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題 名 | The Path Generation of Planar Four-bar Mechanisms Using General Homotopy Method=一般同倫法用於平面四連桿機構之路徑合成 |
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作 者 | 金佩傑; | 書刊名 | 高雄師大學報. 自然科學與科技類 |
卷 期 | 39 2015.12[民104.12] |
頁 次 | 頁45-61 |
分類號 | 446.011 |
關鍵詞 | 同倫法; 四連桿機構; 路徑合成; Homotopy method; Four-bar mechanisms; Point-path generation; |
語 文 | 英文(English) |
中文摘要 | 同倫法為一種不需要起始猜測值即可用以求根的數值連續法,如果加上計算機與程式等軟硬體的配合,可以同時獲致可靠且有效率的結果。本文將同倫法應用於平面四連桿機構之路徑合成問題中,不僅可以在沒有起始猜測值的情況下迅速收斂,並且可以找出所有存在之設計組合,解決大部份用於機構合成數值方法所面臨的問題。文中針對五個精確點與九個精確點之路徑合成,提供完整的表列與圖形結果。 |
英文摘要 | Homotopy method is a numerical continuation method that can locate all the zeros of any given function without the specifying of initial estimates. With the assistance of proper programming technique, homotopy method can be efficient and reliable. The application of homotopy method on kinematic synthesis can resolve the inherent shortcomings that most numerical methods possess. This work presents a demonstration of homotopy method on the path generation of planar four-bar mechanisms. The examples of five and nine point-path synthesis are provided. The results of all real solutions are tabulated and the corresponding mechanisms are graphically displayed, so comparisons can be made with past publications. |
本系統中英文摘要資訊取自各篇刊載內容。