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切削参数优化问题通常是多约束、非线性的,通过对其目标函数进行分析,发现这类问题的最优解通常位于可行域边界上。针对该问题的求解,在约束处理方法上引入了非固定多段映射罚函数法和半可行域概念,并考虑到绝对半可行域宽度导致的不同约束条件难以同步得到满足问题,提出了相对半可行域设置方法,即将半可行域宽度与各约束许用值的相对误差相对应,应用于粒子群算法实现了切削参数优化,并通过实例计算对所提出的方法进行了验证。
The optimization of cutting parameters is usually multi-constrained and nonlinear. By analyzing its objective function, it is found that the optimal solution of such problems is usually located on the boundary of feasible region. In order to solve this problem, the non-fixed multi-section mapping penalty function method and the semi-feasible domain concept are introduced in the constraint processing method. Considering that the different constraints caused by the width of the absolute semi-feasible domain are difficult to be satisfied synchronously, a relative semi-feasible The domain setting method, that is to say, the semi-feasible domain width corresponds to the relative error of each constraint allowable value, is applied to the particle swarm optimization algorithm to optimize the cutting parameters. The method is validated by example calculation.