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題 名 | 規則導向形狀最佳化結構承受動態應力下之分析=Rule-Base Shape Optimization under Dynamic Boundary Conditions |
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作 者 | 柴雲清; 王舒柏; | 書刊名 | 中州學報 |
卷 期 | 26 2007.12[民96.12] |
頁 次 | 頁93-103 |
分類號 | 446.011 |
關鍵詞 | 最佳化; 有限元素法; 規則導向; Optimization; Finite element method; Rule-based; |
語 文 | 中文(Chinese) |
中文摘要 | 最佳化理論大致上是一種對目標函數尋找極大或極小值的問題,本研究主要是以有限元素法來進行結構分析,並搭配規則導向形狀最佳化應用,以得到各元素之應力,並透過權重值的調整搭配以達到更好的收斂效果及最終形狀。一般工程最佳化設計問題有兩種模糊性:「評估、計算最佳化模型的目標函數與限制條件」 的不確定性及「建立最佳化模型」的不確定性。當設計者建立了工程最佳化設計問題的數學模型後,大部份是以數學規劃法來求得最佳數值解,而在一般的工程最佳化問題中,設計者每每在糢糊的環境下作決策,此種模糊性與以明確數學定義的數學規劃法並不能完全配合,將導致叠代沒有效率,甚至發散。在本論文中將使規則導向形狀最佳化原理以判斷分析元素應力存在之大小,來達到最佳輕量化的效果,經實例驗證後;證實本文以規則導向之最佳化法對結構之動態作動之機件最佳化為正確可行。 |
英文摘要 | The main goal of this research is trying to obtaining the shape optimization of mechanical part under dynamic loads. Usually, the first step of optimization is to define object function and independent variables. But the shape of mechanical part (the object function) is difficult to define by the stress field (the independent variables). In this research, in order to get the minimum weight of the mechanical part under dynamic loads, the reasonable rules of decreasing weight is introduced. These main purposes of these rules are: (1) cut the unnecessary weight which under small stress caused by loads (2) maintain the connectivity of the shape of mechanical part. By Finite Element Method (FEA), the structure of the mechanical part can be define by many small units (elements). The dynamical load is defined by different loads of time steps. The all elements stress under dynamical load can be achieved. Applying the rules, some of candidate elements can be eliminated. Repeat the rules until there is no element can be eliminated, the optimal shape is obtained. |
本系統中英文摘要資訊取自各篇刊載內容。