本論文主要的目的在研究單汽缸引擎的動態響應與最佳化設計，文中將分析引擎在運轉週期的動態響應，例如:平均扭矩、搖撼力、側向力及各元件之受力等，文中並假設曲柄軸與連桿之長度為隨機變數，汽缸內之氣體壓力為隨機過程，分析這些力矩及受力的平均值及變異係數。最後再利用粒子群最佳化演算法(PSO)，以連桿與曲柄軸的長度及連桿的質心位置為設計變數，來設計具最佳化平均扭矩輸出之單汽缸引擎。文中將以數個數值範例來探討連桿與曲柄軸長度比，連桿質心位置及曲軸轉速等參數與單汽缸引擎動態響應的關係。並討論隨機參數動態響應的影響，其結果將與蒙地卡羅模擬值作比較。

The main object of this thesis is to study the dynamic responses and optimal design of a single-cylinder engine. The dynamic responses such as average torque, shaking force, bearing forces acting on the wrist-pin, crank-pin and piston, are analyzed. The crankshaft length and connecting-rod length are assumed to be random variables, and the gas pressure in cylinder is random process. Accordingly the mean and coefficient of variation of the dynamic responses are derived. At last, a single-cylinder engine possessing the optimal average torque output is designed by using the Particle Swarm Optimization (PSO), considering the connecting-rod length, crankshaft length and mass center position of connecting-rod as design variables. Several numerical examples are illustrated to study the relationship between the dynamic responses and the connecting-rod length and crankshaft length ratio, mass center position of the connecting-rod, and crankshaft angular speed. In addition, the effects of random parameters on the dynamic responses will be investigated, and the results will be compared with those obtained by using the Monte Carlo simulation.

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