頁籤選單縮合
題名 | 折減基底法於結構靜力再分析之應用=Application of Reduced-basis Methods in Structural Static Reanalysis |
---|---|
作 者 | 呂良正; 黃仲偉; | 書刊名 | 國立臺灣大學工程學刊 |
卷期 | 71 1997.10[民86.10] |
頁次 | 頁73-89 |
分類號 | 441.1 |
關鍵詞 | 折減基底法; 結構靜力再分析; 單位正交化; Reduced-basis method; Structural static reanalysis; Orthonormalization; |
語文 | 中文(Chinese) |
中文摘要 | 本文探討折減基底法於結構靜力再分析的應用。該法於再分析應用時之主要缺點有二,首先是基底向量的選定並無特定規則可循,其次為所需之基底向量個數無法有效率地自動決定。目前文獻中有關基底向量的選定以Kirsch所提方法較佳,本文利用最佳化理論提出了另一種產生基底向量的方式。 而為了有效地自動決定基底向量個數,本文首先利用Gram-Schmidt單位正交化流程將原折減系統變為不互耦, 由此不互耦特性,進而推導出一個有效率的基底向量個數機動決定的準則。最後經由數個算例顯示所提之單位正交化折減法同時兼具準確與效率。 |
英文摘要 | This paper is focused on the application of reduced-basis methods in structural static reanalysis. Currently, there are two main drawbacks in such an application. First, no specific rules can be followed for generating basis vectors in the reduced-basis method. Second, the required number of basis vectors cannot be determined efficiently. Regarding the generation of basis vectors, Kirsch's method seems to be the best one presently. Based on optimization methods, another way of producing basis vectors is investigated in this study. In order to determine efficiently the required number of basis vectors, a Gram-Schmidt orthonormalization procedure is employed first for uncoupling the reduced system. Then, a computation-inexpensive criterion is proposed for the automatic determination of the required number of basis vectors. Finally, the accuracy and efficiency of the present method are verified by several examples. |
本系統之摘要資訊系依該期刊論文摘要之資訊為主。