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 本論文主要目的在設計一引擎被動式懸吊系統，文中應用遺傳演算法(Genetic Algorithms, GAs) 來設計出一最佳的引擎減振懸吊彈簧及引擎腳最佳放置位置，使引擎振動透過引擎腳傳至車架的傳遞力(Transmitted Force)最小。首先模擬引擎系統為六個自由度的立體方塊模組，引擎模組有彈簧墊片支撐，引擎不平衡搖動力使引擎本體產生振動。本文利用平面剛體運動公式推導出單一汽缸作用於引擎本體的力及力矩，接著推導出直列式四汽缸引擎在質心的引擎搖動力及搖動力矩。文中的適應函數是引擎腳傳遞力均方值權重和並加一懲罰函數值，而懲罰函數則與引擎本體最大位移有關。文中數個範例，分別對三個引擎腳彈簧彈性係數及放置位置進行最佳化，並比較最佳化前、後的結果，顯示同時以引擎腳彈簧彈性係數及設置位置作為設計變數，最佳化後引擎腳的傳遞力比原始系統低，即使引擎怠轉的速度改變，總傳遞力也比原始系統低。因此本文設計的引擎隔振系統能夠有效降低引擎振動的傳遞力。
 The main object of this thesis is to design an engine passive suspension system. In the study the genetic algorithms (GAs) is applied to design the optimal suspension springs of engine mounts and their locations to minimize the transmitted force to the floor. The engine system is simulated as a six-degrees of freedom system which is treated as a solid block supported by a number of springs which are excited by the unbalance forces to make engine vibration. The shaking force and the shaking moment of single cylinder exerted on engine body are derived in terms of the theory of kinetics of rigid body , and then they are further derived for the case of four cylinders in-line engine . The fitness function is a weighted sum of mean square value of the transmitted force and the penalty function which is related to the admittable translation displacement of engine body. Several numerical examples are illustrated, the transmitted forces of the optimal system are compared with the origin system. It indicates that the transmitted force of optimal system which uses both the spring constants and their locations as design variables is lower than the origin system. They are still lower than the origin system even though the engine idle speed changes. Hence the optimal isolation system proposed in this thesis can effectively reduce the transmitted force caused by engine vibration.
 摘要.......................................................I Abstract..................................................II 誌謝.....................................................III 符號對照表................................................IV 目錄.....................................................VII 圖目錄....................................................IX 表目錄...................................................XII 第一章 緒論................................................1 1.1 前言..................................................1 1.2 文獻回顧..............................................4 1.4 研究動機與目的.......................................10 1.5 論文大綱.............................................10 第二章 遺傳演算法.........................................12 2.1 遺傳演算法之介紹......................................12 2.2 運算模式..............................................14 2.2.1 參數設定............................................14 2.2.2 定義適應函數 ........................................15 2.2.3 初始族群之產生......................................16 2.2.4 字串解碼............................................16 2.2.5 複製 (Selection)....................................16 2.2.6 交配 (Crossover)....................................18 2.2.7 突變 (Mutation).....................................19 2.3 控制參數..............................................20 2.4 遺傳演算法的特性......................................21 第三章 數學模式分析.......................................23 3.1 系統之架構與數學模式..................................23 3.2 引擎腳之傳遞力........................................31 第四章 引擎搖動力分析.....................................33 4.1 單一汽缸受力分析......................................33 4.2 直列式(In-Line Type)四缸..............................41 第五章 遺傳演算法之參數最佳化設計.........................44 5.1 範例一 : 三個引擎腳最佳化設計，無限制條件(引擎腳彈簧彈性係數為設計變數).............................................50 5.2 範例二 : 三個引擎腳最佳化設計，附加限制條件(引擎腳彈簧彈性係數為設計變數)...........................................59 5.3 範例三 : 三個引擎腳及放置位置最佳化設計，附加限制條件(引擎腳彈簧彈性係數及放置位置為設計變數).......................68 第六章 結論與未來之展望...................................78 6.1 結論..................................................78 6.2 未來之展望............................................79 參考文獻..................................................80 附錄......................................................86 作者簡介..................................................89
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 1 具隨機參數單汽缸引擎動態響應與最佳化設計之研究

 1 【20】 陳心田(2003)，「服務品質、顧客滿意度與顧客後續行為意圖：以海軍修護體系為例」，科技管理學刊，第八卷，第二期，頁63-89。 2 【3】 方世榮(2002)，「關係價值、關係品質與忠誠度之探討－零售銀行的實證研究」，管理學報，第十九卷，第六期，頁1097-1130。 3 【33】 韓敬富(2003)，「我國榮民福利之剖析」，社區發展季刊，第一○一期，頁487-502。

 1 引擎隔振系統配置之研究 2 具隨機參數單汽缸引擎動態響應與最佳化設計之研究 3 具撓性車體汽車座椅系統之隔振設計 4 平行遺傳演算法於營建排程運用之探討 5 基於環帶光通量光學設計之優質照明研究 6 水平轉軸式風力發電機葉片最佳化設計與最佳化葉片之疊層設計分析 7 S型節能舵幾何之參數化設計及計算模擬 8 仿生型船舶穩定翼升阻力數值模擬研究 9 運用二階最佳化方法設計引擎懸置系統 10 田口實驗法於NACA疊翼數值優化設計之應用及流場可視化 11 水平軸風機葉片氣動力性能分析與最佳化設計改進 12 圓形鑽石鋸片之有限元素模型更新與最佳化設計 13 膝關節輔具的最佳化設計與分析 14 基因演算法在風能函數參數之估算 15 風力發電機葉片翼型氣動力性能最佳化

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