臺灣博碩士論文加值系統

本文以非破壞的方法來反求複合材料的材料性質，利用實驗應變值與理論應變值之誤差建立一誤差方程式，結合多起始點法與總域極小值法求得誤差方程式的極小值，藉此求出正確的材料性質。文中以反求積層板及積層式壓力容器之材料常數來驗證本法之正確性；並以本法求得纏繞式壓力容器之彈性常數。

A method for nondestructive evaluation of material properties of composite materials is presented. A multi-start algorithm for global constrained minimization is presented. In this algorithm the search trajectories are derived from the equation of motion of a particle in a conservative force field and the objective function which is the difference between the theoretically and experimentally predicted strains is treated as the potential energy of the particle. The applications of the proposed method are demonstrated by means of several examples on the identification of material properties of laminated composite plates, laminated composite cylindrical pressure vessels and filament wound composite pressure vessels.

中文摘要 i
英文摘要 ii
誌謝 iii
目錄 iv
表目錄 vi
圖目錄 vii
第一章 緒論 1
1-1 前言 1
1-2 文獻回顧 1
1-3 本文研究方向2
第二章 纖維纏繞法之基本理論 3
2-1 纖維纏繞法之介紹3
2-2 纖維纏繞結構疊層之假設3
第三章 複材積層板理論5
3-1 積層板的變位分析5
3-2 積層式壓力容器分析11
3-3 纏繞式壓力容器分析12
第四章 最佳化應用14
4-1 介紹14
4-2 數值最佳化方法14
4-3 多起始點方法15
4-4 區域極小化程序15
4-5 總域極小化程序17
4-6 延伸性拉格蘭吉乘子17
4-7 例題19
第五章 反求法識別材料性質21
5-1 介紹21
5-2 混合法求材料性質21
5-3 反求積層板的材料常數22
5-4 反求積層式壓力容器的材料常數23
5-5 反求纏繞式壓力容器的彈性係數25
第六章 結論28
參考文獻29
附錄31

1. J. Berlamont , "Production Oriented Design of Filament Wound Composites," pp.33-59 , Apr. 1990.
2. S. T. Peters , W. D. Humphrey , R. F. Foral , "Filament Winding," Composite Structure Fabrication , 1991.
3. Y. M. Tranpol , A. I. Beil , "Problems of the Mechanics of Composite Winding-Fabrication of Composite," Handbook of Composites , Vol.4 , pp45-108 , 1983.
4. A. M. Shibley , "Filament Winding," Handbook of Composites , 1982.
5. 蔡坤璁 , "纏繞式複合材料壓力容器之製程研究," 國立交通大學機械工程研究所碩士論文 , 新竹市 , 1998.
6. 游皓全 , "纏繞式複合材料壓力容器之強度研究," 國立交通大學機械工程研究所碩士論文 , 新竹市 , 1998.
7. C. W. J. Oomens , "Mechanical Characterization of Materials by Means of Nonuniform Field Information," Computer Methods in Composite Materials VI.
8. T. Y. Kam , C. K. Liu , "Stiffness Identification of Laminated Composite Shafts," Int. J. Mech. Sci. , Vol.40 , No.9 , pp.927-936 , 1998.
9. J. S. Arora , "Introduction to Optimum Design," McGraw Hill Inc. , pp20-167 , 1989.
10. J. A. Snyman , L. P. Fatti , "A Multi-Start Global Minimization Algorithm with Dynamic Search Trajectories," Journal of Optimization Theory and Applications : Vol.54 , No.1 , July 1987.
11. 賴峰民 , "複合材料積層板設計及製造," 國立交通大學機械工程研究所碩士論文 , 1993.
12. 賴峰民 , "複合材料結構首層破壞之最佳化設計," 國立交通大學機械工程研究所博士論文 , 1997.
13. R. F. Gibson , "Principles of Composite Material Mechanics," McGraw Hill Inc. , pp.190-215 , 1994.
14. G. N. Vanderplaats , "Numerical Optimization Techniques for Engineering Design : with Applications," McGraw Hill Inc. , 1984.