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柔性凸輪曲線的NURBS表達與多目標遺傳算法優(yōu)化
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    摘要:

    NURBS曲線通過調整節(jié)點矢量、控制頂點位置和權因子能夠優(yōu)化曲線形狀,因此利用NURBS曲線可以構造柔性的凸輪曲線。為了同時滿足凸輪機構的運動學和動力學性能,建立了凸輪曲線的多目標優(yōu)化模型,并提出一種集成精英保留策略、目標達到法選擇策略和快速非支配排序算法的混合遺傳算法,求解凸輪曲線的多目標優(yōu)化模型。優(yōu)化實例表明,該混合遺傳算法可以有效解決多目標優(yōu)化問題,獲得綜合特性良好的凸輪曲線。

    Abstract:

    A method to express the flexible cam curve with continuous jerk by using quintic NURBS curve was presented. Then the cam curve could be optimized by adjusting knot vector, control points and weight factors of NURBS curve. The multiobjective optimization for a cam curve was described to satisfy both kinetic and dynamic requirements. To solve the optimization model for NURBS cam curve, a hybrid genetic algorithm combining elitism strategy, selection strategy based on goal attainment method and fast non-dominated sorting algorithm was proposed. The optimization example illustrated that the presented hybrid genetic algorithm could solve multiobjective optimization problem and achieve cam curve with good synthetic performances.

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葛榮雨,李世偉,劉莉.柔性凸輪曲線的NURBS表達與多目標遺傳算法優(yōu)化[J].農業(yè)機械學報,2008,39(2):155-158.[J]. Transactions of the Chinese Society for Agricultural Machinery,2008,39(2):155-158.

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