基于MATLAB的高速重载斜齿轮时变摩擦力计算研究  

Research on Calculation of Time-varying Friction Force of High-speed and Heavy-duty Helical Gear Based on MATLAB

作　　者：国瑞坤 贺磊[1] 鞠国强 孙文莉 刘树昆 GUO Ruikun;HE Lei;JU Guoqiang;SUN Wenli;LIU Shukun(School of Mechanical Engineering,Shandong University of Technology,Zibo Shandong 255049,China;Shandong Huacheng Sino-German Transmission Equipment Co,.Ltd.,Zibo Shandong 255200,China)

机构地区：[1]山东理工大学机械工程学院,山东淄博255049 [2]山东华成中德传动设备有限公司,山东淄博255200

出　　处：《机床与液压》2022年第2期51-54,共4页Machine Tool & Hydraulics

基　　金：山东省重点研发计划项目(2017GGX203004)。

摘　　要：为探究高速重载下斜齿轮时变摩擦力的求解计算与变化规律,基于最小弹性势能原理与动势能转化关系,提出一种时变载荷计算模型,并对时变接触线长度、摩擦因数等摩擦力参数模型进行计算与分析。运用切片法对时变摩擦力公式进行推导,并将计算结果与现有算法的结果进行对比分析。运用MATLAB软件对同一周期内高速重载工况下最大时变摩擦力的变化进行计算与分析。结果表明:基于时变载荷模型、同时考虑时变摩擦因数推导得到的时变摩擦力较恒定啮合力波动变大,计算结果更接近实际情况,计算更精确,且高速重载工况下,负载转矩与转速增大均使得摩擦力增大。In order to explore the calculation and change law of the time-varying friction force of helical gears under high-speed and heavy-load, based on the conversion relationship between the principle of minimum elastic potential energy and kinetic energy, a time-varying load calculation model was proposed, and the friction parameter model such as the length of the time-varying contact line and the friction coefficient were calculated and analyzed.The slicing method was used to derive the time-varying friction formula, and the calculation results were compared with those of existing algorithms.The MATLAB software was used to calculate and analyze the change of the maximum time-varying friction force under high-speed and heavy-load conditions in the same cycle.The results show that the time-varying friction force derived based on the time-varying load model while considering the time-varying friction coefficient fluctuates is larger than that under constant meshing force, the calculation result is closer to the actual situation, and the calculation is more accurate, and under high-speed and heavy-load conditions, the increase of load torque and speed can increase the friction.

关 键 词：高速重载斜齿轮 时变摩擦力 MATLAB软件 

分 类 号：TH123[机械工程—机械设计及理论] TH128