Friction Calculation and Simulation of Column Electric Power Steering System

Seyed Hamid Mirmohammad Sadeghi, R. Sesana, D. Maffiodo
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Abstract

This study presents a procedure for friction calculation of column electric power steering (C-EPS) system which affects handling and comfort in driving. The friction losses estimation is obtained from experimental tests and mathematical calculation. Parts in C-EPS mainly involved in friction losses are bearings and worm gear. In the theoretical approach, the gear geometry and Hertz law were employed to measure the normal load and the sliding velocity and contact areas from the worm gears driving conditions. The viscous friction generated in the worm gear was obtained with a theoretical approach and the result was applied to model the friction in the steering system. Finally, by viscous friction coefficient and Coulomb friction coefficient, values of friction in worm gear were calculated. According to the Bearing Company and the characteristics of each bearing, the friction torques due to load and due to speed were calculated. A MATLAB Simulink model for calculating the friction in bearings and worm gear in C-EPS were done and the total friction value was estimated
柱式电动助力转向系统的摩擦计算与仿真
本文研究了影响操控性和驾驶舒适性的柱式电动助力转向系统的摩擦计算方法。通过试验和数学计算得到了摩擦损失的估计。C-EPS中主要涉及摩擦损失的部件是轴承和蜗轮。在理论方法中,利用齿轮几何和赫兹定律从蜗轮传动条件出发,测量法向载荷、滑动速度和接触面积。采用理论方法得到了蜗轮内产生的粘性摩擦,并将结果应用于转向系统的摩擦建模。最后,通过粘性摩擦系数和库仑摩擦系数计算蜗轮蜗杆的摩擦值。根据轴承公司和每个轴承的特性,计算了由于负载和由于速度引起的摩擦力矩。利用MATLAB Simulink建立了C-EPS中轴承和蜗轮的摩擦计算模型,并估算了总摩擦值
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