臺灣博碩士論文加值系統

由於複合材料材積層板在厚度方向上強度較差，尤其是在層間介面上。此一強度較弱之介面，常於受力時形成脫層破壞。因此，積層板在層與層間的層間應力，一直是設計分析時最被關注之焦點。本研究即針對此一問題，應用層間應力連續理論，探討積層板在可能存在介面滑移之情形下，其影響各模態共振頻率、積層板層間的應力、層間滑移等現象，以及積層板的模態、頻率與瑕疵所生之位置、大小及滑移嚴重性之關係，提供一以模態參數作為積層板非破壞性檢測之方法。由於此層間應力連續理論其位移場已滿足層間剪應力連續之條件，因此所有在此之橫向層間剪應力分量皆可以直接由材料之組成律求得。本論文中以積層板在不同介面滑移常數、不同角度纖維排列、不同位置產生介面滑移下，探討共振模態頻率之改變情形。數值實例結果驗證本理論之正確性，且介面瑕疵對較高階模態之共振頻率影響較低階模態為大，而瑕疵在節點位置對該模態之共振頻率影響最大。

The composites laminates suffer mostly on the low strength in the thickness direction upon loading. The delamination failure inside the laminate usually occurs on these weak interfaces. Therefore, the interlaminar stresses deserve more attentions in the analysis of composite laminates. This research focuses on developing an interlaminar stress continuity theory to simulate the effect of interfacial slippage on the resonance frequency and modal stress distribution of the composite laminate. In addition, the influences of the slip constant, location and area of the interfacial slip on the dynamic characteristics of the laminate are also studied. This sensitivity study provides a feasibility evaluation for using the modal properties in the non-destructive testing of the defected laminates. Since the derived displacement field of the theory has satisfied the interfacial shear stress continuity, the interlaminar shear stress components can be calculated directly from the constitutive equations. In this thesis, the resonance frequencies and the associated modal shapes of the laminate with different slip constants, stacking sequences and locations of interfacial slip are investigated. The results of the theory are justified by several numerical examples. It is found that the interfacial defect has more influence on the higher modes than the lower ones, whereas the resonance frequency suffers the most lowering as the defect happens to be in the nodal line of the corresponding mode.

目錄

封面內頁 頁次
簽名頁
授權書 iii
中文摘要 v
英文摘要 vi
誌謝 viii
目錄 ix
圖目錄 xi
符號說明 xiv

第一章 緒論 1
1.1前言 1
1.2研究動機 2
1.3內容概述 3
第二章 文獻回顧 4
第三章 理論推導 .9
3.1層間應力連續理論推導 .9
3.2應變能 18
3.3動能 21
3.4界面能 23
3.5系統之運動方程式…………………………………...24
3.6有限元方程式推導…………………………………...25
3.7Fortran程式分析……………………………………...25
第四章 數值實例與討論 27
4.1數值實例與驗證 27
4.2不同角度堆疊對二維積層樑共振頻率之影響 28
4.3介面滑移常數對二維積層樑共振頻率模態影響 30
4.4二維積層樑在共振頻率下模態之變化 33
4.5四邊簡支正方形積層版模態分析 41
4.6懸臂長方形積層版模態分析 48
第五章 結論與建議 51
5.1 結論 51
5.2 後續研究方向 52
參考文獻 54
附錄A 此為εx、εy、γxy之矩陣向量 61
附錄B 此為 之矩陣 62
附錄C 此為 之矩陣 63
附錄D 此為 、 之矩陣 64

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