考虑平移自由度的齿轮时变啮合刚度计算与分析

齿轮啮合过程中,其啮合刚度会受其相对位移的影响。基于势能法,针对理想渐开线直齿圆柱齿轮,通过考虑平移自由度对齿轮啮合中角度的影响,将平移自由度引入齿轮时变啮合刚度的计算中,提出一种考虑齿轮两个方向平移自由度的时变啮合刚度计算方法。分析齿轮时变啮合刚度最大值、平均值和重合度受齿轮相对位移方向、大小的影响。结果表明,时变啮合刚度对齿轮沿啮合线垂直方向的相对平移最为敏感,对齿轮沿啮合线方向的相对平移最不敏感;在啮合线垂直方向,齿轮在相对平移0.1mm的情况下,引起啮合刚度平均值变动0.93%。

Calculation and Analysis of Time Varying Mesh Stiffness of Gear with Considering Translational Freedom

During the gears meshing process,the Time Varying Meshing Stiffness(TVMS)is affected by the relative displacement.An algorithm of TVMS considering two translational degrees of freedom is proposed.The algorithm is based on the potential energy method for the ideal involute spur gear.The translational freedom is introduced into the calculation of TVMS by considering the influence of translational freedom on the angles in gear meshing.The effect of gears relative displacement on the maximum,mean and contact ratio of TVMS is studied.The results show that TVMS is most sensitive to the relative translation of gears along the vertical direc tion of the meshing line,and is least sensitive to the relative translation of gears along the direction of the mesh ing line.In the vertical direction of the meshing line,the 0.1 mm relatively movement can cause 0.93%change of the mean of TVMS.