研究生: |
林茂盛 LIN MAO-SHENG |
---|---|
論文名稱: |
含近邊界圓孔平板接觸理論之探討 INVESTIGATION OF CONTACT THEORY OF THE PLATE CONTAINING A CIRCULAR HOLE NEAR THE EDGE |
指導教授: |
王偉中博士
WANG, WEI-CHUNG 陳泳沔博士 CHEN, YUNG-MIEN |
口試委員: | |
學位類別: |
碩士 Master |
系所名稱: |
工學院 - 動力機械工程學系 Department of Power Mechanical Engineering |
論文出版年: | 2002 |
畢業學年度: | 90 |
語文別: | 中文 |
論文頁數: | 85 |
中文關鍵詞: | 穿透式數位光彈法 、修正接觸理論 、受拉伸負載含圓孔無窮平板解 、取代式疊加法 |
外文關鍵詞: | photoelastic, modified contact theory, stress Distribution in a thin, Infinite plate with a circular hole, Replaced Superposition |
相關次數: | 點閱:3 下載:0 |
分享至: |
查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報 |
工程實務中若有物體之間的接觸就會衍生一些問題,例如表面的磨秏、破壞等。有時工程實務中因功能上的需要而必須預先留下孔洞,例如道路上內埋管線或建築物內埋之水管、電線管路等等,在受力狀態下,因孔洞或縫隙存在所產生的應力集中現象而易於發生破壞。本研究最主要的目的就是在探討含孔缺陷之構件於接觸負載下所產生的應力分佈狀況。
本研究為利用穿透式數位光彈法,配合影像處理程式以探討含近邊界圓孔平板在其邊界上承受集中負荷之應力分佈。本研究特別提出了有別於一般疊加理論之疊加法,將已知的修正接觸理論之應力分佈來取代受拉伸負載含圓孔無窮平板解之施力項s0並再疊加上修正接觸解後,獲得含近邊界圓孔平板接觸理論解,在此特稱此種方法為取代式疊加法(Replaced Superposition Method)。並利用光彈取點程式配合疊代程式和倒畫光彈影像程式倒畫出理論之光彈條紋圖形,再以細線化程式將理論倒畫所得之影像細線化,再疊加上實驗影像加以比較以判斷理論之正確性。其次,再改變施力點位置及圓孔中心離邊界距離以了解應力分佈之改變。
1. H. Hertz,“Uberdie Beruhrung fester elastischer korper (On the contact of elastic solids),”J. reine und angewandte Mathematik, 92, 156-171.(For English translation see Miscellaneous Papers by H. Hertz, Eds. Jones and Schott, London: Macmillan, 1896.)
2. J. O. Smith and C. K. Liu,“Stresses due to Tangential and Normal Loads on an Elastic Solid with Application to Some Contact Stress Problems,”Journal of Applied Mechanics, pp. 157-166, 1953.
3. 趙皇麟,”轉動圓盤與共軛凸輪接觸應力之光彈分析”,國立清華大學動力機械工程學系碩士論文,民國87年。
4. R. D. Mindlin,“Compliance of Elastic Bodies in Contact, Journal of Applied Mechanics, pp. 259-268, 1949.
5. N. I. Muskhelishvili,“Some Basic Problems of the Mathematical Theory of Elasticity,”Noordhoff, Croningen.
6. K. L. Johnson, Contact Mechanics, Cambridge University Press, Cambridge, England,1985.
7. F. Y. Chen, Mechanics and Design of Cam Mechanisms, Pergamon Press Inc., New York, USA, 1982.
8. J. W. Dally and Y. M. Chen,“A Photoelastic Study of Friction at Multipoint Contacts,”Experimental Mechanics, Vol. 31, pp. 144-149, 1991.
9. 沈瑞璋,”修正接觸理論之實驗探討”,國立清華大學動力機械工程學系碩士論文,民國89年。
10. Y. Ohashi, S. Murakami and K. Nishikiori,“A Photoelastic Analysis For the Stress Distribution in Roller-Dies For Strip Drawing,”Int. J. Mech. Sci., Vol. 6, pp. 461-471, 1964.
11. A. Shukla and H. Nigam,“A Numerical-Experimental Analysis of the Contact Stress Problem,”Journal of Strain Analysis, Vol. 20, No. 4, pp. 241-245, 1985.
12. M. I. Ghobrial,“A Photoelastic Investigation on The Contact Stresses Developed in Rolls During Asymmetrical Flat Rolling,”Int. J. Mech. Sci., Vol. 31, pp. 751-764, 1989.
13. M. J. Wang and W. C. Wang, “Investigation of Contact Stresses of Rotating Cam by a Digital Photoelastic Method,”Journal of the British Society for Strain Measurement, pp. 17-24, Feb. 1995.
14. E.C. Miniatt and A.M. Waas and W.J. Anderson, “An Experimental Study of Stress Singularities at a Sharp Corner in a Contact Problem,” Experimental Mechanics, Vol. 30, pp. 281-285, 1990.
15. M. Bijak-Zochowski and C.E. Miniatt and A.M. Waas, “Reduction of Contact Stress by Use of Relief Notches,” Experimental Mechanics, Vol. 31, pp. 271-275, 1991.
16. J. W. Dally and Y. M. Chen, “Analysis of Subsurface Crack Propagation and Implications for Wear of Elastically Deforming Materials,” Journal of Wear , pp.95-114, 1990.
17. J. W. Dally and W. F. Riley,“Experimental Stress Analysis,”McGraw-Hill, New York, U.S.A., 1991.
18. A. Voloshin and C. P. Burger,“Half-Fringe Photoelasticity: A New Approach to Whole-Field Stress Analysis,”Experimental Mechanics, Vol. 23, pp. 304-313, 1983.
19. W. C. Wang, T. L. Chen and S. H. Lin.,“Digital Photoelastic Investigation of Transient Thermal Stresses of Two Interacting Defects,”Journal of Strain Analysis, Vol. 25, No. 4, pp. 215-228, 1990.
20. A. P. Boresi and O. M. Sidebottom,“Advanced Mechanics of Materials,”John Wiley & Sons, U. S. A., 1985.
21. W. C. Wang and T. L. Chen,“Half-Fringe Photoelastic Determination of Opening Mode Stress Intensity Factors for Edge Cracked Strips,”Engineering Fracture Mechanics, Vol. 32, pp. 111-121, 1988.
22. W. C. Wang and J. T. Chen,“Theoretical and Experimental Re-Examination of a Crack Perpendicular to and Terminating at the Bimaterial Interface,”Journal of Strain Analysis for Engineering Design, Vol. 28, No. 1, pp. 53-61, 1993.
23. 許凱翔,”多種材料熱應力奇應性之實驗探討”,國立清華大學動力機械工程學系碩士論文,民國90年。
24. ”MATLAB”, Version 5.3,The MathWorks, Inc., Natick, Mass., U.S.A., R11.
25. ”MATHMATICA”, Version 4, Wolfram Research, Inc., New York, U.S.A., R4.