本文提出以應力為基之迭代式拓樸設計方法（SITD），改善BESO與Fully stressed兩種方法迭代次數過多之缺點，增加可以設定應力限制條件之功能，來得到一個簡單快速可以求解得符合安全性之結構拓樸。本文亦提出填補元素策略，當有元素超過容許應力時，以增加周圍元素方式減輕超過容許應力元素之應力值，使得可以繼續在整體結構中減少元素之個數。本文中包含五個設計實例，分別與AVC與BESO兩種拓樸最佳化方法比較，從最終設計結果之最大應力值、剩餘元素個數與迭代次數等參數可看出本文提出之應力為基之迭代式拓樸設計方法之優點。

This research proposes an efficient stress-based iterative topology design method (SITD) that requires less computational cost than the fully stressed method and the BESO method while provides a unique strength - the resultant structural configuration will automatically meet the user-defined maximum stress limit. The proposed iterative method gradually removes lower stressed elements until the maximum stress reaches the preset value. After the structure reaches the preset maximum stress value, a local reinforcement strategy can then be used to strengthen the region with the current maximum stress by adding elements. The reinforcement enables more elements in other regions can be removed so as to further reducing weight while continually sustaining the maximum stress under the limit. Five illustrative design examples are solved by the proposed stress-based iterative method, the adaptive volume constraint algorithm for stress-limit based topology optimization (AVC), and the BESO method. The results confirm the advantages of the proposed methods over the compared algorithms.

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