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題名 | Optimal Boundary Constants for Cantilever Beams=利用最佳化判認懸臂樑之邊界參數最佳值 |
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作 者 | 侯怡仲; 曾錦煥; 林石甫; | 書刊名 | Proceedings of the National Science Council : Part A, Physical Science and Engineering |
卷期 | 21:2 1997.03[民86.03] |
頁次 | 頁126-133 |
分類號 | 440.133 |
關鍵詞 | 懸臂樑; 邊界; 參數; 最佳值; Optimization; Boundary parameter; Cantilever beam; Finite element model; |
語文 | 英文(English) |
中文摘要 | 在結構動態分析的領域中,有限元素法及模態試驗是最普遍的兩種分析工具。但只 依賴有限元素分析之結果而未經相關實驗之驗證即判斷結構的動態特性常導致錯誤結論。本 文即在解決有限元素模式的邊界條件模擬誤差,以模態試驗的結果為基準,以最佳化方法找 出邊界參數之最佳值。由最佳化的結果可發現,由於找到邊界參數之最佳值,使得懸臂樑的 模擬誤差大為降低。 |
英文摘要 | Usually, blades in bladed disk assemblies are connected to the disk by a "fir tree," "pin joint" or even integral construction; i.e., the blades and disk are machined into one piece. In such cases, the root flexibility cannot be neglected while investigating the dynamic behaviors of the blades. In this paper, by using modal data and optimum techniques, the boundary parameters in the finite element model for a cantilever beam with flexible roots will be identified. The identification problem is transformed into an optimum problem and then solved based on the Sequential Quadratic Programming (SQP) method. Two examples are presented. The first example for a theoretical model is used to verify that the formulation of the optimum problem defined here is workable. In the second example, adequate boundary parameters are identified based on practical modal data. The results show that the first three natural frequencies obtained from the finite element model are almost the same as the experimental data. The identification algorithm developed in this study can be applied to general types of flexible boundaries. |
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