臺灣博碩士論文加值系統

本文探討拘束阻尼層(Constrained Layer Damping, CLD)運用於平板減振之最佳化分析，首先推導出部份覆蓋CLD平板之運動方程式，以構成本研究之理論基礎。續探討具部份覆蓋CLD平板結構，其覆蓋CLD面積大小、黏彈層厚度、拘束層厚度等物理參數改變時，對具部份覆蓋CLD平板結構固有頻率、阻尼及功率頻譜等之影響。
經由此三層板之參數效應分析後，依據最佳化設計觀念，定義出由功率頻譜、固有頻率偏移率與成本因子等性能指標所組合的目標函數，尋求最佳之減振設計，如覆蓋CLD之最佳貼覆面積與厚度。接續探討目標函數中各因子權重變化對於功率頻譜、固有頻率偏移率與成本因子的影響。文末並進行簡單之實驗，藉以了解實驗之基本架設與原理。

This thesis presents the studies on optimization and vibration reduction analysis for the constrained layer damping (CLD) treatment on a plate. At first, the equations of motion of the plate with CLD are derived which were the foundation of the research. We analyze when the change of the area , viscoelastic material’s thickness, and constrained layer’s thickness of partial CLD, the influence of natural frequency, damping factor, and power spectrum.
After the analysis on the effect of the three-layer’s parameter, we define the subject function which composed of power spectrum, the rate of nature frequencies’ deviation, and cost factor from the design of optimization. The parameters of the design include the area and thickness of the CLD. We discuss the influence on the power spectrum, natural frequencies’ deviation, and cost factor through the changing of the weighting factor of the subject function. Finally, we performed a simple experiment to realize the basic principle and how to set up about vibration experiment.

目錄

摘要 I
ABSTRACT II
誌謝 III
目錄 IV
圖表索引 VII
符號索引 XIII
第一章 緒論 1
1.1文獻回顧 1
1.2研究動機 3
1.3 本文架構 4
第二章 拘束阻尼層平板之理論 7
2.1具拘束阻尼覆蓋平板之介紹 7
2.2平板理論 9
2.3具部份覆蓋拘束阻尼層平板理論 12
2.3.1應力、應變、位移關係式 12
2.3.2系統能量關係式 15
2.3.3三層平板結構之平衡關係式 17
2.3.4系統離散化 20
2.3.5系統的運動方程式 22
2.3.6模態固有頻率與阻尼因子 25
2.4結果與討論 26
第三章 拘束阻尼層之參數效應分析 30
3.1拘束阻尼層之厚度效應 31
3.1.1黏彈層之厚度效應 32
3.1.2拘束層之厚度效應 35
3.1.3拘束阻尼層厚度比例對阻尼之影響 38
3.2 拘束阻尼層之面積效應 39
3.3.功率頻譜 42
3.3.1拘束阻尼層厚度比例對功率頻譜之影響 43
3.3.2減振效益 44
3.4結果與討論 48
第四章 拘束阻尼層之減振最佳化 75
4.1目標函數 75
4.2最佳化方法 77
4.2.1地形鑑識法 77
4.2.2複合形法 79
4.3數值結果與討論 81
第五章 實驗量測與結果分析 103
5.1實驗架設 103
5.2實驗結果與討論 114
第六章 結論與未來展望 122
6.1結論 122
6.2未來展望 125
參考文獻 126
附錄 129
作者簡介 132

參考文獻

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