臺灣博碩士論文加值系統

本研究主要探討含側孔之梭織複材疊層板的自由振動現象。首先以熱壓法製作出自增強複合材料平板，然後利用實驗量測材料機械性質，再進行金相實驗觀察纖維波形與計算纖維體積含有率，並且利用勁度矩陣平均法，計算出梭織複材疊層板之等效工程模數。接著，將此等效工程模數輸入有限元素軟體ANSYS中進行平板振動分析，以求取平板之自然頻率及模態。然後利用實驗結果驗證有限元素分析結果之準確性。最後，探討不同長寬比、不同孔洞大小以及不同開孔位置等參數對梭織複材疊層板的自由振動現象的效應。由分析結果得知，當試片的長寬比與開孔長度固定後，頻率大致會隨著開孔寬度增加而減少，而當試片的長寬比與開孔寬度固定後，頻率大致會隨著開孔長度增加而略為減少，其中又以第四模態之頻率變化最大。

In this study, the free vibration of woven composite laminate plates with lateral holes is discussed. First, a self-reinforced composite laminate plate is manufactured by hot pressing. Its mechanical properties are measured, the fiber wave is observed, the fiber volume fraction is measured, and then the engineering moduli of the Woven Composite Laminate Plates are calculated using the stiffness averaging method. Second, in order to obtain the natural frequencies and modes, the engineering moduli calculated above are put into ANSYS for the analysis of the plate''s free vibration; the results are then verified. Finally, the effects of different length-to-width ratios, hole sizes, hole locations, and other parameters on the vibration of woven composite laminate plates are determined. The results indicate that when the length-to-width ratios and manufactured hole lengths are established, the frequency decreases as the manufactured hole width increases. Likewise, when the length-to-width ratios and manufactured hole width are established, the frequency decreases as the manufactured hole length increases. The natural frequencies of the fourth mode experienced the greatest amount of variation.

誌謝 i
中文摘要 ii
英文摘要 iii
目錄 iv
圖目錄 vi
表目錄 x
第一章 前言 1
1.1 緒論 1
1.3 文獻回顧 6
1.4 研究動機與目的 10
第二章 理論 12
2.1 梭織物複合材料之工程模數計算 12
2.1.1 單位格子 13
2.1.2 紗束之工程模數 14
2.1.3 三維座標轉換 16
2.1.4 勁度平均法 20
第三章 實驗 22
3.1 實驗材料 22
3.2實驗儀器 23
3.3 相關試片製作流程 24
3.4 測量楊氏模數及波松比 27
3.7 金相試驗 33
3.8 纖維體積含有率量測 34
3.9 研究遭遇的困難及解決之道 35
第四章 有限元素軟體分析 36
4.1介紹相關分析軟體 36
4.2 ANSYS分析步驟 37
4.3 分析步驟說明 38
第五章 結果與討論 41
5.1 計算與實驗結果比較 41
5.2 側孔寬度變化對試片頻率之影響 45
5.3 側孔長度變化對試片頻率之影響 50
5.4 試片開孔位置對自然頻率之影響 55
第六章 結論 60
參考文獻 61

1.L. M. Morgan*, B. M. Weager, C. M. Hare and G. R. Bishop, G. M. Smith The Path to Maturity for Self Reinforced Polymer Composites.
http://compositesuk.co.uk/LinkClick.aspx?fileticket=m6yKqIwOV6M%3D&tabid=103&mid=526

2.Baranov AO, Prut EV. Ultra-high modulus isotactic polypropylene.The influence of orientation drawing and initial morphology onthe structure and properties of oriented samples. J Appl Polym Sci1992;44：1557–72.

3.Marikhin VA, Myasnikova LP. Structural basis of high-strength high-modulus polymers. In：Fakirov S, editor. Oriented polymer materials. Heidelberg：Huthing & Wepf Verlag Zug; 1996. p. 38–98.

4.Prosser W,Hine PJ, Ward IM. Investigation into thermoformability of hot compacted polypropylene sheet. Plast Rubber Compos 2000：29：401-10.

5.Hine P, Broome V, Ward I. The incorporation of carbon nanofibres to enhance the properties of self reinforced, single polymer composites. Polymer 2005;46：10936–44.

6.Romhany G, Barany T, Czigany T, Karger-Kocsis J. Fracture and failure behavior of fabric-reinforced all-poly(propylene) composite (CurvR). Polym Adv Technol 2007;18：90–6.

7.McKown S, Cantwell WJ. Investigation of strain-rate effects in self-reinforced polypropylene composites. J Compos Mater 2007;41：2457–70.

8.Rasburn J, Hine PJ, Ward IM, Olley RH, Bassett DC, Kabeel MA. The hot compaction of polyethylene terephthalate. J Mater Sci 1995;30：615–22.

9.Rojanapitayakorn P, Mather PT, Goldberg AJ, Weiss RA. Optically transparent self-reinforced poly(ethylene terephthalate) composites： molecular orientation and mechanical properties. Polymer 2005;46：761–73.

10.Ward IM. Developments in oriented polymers, 1970–2004. Plast Rubber Compos 2004;33：189–94.

11.Ward IM, Hine PJ. The science and technology of hot compaction.
Polymer 2004;45：1413–27.

12.Hine PJ, Ward IM. High stiffness and high impact strength polymer
composites by hot compaction of oriented fibers and tapes. In： Balta-Calleja FJ, Michler GH, editors. Mechanical properties of polymers
based on nanostructure and morphology. Boca Raton： CRC
Press; 2005. p. 677–98.

13.Dipak Kr. Maiti, P.K. Sinha, “Bending and free vibration analysis of shear deformable laminated composite beams by finite element method,” Composite Structures, vol. 29, Issue 4, 1994, pp. 421-431.

14.F. Ju, H. P. Lee t and K. H. Lee, “Free vibration of composite plates with delamination around cutouts,” Composite Structures , vol.31, 1995, pp.177-183.

15.Chai Gin Boay.Free Vibration of laminated composite plates with a central circular hole Composites Structures 35(1996) 357-368

16.J.P. Houa,*, G. Jeronimidisb. Vibration of delaminated thin composite plates. Composites： Part A 30 (1999) 989–995

17.GJ. Turvey, N. Mulcahy, M.B. Widden, “Experimental and computed natural frequencies of square pultruded GRP plates： effects of anisotropy, hole size ratio and edge support condition,” Composite Structures , vol.50 , 2000, pp.391-403.

18.C. Kyriazogloua, B.H. Le Pageb, F.J. Guilda,* Vibration damping for crack detection in composite laminates.Composites：Part A 35 (2004) 945–953

19.L.Liu, L.P Chua, D.N. Ghista, Mesh-free radial function method for static, free vibration and bucking analysis of shear deformable composite laminates, Composite Structures, Vol.78,2007,pp.58-69.

20.Hiroyuki Matsunaga, Free vibration and stability of functionally graded shallow shells according to a 2D higher-order deformation theory,Composite Structures, Vol.84,2008,pp.132-146.

21.Abderrahim El Mahi a, Mustapha Assarar a, Youssef Sefrani b, Jean-Marie Berthelot c,*. Damping analysis of orthotropic composite materials and laminates. Composites： Part B 39 (2008) 1069–1076

22.Jean-Marie Berthelot,Mustapha Assarar, Youssef Sefrani,Abderrahim El Mahi, Damping analysis of composite materials and structures ,
Composite Structures, Vol85,2008,pp.189-204.