dissipated energy in VEM is related to its shear deformation and it varies from place to place. Therefore, for each mode there exists an optimal placement of CLD. In most of vibration cases, the vibration is attributed to participation of various modes and it has been an important issue of selecting the best placement of CLD in order to achieve the best damping effect. In the present thesis, the dissipation energy diagrams of CLD for each mode at various locations are first constructed and used as a database. An optimal algorithm utilizing the built diagrams is then developed and with it a plate subjected to arbitrary loading can be determined for its best CLD placement. The amount of vibration reduction is calculated as well. At last, experiments are performed to verify the developed algorithm. The results are consistent and it prove, the validity and applicability of the develop theory.

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