臺灣博碩士論文加值系統

人類早就組合各種材料作成特性較優秀材料結構，因複合材料具有低重量、高強度、高勁度、耐腐蝕、低熱傳性及抗疲勞能力佳等特性，而三明治平板結構又為最常見的複合材料。
由文獻中得知三明治平板大都不考慮膠黏層，且也缺少探討其黏彈性(Viscoelasticity)行為。本文研究目的是分析五層三明治平板含上下兩層面板、緊接著上下兩層膠黏層結構及中間的心材部分，在假設膠黏層部分為黏彈行為的前提，作三明治板膠黏層的黏彈性分析，找出真正在三明治平板變形的理論值結果；再以有限元素分析(FEM Analysis)軟體來設計一符合假設模型的程式，來求出其有限元素解，試著將解析解及有限元素解的結果做比較，證明解析解的正確性。
當膠黏層考慮成黏彈性材料，三明治平板會受黏彈性質的影響，隨著時間增加而發生潛變，故必需將黏彈性膠黏層考慮進入結構分析才符合實際三明治結構的變化，以期望在日後作為三明治結構分析的設計準則及尖端複合材料（Advanced Composite Materials ）的重要依據。

Owing to the advantage of the characteristics of low weight, high mechanical strength, high corrosion resistance, low heat conduction, high fatigue life endurance, many materials have been combined to form composite materials previously. The structure of composite sandwich plates is one kind of the most common composite material.
From the references, it is known that most of the researches do not consider the existence and viscoelasticity of adhesive layers in sandwich plates. Being on the premise that the adhesive layers have property of viscoelasticity, the objective of our research is to analysis the viscoelastic behavior of adhesive layers for a sandwich plate with five layers (including two layers of facing sheet, two layers of adhesive and one layer of core) in order to find the true theoretical deformation value of sandwich plate under loading. After getting numerical solution and trying to compare it with analytical solution, the validity of the analytical solution is then been proved.
When considering the adhesive layers to be viscoelastic, the sandwich plate will be effected and crept with time. The result of our research is expected to become one principle for designing and analyzing sandwich structure. The viscoelasticity of adhesive layers must be involved into the consideration of sandwich structure analysis. The result of this study could be one of the design criterions for advanced composite materials in the future.

摘要 I
Abstract II
目錄 IV
表目錄 VII
圖目錄 VIII
第一章 緒論 1
1-1 前言 1
1-2 研究動機與目的 1
1-3 文獻回顧 6
1-3-1 三明治結構應力應變分析 6
1-3-2 三明治結構動態分析 9
1-3-3 三明治結構最佳化分析 10
1-3-4 文獻整理心得 10
1-4 研究方法與流程 11
1-5 論文架構概要 14
第二章 三明治結構與性質簡介 15
2-1 三明治結構概念 15
2-2 膠黏行為簡介 16
2-2-1 膠黏劑的構造及類型 17
2-2-2 膠黏劑的選擇 18
2-2-3 膠黏界面分析 19
第三章 黏彈性及三明治結構理論基礎 20
3-1 基礎黏彈性力學 20
3-1-1 Maxwell模型理論 20
3-1-2 Kelvin模型理論 21
3-1-3 廣義Maxwell模型理論 22
3-1-4 廣義Kelvin模型理論 23
3-1-5 Burger模型(4個參數)理論 24
3-2 三明治結構複合板彈性基礎理論 25
第四章 三明治平板膠黏層黏彈性質分析 27
4-1 問題描述 27
4-2 方程式推導概述 27
4-3 方程式推導之假設 29
4-4 位移表示函數 30
4-5 解析解方程式 37
4-5-1 系統全勢能 37
4-5-2 系統統御方程式 40
第五章 分析方法與實例探討 46
5-1 雙重傅立葉法 (Double Fourier Series) 46
5-2 實例探討 49
5-2-1 模型的假設 49
5-2-2 解析解計算 50
5-2-3 有限元素分析 52
5-2-4 兩種分析結果比較 55
第六章 結論與未來研究方向 77
6-1 結論 77
6-2 未來研究方向 80
參考文獻 84
附錄一：黏彈性方程式推導 88
附錄二：方程式係數 91
附錄三：解析解之三維圖形 123

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