請用此 Handle URI 來引用此文件:
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/35878
完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 呂良正(Liang-Jenq Leu) | |
dc.contributor.author | Chien-Kai Wang | en |
dc.contributor.author | 王建凱 | zh_TW |
dc.date.accessioned | 2021-06-13T07:47:47Z | - |
dc.date.available | 2005-07-30 | |
dc.date.copyright | 2005-07-30 | |
dc.date.issued | 2005 | |
dc.date.submitted | 2005-07-26 | |
dc.identifier.citation | Allaire, G. (2002), Shape Optimization by the Homogenization Method, Springer, New York.
Bendsøe, M. P. (1995), Optimization of Structural Topology, Shape, and Material, Springer, Germany. Bendsøe, M. P., and Sigmund, O. (2004), Topology Optimization: Theory, Methods, and Applications, Springer, Germany. Bendsøe, M. P., and Soares, C. A. M. (1993), Topology Design of Structures, Kluwer Academic Publishers, Netherlands. Chandrupatla, T. R., and Belegundu, A. D. (1997), Introduction to Finite Elements in Engineering, Prentice-Hall International, Inc., USA. Chopra, A. K. (2001), Dynamics of Structures: Theory and Applications to Earthquake Engineering, Prentice Hall, USA. Chu, D. N., Xie, Y. M., Hira, A., and Steven, G. P. (1996), “Evolutionary structural optimization for problems with stiffness constraints,” Finite Elements in Analysis and Design, 21, 239-251. Chu, D. N., Xie, Y. M., Hira, A., and Steven, G. P. (1997), “On various aspects of evolutionary structural optimization for problems with stiffness constraints,” Finite Elements in Analysis and Design, 24, 197-212. Chu, D. N., Xie, Y. M., Hira, A., and Steven, G. P. (1995), “An evolutionary procedure for structural optimization with displacement constraints,” Building for the 21st Century, 1091-1096. Cook, R. D., Malkus, D. S., Plesha, M. E., and Witt, R. J. (2002), Concepts and Applications of Finite Element Analysis, John Wiley & Sons, Inc., USA. Crowley, J. M. (1991), Fundamentials of Applied Electrostatics, Krieger Publishing Company, Florida. Das, R., Jones, R., and Xie, Y. M. (2005), “Design of structures for optimal static strength using ESO,” Engineering Failure Analysis, 12, 61-80. Gere, J. M., and Timoshenko, S. P. (1997), Mechanics of Materials, PWS Publishing Company, USA. Hammer, V.B., and Olhoff, N. (2000), “Topology optimization of continuum structures subjected to pressure loading,” Struct. Multidisc. Optim., 19, 85-92. Hörnlein, H. R. E. M., and Schittkowski, K. (1993), Software Systems for Structural Optimization, Birkhäuser, Germany. Hsu, M. H., and Hsu, Y. L. (2003), “Integrating 2-D and 3-D topology and shape optimization using the density contour approach,” Ming-Hsiu Hsu's PhD thesis. Jog, C. S. (2002), “Topology design of structures subjected to periodic loading,” Journal of Sound and Vibration, 253(3), 687-709. Jog, C. S. (2004), “Higher-order shell elements based on a Cosserat model, and their use in the topology design of structures,” Comput. Methods Appl. Mech. Engrg., 193, 2191-2220. Kim, H., Querin, O. M., Steven, G. P., and Xie, Y. M. (2003), “Improving efficiency of evolutionary structural optimization by implementing fixed grid mesh,” Struct. Multidisc. Optim., 24, 441-448. Li, Q., Steven, G. P., Querin, O. M., and Xie, Y. M. (1999a), “Evolutionary shape optimization for stress minimization,” Mechanics Research Communications, 26(6), 657-664. Li, Q., Steven, G. P., Querin, O. M., and Xie, Y. M. (1999b), “Shape and topology design for heat conduction by evolutionary structural optimization,” International Journal of Heat and Mass Transfer, 42, 3361-3371. Li, Q., Steven, G. P., Xie, Y. M., and Querind, O. M. (2004), “Evolutionary topology optimization for temperature reduction of heat conducting fields,” International Hournal of Heat and Mass Transfer, 47, 5071-5083. Liang, Q. Q. (2005), Performance-based Optimization of Structures: Theory and Applications, Spon Press, London and New York. Liang, Q. Q., Steven, G.P., and Xie, Y.M. (1999a), “On equivalence between stress criterion and stiffness criterion in evolutionary structural optimization,” Computer Optimization, 18(1), 67-73. Liang, Q. Q., Steven, G.P., and Xie, Y.M. (1999b), “Optimal selection of topologies for the minimum-weight design of continuum structures with stress constraints,” Proc. Instn. Mech. Engrs., 213(C), 755-762. Liang, Q. Q., Xie, Y. M., and Steven, G. P. (1999), “Optimal selection of topologies for the minimum-weight design of continuum structures with stress constraints,” Proc. Instn. Mech. Engrs., 213, 755-762. Liang, Q. Q., Xie, Y. M., and Steven, G. P. (2000a), “Optimal topology design of bracing systems for multistory steel frames,” Journal of Structural Engineering, 126(7), 823-829. Liang, Q. Q., Xie, Y. M., and Steven, G. P. (2000b), “Optimal topology selection of continuum structures with displacement constraints,” Computers and Structures, 77, 635-644. Liang, Q. Q., Xie, Y. M., and Steven, G. P. (2001a), “A performance index for topology and shape optimization of plate bending problems with displacement constraints,” Struct. Multidisc. Optim., 21, 393-399. Liang, Q. Q., Xie, Y. M., and Steven, G. P. (2001b), “A simple checkerboard suppression algorithm for evolutionary structural optimization,” Struct. Multidisc. Optim., 22, 230-239. Logan, D. L. (2002), A First Course in the Finite Element Method, Brooks/Cole, USA. Ma, Z. D., Kikuchi, N., and Cheng, H. C. (1995), “Topological design for vibrating structures-Zheng,” Computer Methods in Applied Mechanics and Engineering, 121, 259-280. Manickarajah, D., Xie, Y. M., and Steven, G. P. (1998), “Evolutionary method for optimization of plate buckling resistance,” Finite Elements in Analysis and Design, 29, 205-230. Manickarajah, D., Xie, Y. M., and Steven, G. P. (2000a), “Optimisation of columns and frames against buckling,” Computers and Structures, 75, 45-54. Manickarajah, D., Xie, Y. M., and Steven, G. P. (2000b), “Optimum design of frames with multiple constraints using an evolutionary method,” Computers and Structures, 74, 731-741. Mijar, A. R., Swan, C. C., Arora, J. S., and Kosaka, I. (1998), “Continum topology optimization for concept design of frame bracing systems,” Journal of Structural Engineering, 124(5), 541-550. Sigmund, O. (2001), “A 99 line topology optimization code written in Matlab,” Struct. Multidisc. Optim., 21, 120-127. Ohmori, H., and Cui, C. (2000), “Computational morphogensis by extended ESO method for 3-dimensional structures,” Journal of the International Association for Shell and Spatial Structures (IASS), 44(1)(141), 51-61. Olhoff, N., Rønholt E., and Scheel, J. (1998), “Topology optimization of three-dimensional structures using optimum microstructures,” Structural Optimization, 16, 1-18. Reddy, J. N., and Gartling, D. K. (1994), The Finite Element Method in Heat Transfer and Fluid Dynamics, CRC Press, Inc., USA. Ren, G., Smith, J. V., Tang, J. W., and Xie, Y. M. (2005), “Underground excavation shape optimization using an evolutionary procedure,” Computer and Geotechics, 32, 122-132. Rong, J. H., Xie, Y. M., and Yang, X. Y. (2001), “An improved method for evolutionary structural optimisation against buckling,” Computers and Structures, 79, 253-263. Rozvany, G. I. N. (2001a), “Aims, scope, methods, history and unified terminology of computer-aided topology optimization in structural mechanics,” Struct. Multidisc. Optim., 21, 90-108. Rozvany, G. I. N. (2001b), “On design-dependent constraints and singular topologies,” Struct. Multidisc. Optim., 21, 164-172. Rozvany, G. I. N. (2001c), “Stress ratio and compliance based methods in topology optimization-a critical review,” Struct. Multidisc. Optim., 21, 109-119. Silvester, P. P., and Ferrari, R. L. (1990), Finite Elements for Electrical Engineers, Cambridge University Press, Malta. Steven, G. P., Li, Q., and Xie, Y. M. (2000), “Evolutionary topology and shape design for physical field problems,” Computational Mechanics, 26, 129-139. Steven, G. P., Li, Q., Xie, Y. M. (2002), “Multicriteria optimization that minimizes maximum stress and maximizes stiffness,” Struct. Multidisc. Optim., 80, 2433-2448. Stolpe, M., and Svanberg, K. (2001), “An alternative interpolation scheme for minimum compliance topology optimization,” Struct. Multidisc. Optim., 22, 116-124. Tanskanen, P. (2002), “The evolutionary structural optimization method theoretical aspects,” Comput. Methods Appl. Mech. Engrg., 191, 5485-5498. Xie, Y. M., and Steven, G. P. (1996), “Evolutionary structural optimization for dynamic problems,” Computers & Strucutures, 58(6), 1067-1073. Xie, Y. M., and Steven, G. P. (1994a), “Technical note: a simple approach to structural frequency optimization,” Computer & Structuraes, 53(6), 1487-1491. Xie, Y. M., and Steven, G. P. (1994b), “Optimal design of multiple load case structures using an evolutionary procedure,” Engineering Computations, 11, 295-302. Xie, Y. M., and Steven, G. P. (1997), Evolutionary Structural Optimization, Springer, London. Xie, Y. M., Felicetti P., Tang, J. W., and Burry, M. C. (2005), “Form finding for complex structures using evolutionary structural optimization method,” Design Studies, 26, 55-72. Yang, R. J., and Chen, C. J. (1996), “Stress-based topology optimization,” Structural Optimization, 12, 98-105. Yang, X. Y., Xie, Y. M., and Steven, G. P. (2005), “Evolutionary methods for topology optimisation of continuous structures with design dependent loads,” Comput. Methods Appl. Mech. Engrg., 83, 956-963. Yang, X. Y., Xie, Y. M., Steven, G. P., and Querin, O. M. (1999), “Topology optimization for frequencies using an evolutionary method,” Journal of Structural Engineering, 125(12), 1432-1438. Young, V., Querin, Q. M., Steven, G. P., and Xie, Y. M. (1999), “3D and multiple load case bi-directional evolutionary structural optimization (BESO),” Structural Optimization, 18, 183-192. Zhao, C., Steven, G. P., and Xie, Y. M. (1997), “Effect of initial nondesign domain on optimal topologies of structures during natural frequency optimization,” Computers & Strucutures, 62(1), 191-163. Zhao, C., Steven, G. P., and Xie, Y. M. (1998a), “A generalized evolutionary method for natural frequency optimization of membrane vibration problems in finite element analysis,” Computers & Strucutres, 66(2), 343-364. Zhao, C., Steven, G. P., and Xie, Y. M. (1998b), “A generalized evolutionary method for numerical topology optimization of structures under static loading conditions,” Structural Optimization, 15, 251-260. Zhou, M., Shyy, Y. K., and Thomas, H. L. (2001), “Checkerboard and minimum member size control in topology optimization,” Struct. Multidisc. Optim., 21, 152-158. (1997), IMSL. Math/Library: Fortran Subroutines for Mathematical Applications, Visual Numerics. (2001), ABAQUS/CAE User's Manual, Version 6.2, Hibbitt, Karlsson & Sorensen, Inc., USA. (2001), ABAQUS/Explicit User's Manual, Version 6.2, Hibbitt, Karlsson & Sorensen, Inc., USA. (2001), ABAQUS/Standard User's Manual, Version 6.2, Hibbitt, Karlsson & Sorensen, Inc., USA. (2001), ABAQUS/Viewer User's Manual, Version 6.2, Hibbitt, Karlsson & Sorensen, Inc., USA. (2001), ABAQUS Example Problems Manual, Version 6.2, Hibbitt, Karlsson & Sorensen, Inc., USA. (2001), ABAQUS Keywords Manual, Version 6.2, Hibbitt, Karlsson & Sorensen, Inc., USA. 余家斌(2003),Fortran 90/95與視覺化程式設計,文魁資訊股份有限公司,台北市。 呂良正、黃仲偉(2003),「結構拓樸最佳化的過去現在與未來」,電子計算機於土木水利工程應用研討會與論壇,台北市,第1-8頁。 林聰梧、林佳慧(1999),數值方法與程式,圖文技術服務有限公司有限公司,台北市。 洪維恩(2004),數學運算大師Mathematica 4,碁峰資訊股份有限公司,台北市。 張民昆(2004),應用有限元素軟體ABAQUS於結構最佳化設計之系統開發,國立台灣大學土木工程學研究所碩士論文。 張群、高成、袁傑(2001),工程數學,鼎茂圖書出版有限公司,台北市。 彭國倫(2003),Fortran 95程式設計,碁峰資訊股份有限公司,台北市。 黃仲偉(2003),結合拓樸最佳化之壓拉桿模型理論與軟體開發,國立台灣大學土木工程學研究所博士論文。 愛發股份有限公司(2005),ABAQUS實務入門引導,全華科技圖書股份有限公司,台北市。 | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/35878 | - |
dc.description.abstract | 摘 要
本研究將有限元素套裝軟體ABAQUS與自行開發之結構最佳化演進程式相連結,充分掌握ABAQUS文字輸入、輸出檔中的資料格式與指令之關鍵字。為提高結構最佳化演進程式執行效率與降低程式執行所需之系統資源,本研究以硬移除(hard kill)之方式移除無效率元素,即當移除有限元素模型中之無效率元素時,在結構模型之輸入檔案中,此無效率元素之相關資料如:節點之座標、節點連接關係、邊界條件等皆須經過最佳化演進程式之演算與統計,而進行刪除或更新的動作。因此,在每一次演進階段中,結構模型之節點個數與元素個數皆不相同,故在每一次演進之初,皆以動態記憶體配置的方式來宣告此演進階段之有限元素模型所需之陣列空間。 在結構最佳化演進中,對於不同之設計限制條件,須以不同之移除準則移除無效率元素,以得到最佳之結構拓樸圖形,供結構設計之用。本研究共分三大主題探討結構最佳化演進,分別為靜力問題、動力問題以及其他物理場域問題。其中靜力問題中細分為應力設計限制條件、勁度設計限制條件、位移設計限制條件以及挫屈載重設計限制條件;動力問題中以不同之移除準則移除無效率元素,以調整結構之自然振動頻率,其中細分為增大、降低特定模態之自然振動頻率,材料最節省的設計限制條件下自然振動頻率保持定值,增大兩特定模態自然振動頻率之差值,以及多重自然振動頻率限制條件;其他物理場域的問題中,本文指出熱傳導與靜電場問題兩者場域函數、場域函數梯度向量代表之物理意義,具有相關性,可使用相同之方法與理論來建立兩者之有限元素模型,來模擬兩者之物理行為,故兩者之結構最佳化演進方法完全相同,並有熱通量設計限制條件、電場強度設計限制條件之論述。 | zh_TW |
dc.description.provenance | Made available in DSpace on 2021-06-13T07:47:47Z (GMT). No. of bitstreams: 1 ntu-94-R92521212-1.pdf: 6441420 bytes, checksum: 8033056ee3b77b70eeddd4b9a8d26d1e (MD5) Previous issue date: 2005 | en |
dc.description.tableofcontents | 第一章 緒論 1
1.1 研究動機和背景 1 1.2 研究目的 2 1.3 研究內容 2 第二章 結構最佳化演進之介紹 5 2.1 結構設計之程序 5 2.2 結構最佳化的分類 6 2.3 文獻回顧 7 2.4 結構最佳化演進 9 2.4.1 移除準則 9 2.4.2 改良式結構最佳化演進 10 2.4.3 停止準則 12 2.4.4 棋盤式型態 13 第三章 結構最佳化演進程式開發 19 3.1 程式基本架構 19 3.2 有限元素分析軟體ABAQUS 20 3.3 程序流程之控制(一) 22 3.4 資料讀取與彙整 23 3.5 最佳化演進演算法 24 3.5.1 功能指標 24 3.5.2 平滑化技巧 25 3.5.3 多重載重 26 3.5.4 形狀最佳化 27 3.6 程序流程之控制(二) 27 第四章 演算法與實例驗證(一)— 靜力問題 33 4.1 應力限制條件 33 4.1.1 移除準則 33 4.1.2 功能指標 35 4.1.2.1 二維問題 35 4.1.2.2 三維問題 38 4.1.3 演進流程 41 4.1.4 實例分析 42 4.2 勁度限制條件 45 4.2.1 移除準則 46 4.2.2 功能指標 48 4.2.2.1 二維問題 48 4.2.2.2 三維問題 50 4.2.3 演進流程 51 4.2.4 實例分析 52 4.3 位移限制條件 55 4.3.1 移除準則 55 4.3.2 功能指標 57 4.3.2.1 二維問題 57 4.3.2.2 三維問題 59 4.3.3 演進流程 60 4.3.4 實例分析 61 4.4 挫屈載重限制條件 62 4.4.1 移除準則 62 4.4.2 功能指標 64 4.4.3 演進流程 67 4.4.4 實例分析 68 第五章 演算法與實例驗證(二)— 動力問題 195 5.1 簡介 195 5.2 敏感度分析 195 5.3 不同類型之自然振動頻率限制條件 197 5.3.1 增大自然振動頻率 197 5.3.2 降低自然振動頻率 198 5.3.3 使自然振動頻率保持定值 198 5.3.4 增大兩模態自然振動頻率之差距 199 5.3.5 多重自然振動頻率限制條件 200 5.4 實例分析 201 第六章 演算法與實例驗證(三)— 其他場域問題 243 6.1 熱傳問題 243 6.1.1 移除準則 243 6.1.2 功能指標 244 6.1.3 演進流程 247 6.1.4 實例分析 248 6.2 靜電場問題 249 6.2.1 實例分析 250 第七章 結論與展望 275 7.1 結論 275 7.2 展望 276 參考文獻 279 | |
dc.language.iso | zh-TW | |
dc.title | 應用有限元素套裝軟體ABAQUS於結構最佳化演進 | zh_TW |
dc.title | Application of Finite Element Package ABAQUS in Evolutionary Structural Optimization | en |
dc.type | Thesis | |
dc.date.schoolyear | 93-2 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 陳俊杉(Chuin-Shan Chen),徐業良(Yeh-Liang Hsu),郭世榮(S. R. Kuo) | |
dc.subject.keyword | 結構最佳化演進,拓樸最佳化,ABAQUS, | zh_TW |
dc.subject.keyword | evolutionary structural optimization,ESO,topology optimization,ABAQUS, | en |
dc.relation.page | 284 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2005-07-26 | |
dc.contributor.author-college | 工學院 | zh_TW |
dc.contributor.author-dept | 土木工程學研究所 | zh_TW |
顯示於系所單位: | 土木工程學系 |
文件中的檔案:
檔案 | 大小 | 格式 | |
---|---|---|---|
ntu-94-1.pdf 目前未授權公開取用 | 6.29 MB | Adobe PDF |
系統中的文件,除了特別指名其著作權條款之外,均受到著作權保護,並且保留所有的權利。