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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/52254

    Title: 隨機特性下之拓樸最佳化
    Other Titles: Probabilistic approach of topology optimization
    Authors: 何明翰;Ho, Ming-han
    Contributors: 淡江大學土木工程學系碩士班
    廖國偉;Liao, Kuo-wei
    Keywords: 拓樸最佳化;移動漸近線法;可靠度分析;雙迴圈;去偶合法;Topology optimization;MMA;FEM;reliability analysis;RIA;PMA;double loop;decouple;MPP;DTO;RBTO
    Date: 2010
    Issue Date: 2010-09-23 17:22:25 (UTC+8)
    Abstract: 本研究利用移動漸近線法(MMA)來處理定然式最佳化(DO)分析,因移動漸近線法能有效的近似目標函數與限制條件,且搭配移動限制的觀念,故使具有多變數與多限制條件之問題,能夠迅速地求解出最佳值。另外亦運用拓樸技術至結構最佳化中,使其結構成為拓樸最佳化(DTO)分析,並
    Reliability-Based Topology Optimization (RBTO) incorporates probabilistic analysis into topology optimization process to take randomness of design variables into account. Earlier researches have shown optimal topology obtained from RBTO is different with the one obtained from the deterministic optimization.
    A typical approach of RBTO is a nested double-loop approach where the outer loop conducts topology optimization and the inner loop deals with probabilistic analysis. The computational cost for this double-loop procedure is prohibitive for most practical problems. Moreover, topology optimization inherently possesses a large number of design variables making the problem more difficult. To overcome the high computational cost, researchers have suggested many alternative approaches such as the single-loop approach, the decoupling approach and the response surface method.
    In this study, we take advantage of the decoupling method, in which a group of auxiliary design points are found to replace original random design variables. The auxiliary design points are the MPP points obtained from the inverse reliability analysis. Because the MPP is corresponding to the predefined reliability, the auxiliary design points will force optimal design to vicinity of probabilistic boundary. The effectiveness and accuracy of our proposed method is investigated through several numerical problems. Our approach is shown to produce optimal topology reaching reliability requirement with less calculation. Note that in this approach, topology optimization and reliability analysis are conducted separately, and for each analysis, the existed commercial software is well developed and readily to provide a valuable design with least effort.
    Appears in Collections:[土木工程學系暨研究所] 學位論文

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