臺灣博碩士論文加值系統

本研究係運用有限元素法對基於B-spline曲線樑之撓性雙穩態機構(compliant bistable mechanism)進行力與位移的特性分析。其機構組成包含樑(beams)與質量塊(shuttle mass)，每一個樑皆具有一個強化段(reinforced segment)；樑之造型為B-spline的曲線型式。調整B-spline曲線的控制點位置與強化段的長度，藉以分析模擬形狀不同的撓性機構；由模擬分析結果可得到其力與位移之曲線圖，用以判讀其雙穩態特性，進而獲得具備雙穩態特性之撓性機構設計。
最佳化設計的目標為獲致撓性雙穩態機構之輸出力的最大值與最小值接近設定的目標值。除了運用有限元素法進行雙穩態特性分析，並運用基因演算法進行最佳化設計，以得到實驗原型之B-spline曲線的控制點位置參數與強化段的長度參數。使用電腦數值控制雕銑機加工POM板材，以得到經最佳化設計的實驗原型。實驗量測原型之力與位移的關係，實驗結果與分析結果一致。

In this research, the finite element method is adopted to analyze the force and the displacement relation of a compliant bistable mechanism with B-spline curved beams. The mechanism consists of B-spline curved beams and a shuttle mass. The curve beams have a reinforced segment at the center of each beam.
Nearly equivalent maximum force output in the forward and backward motion direction of the mechanism is achieved by an optimization design approach. The optimization design approach is based on a genetic algorism. The force-displacement relation of the mechanism is obtained by finite element analyses. The design parameters are the control points of the B-spline curve and the length of the reinforced segment. Prototypes are fabricated by a numerical controlled engraving machine. Experiments are carried out to measure the force-displacement curve of the fabricated prototype. The experimental results agree with the results of the finite element analyses.

誌謝 i
摘要 ii
Abstract iii
目錄 iv
圖目錄 vi
表目錄 viii
第一章 緒論 1
1.1. 研究背景及動機 1
1.2. 文獻回顧 2
1.3. 論文架構 2
第二章 機構原理與設計概念 4
2.1. 撓性雙穩態機構原理 4
2.2. 撓性雙穩態機構的設計 5
2.3. B-spline曲線 5
2.4. 有限元素分析 8
2.5. 基因演算法與最佳化設計 8
第三章 機構設計及分析 14
3.1. 雙穩態機構設計 14
3.2. 雙穩態機構分析 14
3.3. 最佳化設計 14
第四章 實驗與特性分析 28
4.1. 原型設計製作 28
4.2. 實驗裝置 28
4.3. 量測結果 29
第五章 結論 36
參考文獻 37

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