插针机构中圆柱凸轮滚子疲劳寿命预测方法-《郑州大学学报(工学版)》

文章信息/Info

Title:: Prediction Method of Fatigue Life of Cylindrical Cam Rollers in Pin Insertion Mechanism

作者:: 王星龙¹; 陶宗杰²; 杨泊莘¹; 安琦¹; 1.华东理工大学机械与动力工程学院,上海 200237, 2.泰科电子(上海)有限公司,上海 200030

Author(s):: WANG Xinglong; TAO Zongjie; YANG Boxin; AN Qi; School of Mechanical and Power Engineering, East China University of Technology, Shanghai 200237, Taike Electronics (Shanghai) Co., Ltd., Shanghai 200030

Keywords:: pin insertion mechanism; cylindrical cam; contact mechanics; fatigue life

摘要:: 以高速插针机为研究对象,对其插针机构进行力学分析,推导圆柱凸轮沟槽曲面方程,建立凸轮滚子 (以下简称滚子) -沟槽的接触力学模型和滚子在沟槽内滚动的运动几何模型。基于赫兹接触理论计算出凸轮转动 1 周过程中每一时刻滚子与沟槽受力接触点的最大接触应力。基于 Miner 线性疲劳累积损伤理论判断滚子圆周方向上的危险点,并以该危险点为对象,实现了对滚子疲劳寿命的定量计算。结合 1 个具体算例, 分析了滚子直径、凸轮直径、接触长度、凸轮转速对滚子接触疲劳寿命的影响。计算结果表明:对滚子而言, 当凸轮滚子直径从 10 mm 增大到 26 mm 时疲劳寿命随之增大了 14. 1 倍;当凸轮直径从 50 mm 增大到 140 mm 时疲劳寿命随之增大了 7. 5 倍;当接触长度从 5 mm 增大到 15 mm 时疲劳寿命随之增大了 26. 0 倍;当凸轮转速从 600 r·min - 1增大到 1 300 r·min - 1时疲劳寿命随之降低为原来的 0. 449 %。

Abstract:: Taking the high-speed pin insertion machine as the research object, the mechanical analysis of its pin insertion mechanism is carried out, the cylindrical cam groove surface equation is established. The contact mechanics model of the cylindrical cam roller and the groove, and the geometric model of the roller rolling in the groove are established. Based on Hertz contact theory, the maximum contact stress of the contact point between roller and groove is calculated at each moment in the course of the cam rotation. Based on the Miner linear fatigue cumulative damage theory, the dangerous point in the circumferential direction of the roller is judged, and the dangerous point is taken as the object to realize the quantitative calculation of the fatigue life of the roller. Through a specific example, the influence of roller diameter, cam diameter, contact length, and cam rotation speed on the contact fatigue life of the cam roller is illustrated. The calculation results show that: when the diameter of the cam roller increases from 10 mm to 26 mm, the fatigue life increases by 14. 1 times; when the diameter of the cam increases from 50 mm to 140 mm, the fatigue life increases by 7. 5 times; when the contact length increases from 5 mm to 15 mm, the fatigue life of the cam roller increases by 26. 0 times; when the cam speed increases from 600 r·min - 1 to 1 300 r·min - 1 , the fatigue life decreases to 0. 449% of the original.