考虑实测基节误差的修形齿轮啮入冲击计算  

Calculation on the meshing-in impact of a modified gear considering the measured pitch error

作　　者：郭芳 方宗德[1] 张西金[1] GUO Fang;FANG Zongde;ZHANG Xijin(School of Mechanical Engineering,Northwestern Polytechnical University,Xi＇an 710072,China)

机构地区：[1]西北工业大学机电学院,西安710072

出　　处：《振动与冲击》2018年第22期30-35,42,共7页Journal of Vibration and Shock

基　　金：国家自然科学基金(51375384)

摘　　要：为研究制造误差对齿轮系统啮入冲击的影响,给出一种考虑实测基节误差的齿轮啮入冲击算法。该算法基于考虑实测基节误差的轮齿接触分析(Tooth Contact Analysis,TCA)及轮齿承载接触分析(Loaded Tooth Contact Analysis,LTCA),准确算出齿轮连续啮合过程中每对啮合轮齿的实际啮入点位置;并根据LTCA得到的轮齿承载变形及载荷分配系数,计算出当前啮入齿对啮入点处的刚度;最后计算出以n个啮合周期为一个大周期的啮入冲击力(n为主、被动轮齿数的最小公倍数)。研究表明,在不同齿对的相对基节误差具有随机性的情况下,该算法可以准确算出每对轮齿的线外啮入点的位置,并相应算出不同位置的啮入点的刚度;该算法适用于具有修形齿面或误差齿面的齿轮系统,真实反映了实测基节误差对齿轮啮入冲击的影响。An algorithm for studying the gear meshing-in impact considering the measured pitch error was proposed to analyse the effect of manufacturing errors on the meshing-in impact. Based on the tooth contact analysis （TCA） and loaded tooth contact analysis （LTCA） considering the measured pitch error, by the algorithm the actual position of the meshing-in contactin gear meshing was calculated precisely. Next, according to the LTCA-calculated tooth deformation and load sharing factor between teeth, the teeth stiffness at the meshing-in point of the current mating teeth was obtained. Then, the meshing-in impact in a big cycle of n meshing periods （ n is the least common multiple of the teeth number of pinion and gear） was analyzed. The study shows that, in the situation of random relative pitch error, by the algorithm the position of the corner contact in gear meshing-in and the corresponding stiffness can be acquired exactly. The algorithm is suitable for the modified tooth surfaces or error surfaces of gear systems. The result really reflect the effect of measured pitch error on the meshing-in impact.

关 键 词：修形齿轮 啮入冲击 实测基节误差 啮入点位置 啮入点刚度 

分 类 号：TH132.41[机械工程—机械制造及自动化]