人字齿轮修形敏感性分析

Analysis of the Modification Sensitivity of Herringbone Gear

为了提高人字齿轮修形结果的适用性,需要对齿轮齿面修形参数进行敏感性分析。利用Romax软件,采用遗传算法对齿轮进行齿廓最优修形、鼓形最优修形及拓扑最优修形,并将修形变动量叠加到最优修形上;然后,考虑中心距安装误差,分别对小齿轮进行了承载传动误差幅值、接触应力最大值分析;最后,进行了修形参数的变动对传动误差和接触应力的敏感性分析。结果表明,承载传动误差幅值对齿廓修形参数敏感,而对鼓形修形参数不敏感;齿廓最优修形后,承载传动误差对中心距安装误差不敏感,而鼓形修形反之;承载传动误差幅值对拓扑修形参数的敏感性介于齿廓、鼓形修形之间,当齿廓修形量远大于鼓形修形量时,承载传动误差幅值对中心距安装误差不敏感。

In order to improve the applicability of herringbone gear modification results,it is necessary to analyze the sensitivity of gear surface modification parameters.Using Romax software,genetic algorithm is used to carry out the optimal modification of tooth profile,drum shape and topology,and the modification deforma tion momentum is superimposed on the optimal modification.Then considering the center distance installation error,the bearing transmission error amplitude and the maximum contact stress of the pinion are analyzed re spectively.Finally,the sensitivity analysis of the change of modification parameters to transmission error and contact stress is obtained.The results show that the load transmission error amplitude is sensitive to the tooth profile modification parameters,but not to the drum shape modification parameters;after the optimal modifica tion of the tooth profile,the bearing transmission error is not sensitive to the center distance installation error,but the drum shape modification is vice versa;the sensitivity of load-bearing transmission error amplitude to to pological modification parameters is between tooth profile and drum shape modification.When the tooth profile modification is much greater than the drum shape modification,the load-bearing transmission error amplitude is not sensitive to the center distance installation error.