基于啮合特性直齿锥齿轮分支传动静力学均载分析

为了改善直齿锥齿轮分支传动系统性能,提出基于啮合特性的静态均载分析方法。通过建立考虑中心轮安装误差的单级分支系统多体齿轮齿面接触分析(MTCA)方法,获得各齿轮副初始接触间隙;计及该间隙引起的啮合偏差,采用集中参数法主要考虑中心轮的浮动特性,建立考虑其支撑变形、各齿轮扭转变形相互耦合的静力学平衡方程,获得各分支均载系数,分析了载荷、安装误差、支撑刚度等对系统均载系数的影响。结果表明,随支撑刚度、安装误差的增大,均载系数逐渐增大,轴向对正误差和偏置对正误差对均载系数的影响是等效的;随转矩的增加,均载系数逐渐减小;各分支齿轮副的几何传动误差大小反映了均载系数变化规律,即齿面初始间隙越大,承担的载荷越小。研究结果为高精度直齿锥齿轮分支系统的均载分析提供了理论参考。

Analysis of Statics Load Sharing based on Meshing Characteristic for Straight Bevel Gear Split Transmission

An approach of analysis of static load sharing based on meshing characteristics for straight bevel gears split transmission is proposed to improve meshing performances.The initial contact clearances of each gears pairs are obtained through establishing the tooth contact analysis method for multi-gear(MTCA)by considering alignment error of the center gear.A statics balance equation considering the coupling of support deformations and torsion deformations of each gear pairs and the meshing deviation caused by the initial contact clearances are established to study the floating characteristics of the center gear based on lumped-parameter analytical model.The static load sharing coefficient of each split is obtained by solving the equation,and the influences of loads,alignment errors and support stiffness on it are analyzed.The results show that static load sharing coefficient increases gradually with the increase of both support stiffness and the alignment errors,the influences of axial and bias alignment error on it are the same level.The load sharing coefficient decreases with the increase of torques.The magnitude of transmission errors represent the variation law that the larger the initial clearances of the tooth,the smaller the load sharing coefficient.It provides a theoretical reference to analysis load sharing for high precision straight bevel gears split system.