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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 鍾添東(Tien-Tung Chung) | |
| dc.contributor.author | Wei-De Wang | en |
| dc.contributor.author | 王維德 | zh_TW |
| dc.date.accessioned | 2021-06-15T11:15:51Z | - |
| dc.date.available | 2016-08-25 | |
| dc.date.copyright | 2016-08-25 | |
| dc.date.issued | 2016 | |
| dc.date.submitted | 2016-08-19 | |
| dc.identifier.citation | [1] A. G. M. Mitchell, “The limits of economy of material in framed structures,” Philosophical Magazine, series 6, Vol. 8, No. 47, pp.589-597, 1904.
[2] L. A. Schmit, B. Farshi, “Some approximation concepts for structural synthesis,” AIAA Journal, Vol. 12, No. 5, pp. 692-699, 1974. [3] A. K. Noor, H. E. Lowder, “Structural reanalysis via a mixed method,” Computers, Structures, Vol. 5, No. 1, pp. 9-12, 1975. [4] R. T. Haftka, C. P. Shore, “Approximation methods for combined thermal/structural design,” NASA Technical Paper 1428, 1979. [5] J. H. Starnes, R. T. Haftka, “Preliminary design of composite wings for buckling, strength, and displacement constraints,” Journal of Aircraft, Vol. 16, No. 8, pp. 564-570, 1979. [6] C. Fleury, V. Braibant, “Structural optimization: a new dual method using mixed variables,” International Journal for Numerical Methods in Engineering, Vol. 23, No. 3, pp. 409-428, 1986. [7] A. S. L. Chan, E. Turlea, “An approximation method for structural optimisation,” Computers, Structures, Vol. 8, No. 3-4, pp. 357-363, 1978. [8] K. Svanberg, “The method of moving asymptotes—a new method for structural optimization,” International Journal for Numerical Methods in Engineering, Vol. 24, No. 2, pp. 359-373, 1987. [9] R. T. Haftka, J. A. Nachlas, L. T. Watson, T. Rizzo, R. Desai, “Two-point constraint approximation in structural optimization,” Computer Methods in Applied Mechanics and Engineering, Vol. 60, No. 3, pp. 289-301, 1987. [10] G. M. Fadel, M. F. Riley, J. M. Barthelemy, “Two point exponential approximation method for structural optimization,” Structural Optimization, Vol. 2, No. 2, pp. 117-124, 1990. [11] A. D. Belegundu, S. D. Rajan, J. Rajgopal, “Exponential approximations in optimal design,” Research in Structures, Structural Dynamics and Materials 1990, NASA conference publication 3064, pp. 137-150, 1990. [12] L. P. Wang, R. V. Grandhi, “Efficient safety index calculation for structural reliability analysis,” Computers, Structures, Vol. 52, No. 1, pp. 103-111, 1994. [13] L. P. Wang, R. V. Grandhi, “Improved two-point function approximations for design optimization,” AIAA Journal, Vol. 33, No. 9, pp. 1720-1727, 1995. [14] J. A. Snyman, N. Stander, “New successive approximation method for optimum structural design,” AIAA Journal, Vol. 32, No. 6, pp. 1310-1315, 1994. [15] W. H. Zhang, C. Fleury, “A modification of convex approximation methods for structural optimization,” Computers, Structures, Vol. 64, No. 1-4, pp. 89-95, 1997. [16] S. Xu, R. V. Grandhi, “Effective two-point function approximation for design optimization,” AIAA Journal, Vol. 36, No. 12, pp. 2269-2275, 1998. [17] G. Xu, K. Yamazaki, G. D. Cheng, “A new two-point approximation approach for structural optimization,” Structural and Multidisciplinary Optimization, Vol. 20, No. 1, pp. 22-28, 2000. [18] M. S. Kim, J. R. Kim, J. Y. Jeon, D. H. Choi, “Efficient mechanical system optimization using two-point diagonal quadratic approximation in the nonlinear intervening variable space,” KSME International Journal, Vol. 15, No. 9, pp. 1257-1267, 2001. [19] M. Bruyneel, P. Duysinx, C. Fleury, “A family of MMA approximations for structural optimization,” Structural and Multidisciplinary Optimization, Vol. 24, No. 4, pp. 263-276, 2002. [20] G. Magazinovic, “Two-point mid-range approximation enhanced recursive quadratic programming method,” Structural and Multidisciplinary Optimization, Vol. 29, No. 5, 2005. [21] A. A. Groenwold, L. F. P. Etman, J. A. Snyman, J. E. Rooda, “Incomplete series expansion for function approximation,” Structural and Multidisciplinary Optimization, Vol. 34, No. 1, pp. 21-40, 2007. [22] J. R. Kim, D. H. Choi, “Enhanced two-point diagonal quadratic approximation methods for design optimization,” Computer Methods in Applied Mechanics and Engineering, Vol. 197, No. 6-8, pp. 846-856, 2008. [23] 邱求慧，結構最佳設計保守近似法之改良，台大機械工程學研究所博士論文，2000。 [24] 陳建元，兩點近似法於結構最佳化設計之應用，台大機械工程學研究所碩士論文，2002。 [25] 張耀仁，結構最佳化設計之準二次兩點保守近似法，台大機械工程學研究所碩士論文，2007。 [26] 陳奕璋，結構最佳化之指數移動漸近線近似法，台大機械工程學研究所碩士論文，2010。 [27] 陳俊傑，結構最佳化之新式混合兩點近似法，台大機械工程學研究所碩士論文，2012。 [28] 江奇鴻，結構最佳化之加強兩點指數近似法，台大機械工程學研究所碩士論文，2013。 | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/49095 | - |
| dc.description.abstract | 本文根據移動漸近線近似法，提出一個新型結構最佳化近似方法，稱為準二次移動漸近線近似法。在此方法中，藉由在近似函數當中加入一個準二次項來提升近似函數的保守度，並利用前一設計點的靈敏度值將近似函數中的待定係數求出。在此近似函數當中，被視為變數虛擬上下界的兩個待定參數，加以調整後可提升近似函數的凸度，並增加近似函數的準確性。經由此近似法，可將結構之行為函數，諸如應力、位移、共振頻率等，轉化為設計變數的顯函數。如此一來，結構最佳化問題即可使用傳統數值方法加以求解。另外，本文整合最佳化理論、電腦輔助繪圖軟體、有限元素分析軟體及程式設計軟體，發展一套結構最佳化之整合程式，藉以求解結構最佳化問題。結果顯示在一般結構最佳化問題中，利用準二次移動漸近線近似法可準確而快速地找出最佳解，同時驗證此近似法在結構最佳化的效率及實用性。 | zh_TW |
| dc.description.abstract | This thesis presents a new approximation method for structural optimization called quasi-quadratic method of moving asymptotes approximation (QMMA), which is derived from method of moving asymptotes approximation (MMA). By adding a nonspherical second order term, the approximate function can be constructed with respect to the function value of current design point and sensitivities of two successive design points. With the use of this new approximation method, the structural behavior functions, such as stress, natural frequency or displacement functions, can be converted to explicit functions of design variables. Therefore, structural optimization problem can be solved efficiently by applying conventional optimization techniques. Moreover, a new computer program is developed by integrating CAD software, FEM analysis software and optimization theorem to solve structural optimization problems. The result indicates that the proposed approximation method can quickly find the convergence and accurate solutions for some typical structural optimization problems, and it also verified that this new method is practical and efficient in structural optimization. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-15T11:15:51Z (GMT). No. of bitstreams: 1 ntu-105-R00522635-1.pdf: 1690160 bytes, checksum: 9876f0a20c47e08501d7487f39e925ee (MD5) Previous issue date: 2016 | en |
| dc.description.tableofcontents | 口試委員會審定書 I
誌謝 II 中文摘要 III ABSTRACT IV CONTENTS V LIST OF FIGURES VIII LIST OF TABLES X LIST OF SYMBOLS XII LIST OF APPROXIMATION METHODS XV Chapter 1 Introduction 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 Methods 9 2.1 Structural optimization theory 9 2.1.1 Treatment of design variables 10 2.1.2 Treatment of objective function 10 2.1.3 Treatment of constraints 11 2.2 Single-point approximation methods 14 2.2.1 Direct linear approximation method 14 2.2.2 Reciprocal approximation method 14 2.2.3 Conservative and convex approximation method 15 2.2.4 Method of moving asymptotes 16 2.3 Two-point approximation methods 16 2.3.1 Two-point exponential approximation 17 2.3.2 Gradient-based MMA 18 2.3.3 Exponential MMA 18 2.4 Direct quadratic approximation method 20 2.5 Quasi-quadratic approximation methods 21 2.5.1 Spherical approximation method 21 2.5.2 Two-point adaptive nonlinearity approximation-3 22 2.5.3 Incomplete series expansion 23 2.5.4 New mixed two-point approximation method 24 2.5.5 Enhanced two-point exponential approximation 25 Chapter 3 Quasi-Quadratic MMA Approximation 27 3.1 Quasi-quadratic MMA 28 3.2 Sensitivity analysis 30 3.3 Numerical optimization method 31 3.4 Procedure of optimization program 32 Chapter 4 Optimization of Small Scale Structure 35 4.1 3-bar truss optimization 35 4.2 4-bar truss optimization 37 4.3 6-bar truss optimization 39 4.4 10-bar truss optimization 41 4.5 25-bar truss optimization 43 4.6 Multi-section circular beam optimization 45 4.7 Multi-section tube beam optimization 47 4.8 Multi-section rectangular beam optimization 49 Chapter 5 Optimization of Large Scale Structure 52 5.1 Open-side type gantry structure optimization 52 5.1.1 Gantry structure self-weight optimization 54 5.1.2 Gantry structure modal optimization 56 5.1.3 Gantry structure combinational optimization 57 5.2 Y-directional Planar Motion Plate Structure 59 Chapter 6 Conclusions and Suggestions 63 6.1 Conclusions 63 6.2 Suggestions 64 References 65 Appendix: User manual for integrated optimization program 68 Vitae 76 | |
| dc.language.iso | en | |
| dc.subject | 兩點近似法 | zh_TW |
| dc.subject | 最佳化設計 | zh_TW |
| dc.subject | 有限元素法 | zh_TW |
| dc.subject | 結構最佳化 | zh_TW |
| dc.subject | Approximation method | en |
| dc.subject | Finite element method | en |
| dc.subject | Optimum design | en |
| dc.subject | Structural optimization | en |
| dc.title | 結構最佳化之準二次移動漸近線近似法 | zh_TW |
| dc.title | Quasi-Quadratic Method of Moving Asymptotes Approximation for Structural Optimization | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 104-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 劉正良(Cheng-Liang Liu),史建中(Chien-Jong Shih) | |
| dc.subject.keyword | 兩點近似法,結構最佳化,最佳化設計,有限元素法, | zh_TW |
| dc.subject.keyword | Approximation method,Structural optimization,Optimum design,Finite element method, | en |
| dc.relation.page | 76 | |
| dc.identifier.doi | 10.6342/NTU201603322 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2016-08-21 | |
| 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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