柔性凸轮曲线的NURBS表达与多目标遗传算法优化

摘要:

NURBS曲线通过调整节点矢量、控制顶点位置和权因子能够优化曲线形状，因此利用NURBS曲线可以构造柔性的凸轮曲线。为了同时满足凸轮机构的运动学和动力学性能，建立了凸轮曲线的多目标优化模型，并提出一种集成精英保留策略、目标达到法选择策略和快速非支配排序算法的混合遗传算法，求解凸轮曲线的多目标优化模型。优化实例表明，该混合遗传算法可以有效解决多目标优化问题，获得综合特性良好的凸轮曲线。

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.