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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 鍾添東 | |
| dc.contributor.author | Yi-Chang Chen | en |
| dc.contributor.author | 陳奕璋 | zh_TW |
| dc.date.accessioned | 2021-06-15T05:44:48Z | - |
| dc.date.available | 2010-08-20 | |
| dc.date.copyright | 2010-08-20 | |
| dc.date.issued | 2010 | |
| dc.date.submitted | 2010-08-19 | |
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| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/46992 | - |
| dc.description.abstract | 本文將結構最佳化中之保守近似法一般化，並提出基於移動漸進線近似法與高階凸線性近似法之保守近似法，稱為指數移動漸進線近似法。在此法之中，以兩連續設計點之函數值與靈敏度值建構近似函數，並利用設計變數之上下界增加近似函數之保守度。經由此近似法，可將結構之行為函數，諸如應力、位移、自然頻率及動態響應等，轉換成設計變數的顯函數；如此一來，運用傳統數值最佳化方法即能有效求解近似問題。本文並結合最佳化理論與有限元素分析軟體，發展一套整合程式以求解結構最佳設計問題。結果顯示在一般結構最佳設計問題之中，利用此法能快速找到收斂並且正確的解；同時也顯示出本法在結構最佳化中之效率及實用性。 | zh_TW |
| dc.description.abstract | This thesis generalizes the conservative approximation method for structural optimization and presents a new approach which is based on the method of moving asymptotes and higher order convex approximation, named exponential MMA. In this method, approximated functions are constructed by the function values and sensitivities of two successive design points; in addition, the functional convexities are improved by means of the bounds of design variables. With the use of the proposed approximation method, the structural behavior functions, such as stress, displacement, natural frequency or dynamic response, can be converted to the explicit form of design variables. Therefore, utilizing the conventional optimization techniques can efficiently solve the approximated problems. A computer program is also developed by integrating the optimization theorem and the finite element software ANSYS to solve structural optimum design problems. The result demonstrates that the proposed method can quickly find the convergent and accurate solutions for general structural optimization problems, and it also proves that this method is efficient and practical in structural optimization. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-15T05:44:48Z (GMT). No. of bitstreams: 1 ntu-99-R95522633-1.pdf: 1121506 bytes, checksum: a56bf5b495847b1751474e78f36bdcb0 (MD5) Previous issue date: 2010 | en |
| dc.description.tableofcontents | 誌謝 I
摘要 III Abstract V Table of Contents VII List of Figures IX List of Tables XI List of Symbols XIII Chapter 1 Overview 1 1.1 Introduction to structural optimization 1 1.2 Paper review 2 1.3 Strategies of research 6 1.4 Outline 7 Chapter 2 Approximation Method 9 2.1 Structural optimization theory 9 2.1.1 Treatment of design variable 10 2.1.2 Treatment of objective function 11 2.1.3 Treatment of constraint 11 2.2 Single-point approximation method 13 2.2.1 Direct linear approximation method 13 2.2.2 Reciprocal approximation method 14 2.2.3 Modified reciprocal approximation method 15 2.2.4 Posynomial approximation method 15 2.2.5 Conservative and convex approximation method 16 2.2.6 Method of moving asymptotes, MMA 17 2.2.7 Higher-order convex approximation method 18 2.3 Two-point approximation method 18 2.3.1 Two-point modified reciprocal approximation method 19 2.3.2 Two-point exponential approximation method 20 2.3.3 Two-point posynomial approximation method 21 2.3.4 Two-point adaptive nonlinear approximation 21 2.3.5 Two-point adaptive nonlinear approximation-1 22 2.3.6 Modified two-point approximation method 23 2.3.7 Gradient-based MMA 24 2.4 Direct quadratic approximation method 25 2.5 Quasi-quadratic approximation method 26 2.5.1 Spherical approximation method 26 2.5.2 Two-point adaptive nonlinear approximation-2 27 2.5.3 Modified convex approximation 29 2.5.4 Two-point adaptive nonlinear approximation-3 29 2.5.5 New two-point approximation approach 31 2.5.6 Quasi-quadratic two-point exponential approximation 32 Chapter 3 Generalized Conservative Approximation Method 35 3.1 Preface 35 3.2 Exponential MMA 36 3.3 Sensitivity analysis 41 3.4 Numerical optimization method 43 3.5 Procedure and architecture of optimization 44 Chapter 4 Optimization of Small Scale Structures 45 4.1 3-bar truss optimization 45 4.2 4-bar truss optimization 48 4.3 6-bar truss optimization 50 4.4 10-bar truss optimization 52 4.5 25-bar truss optimization 54 4.6 Multi-section circular beam optimization 56 4.7 Multi-section tube beam optimization 58 4.8 Multi-section rectangular beam optimization 61 Chapter 5 Optimization of Large Scale Structures 65 5.1 Carriage of planar motion stage 65 5.2 X-axis beam of AOI machine 70 Chapter 6 Conclusion and Suggestion 75 6.1 Conclusions 75 6.2 Suggestions 76 References 77 Appendix A: User Manual for Integrated Optimization Program 83 A.1 Architecture 83 A.2 Manipulation of the integrated program 84 A.3 Environment and setting 85 Appendix B: Optimum Design of a 3D Beam 91 B.1 Formulation of the 3D beam example 91 B.2 Execution process for the 3D beam example 92 | |
| dc.language.iso | en | |
| dc.title | 結構最佳化之指數移動漸進線近似法 | zh_TW |
| dc.title | Exponential MMA Approximation for Structural Optimization | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 98-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 吳文方,劉正良 | |
| dc.subject.keyword | 結構最佳化,保守近似法,凸線性近似法,有限元素法, | zh_TW |
| dc.subject.keyword | Structural optimization,Conservative approximation method,Convex linearization,Finite element method, | en |
| dc.relation.page | 94 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2010-08-19 | |
| dc.contributor.author-college | 工學院 | zh_TW |
| dc.contributor.author-dept | 機械工程學研究所 | zh_TW |
| 顯示於系所單位： | 機械工程學系 | |
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