轴承结构参数的随机性对轴承刚度灵敏度的影响

Influence of Randomness of Structure Parameters for Bearings on Its Stiffness Sensitivity

采用拉丁超立方抽样确定了角接触球轴承结构参数的样本点,通过Powell和Newton-Raphson相结合的算法计算了非线性方程组,将计算得到的轴承刚度的响应值应用Kriging法进行响应面拟合.利用M onte Carlo随机抽样法确定了轴承结构参数的均值和方差对轴承刚度均值的灵敏度.研究结果表明:轴承轴向和径向刚度对轴承结构参数的均值和方差的灵敏度呈现相反的影响趋势.轴承刚度对轴承滚动体直径的变化反应最灵敏,轴承内、外圈沟道曲率半径的变化对其影响次之,外沟道直径的变化对其影响最小.该研究为轴承的结构参数和加工精度的选择及零件的分选提供了理论依据.

The latin hypercube sampling technique was used to obtain sample points of structure parameters for angular contact ball bearings. A combination method of the Powell algorithm and Newton-Raphson method was proposed for solving nonlinear equations and then the as-obtained the bearings stiffness were applied on fitting response surface functions based on the Kriging model. The influence of the mean and variation of structure parameters for angular contact ball bearings on its stiffness sensitivity was simulated using the Monte Carlo method. The results show that the mean and variation of structure parameters for angular contact ball bearings have an adverse effect on the sensitivity of the axial and radial stiffness. Bearings stiffness is most sensitive to the variation of ball diameters, then curvature radius of the inner and outer raceway groove takes the second place, and the outer raceway diameter is the least. This research may bring forward the theoretical basis for selecting the design parameters and machining accuracy of bearings as well as separation of parts.