多塊式部分覆蓋拘束阻尼層對平板抑振之最佳化研究

An Optimal Study of Multiple PCLD Treatments for Vibration Suppression of Plates

陳億成(Yi-Cheng Chen)

《中華技術學院學報》 25期 (2002/09) Pp. 178-185

https://doi.org/10.7095/JCIT.200209.0178

摘要

本研究主要探討多塊式部份覆蓋拘束阻尼層（Constrained Layer Damping，CLD）應用於平板抑振之最佳化研究。在理論推導峙，將利用層板的力平衡關係式，及假設模態法離散各層能量式後。推導出僅具平板三個位移變數的運動方程式及頻率響應函數，此為不同於以往應用五個位移函數之模式。在分析複合式部份覆蓋拘束阻尼層對於平板抑振之最佳化設計時，定義成本因子與功率消耗等指標因子所組合的目標函數。並利用地形鑑識法（Topographical method）與變尺度法或複合形法（Complex method）等搜尋法則，找尋所有CLD對平板最佳抑振效果時，任一片CLD的貼覆位置及厚度。本研究的實行結果可使工程人員瞭解複合式與單片式部份覆蓋拘束阻尼層結構對平板抑振的比較。此外，藉由多片CLD之厚度與置放位置的最佳化設計，將可提供在材料工程、結構控制工程及衛星太空器方面甚有價值的參考資料。

關鍵字

拘束阻尼層 ； 黏彈材料 ； 減振 ； 最佳化設計

並列摘要

This plan will research on optimal study of multiple partial constrained layers damping (CLD) treatment for vibration suppression of rectangular plates. In the mathematical method, an energy approach in conjunction with the assumed-modes method will be employed. The equations of motion and the associated frequency response function of plate with multi-CLD treatment are derived. This model, unlike the previous, used just three displacement functions, two in-plane displacements and one transverse displacement. The influence of treated thickness on damping effects will be investigated. As to the optimal design process, an objective function that includes structural power dissipation coefficient and multi-CLD thickness is presented. The structural power dissipation coefficients are the main quantitative indicators for multi-CLD treatment. The thicknesses of multi-CLD are compensated to the objective function as penalties. A topographical method in conjunction with the variable metric method or the complex method is used to search for optimal design that includes the placement and sizing of any CLD. From these results, the different effects between one and multiple partial CLD treatment for vibration suppression of rectangular plates are shown and useful information is provided for designers. From these shown results, the engineers would gain very useful information to evaluate vibration reduction and optimization for different multiple partial CLD treatment of plates.

並列關鍵字

constrained layers damping ； VEM ； vibration suppression ； optimization