基于LS和PSO的钢丝软轴摩擦力计算公式推导  

Research of Soft Shaft Friction Empirical Formula to Derivie Based on LS and PSO

作　　者：李健[1] 张宝[1] 徐敏[1] 李尽力 

机构地区：[1]广西科技大学机械工程学院,广西柳州545006

出　　处：《机械设计与研究》2016年第2期171-174,共4页Machine Design And Research

基　　金：广西科学研究与技术开发计划资助项目(10100026)

摘　　要：为探究不同规格、不同工作状态钢丝软轴摩擦力的计算公式,首先通过实验,测出在不同长度l、不同直径d和不同曲率半径ρ条件下摩擦力f的大小,然后根据实验数据,运用LS(Least Square,即最小二乘法),推导出软轴摩擦力f与l、d及曲率ρ的函数关系表达式,并利用PSO(Particle Swarm Optimization,即粒子群算法)对公式进行了修正,提高公式的精度。研究结果表明:芯轴的直径、长度及曲率半径均对软轴的摩擦力大小产生影响,是一种非线性关系,即摩擦力f的大小与长度l、直径d及曲率半径ρ成指数关系。该公式应用于大直径和中直径软轴的计算平均计算误差率为3.04%,符合计算精度要求。To explore a formula of flexible shaft friction force under different conditions of specifications and working states,experiments were finished during different kinds of length l,different kinds of diameter d and different kinds of radius of curvature rho to measure the value of friction force f. According to the experimental data,LS（ Least Square） was used to deduce a function expression among the value of soft shaft friction force f and l,d,ρ. And PSO（ Particle Swarm Optimization） was used to amend the formula to improve the accuracy of the formula. The results showed that： diameter of the spindle,length and radius of curvature affected the value of soft shaft friction mostly,and it was a nonlinear relationship. In other words,it was a exponential relationship between the value of friction force f and length l,diameter d,curvature radius of ρ. Error rate of the formula that was used in the large diameter and average soft shaft diameter was 3.04%,which was conformed to the requirements of calculation precision.

关 键 词：软轴 摩擦力 最小二乘法 粒子群算法 经验公式 

分 类 号：TH117.1[机械工程—机械设计及理论]