丝杠旋铣预测建模与自适应优化方法

刘超,丁浩,郑娟娟,黄绍服,罗祖青,沈刚

Predictive modeling and adaptive optimization method for ball screw whirling milling process

Chao LIU,Hao DING,Juanjuan ZHENG,Shaofu HUANG,Zuqing LUO,Gang SHEN

表 3 几种常见的混沌映射

Tab.3 Several common chaotic mappings

映射名称 映射公式 映射范围 Logistic $ {x_{i+1}} = \mu {x_i} (1 - {x_i}),\mu \in (0,4] $ [0,1.0] Circle $ {x_{i+1}} = \text{mod} [{x_i}+0.2 - 0.5 \sin \;(2{\text{π}} {x_i})/(2{\text{π}}) ,1] $ [0,1.0] Sine $ {x_{i+1}} = \mu \sin\; (\text {π} {x_i}),\mu \in [0,1.0] $ [0,1.0] Singer $ \begin{gathered} {x_{i+1}} = \mu (7.86{x_i} - 23.31x_i^2+28.75x_i^3 - 13.303x_i^4) \\ \mu \in (0.9,1.08) \\ \end{gathered} $ [0,1.0] Cubic $ {x_{i+1}} = \rho (1 - x_i^2) $ [0,1.0]