「世大智科/天才家居」-我們創業囉
Contact Professor: Yeh-Liang Hsu (徐業良)

八十二學年度元智大學機械工程研究所孫自立碩士論文

Master thesis by T. L. Sun, Mechanical Engineering Department, Yuan Ze University, 1994

82碩士論文:結構與型態最佳化設計

  結構與形態最佳化設計嘗試整合幾何模型, 結構分析和最佳化演算法, 成為一個完整且自動的電腦輔助設計程序. 其主要目的在決定一個二維或三維空間零件的邊界形態, 在受到幾何及應力, 形變和自然頻率等結構上的限制條件下所需之最小重量形態.本研究將從一般廣為設計者所採用的一次最佳化方法--線性序列規劃法的修正研究, 以使其更穩定且更有效率地解決在一般結構與形態最佳化問題, 包含有連續式及非連續式設計變數的最佳化問題演算過程, 最後應用零次最佳化方法概念在二維形態最佳化設計上.

Structure and Shape Optimal Design

  Structural and shape optimization attempts to integrate geometrical modeling, structural analysis, and optimization into one complete and automated computer aided design process. It determines the shape of the boundary of a two- or three-dimensional structural component of minimum mass under constraints on geometry and structural response such as stress, displacements and natural frequencies. This thesis studies a widely used first order optimzation algorithm--Sequential Linear Programming method(SLP), SLP is modify so that it can solve structural and shape optimization problems more efficiently, including continuous and dsicrete variables problems. Finally the zeroth order optimization method is presented for two dimensional shape optimization problems.