多支点轴系中滚动轴承的拟静力学研究

提出了考虑轴的弹性变形对多支点轴系中若干滚动轴承联合进行拟静力学分析的模型。首先把一般多支点轴系中常见的阶梯轴等效转化为一理想的等截面轴，然后给出轴上任一轴承内圈处位移的表达式，列出整个轴系的平衡方程式。为了求解该轴系的基本方程，还提出了适合于求解大型非线性方程组的计算方法。该方法对初点要求低，且收敛性好。文中又以一对预紧的角接触球轴承支承的齿轮轴系为例，分析讨论了齿轮上轴向载荷和轴承径向间隙对两

Quasi-Static Analysis of Multi-Bearing Shaft System

Present a quasi-static analytical model of rolling bearings in a multi-bearing shaft system with elastic deformation of the shaft. A stepped shaft in a commonly used shaft system is equivalently transformed into a smooth shaft. The displacements of each inner ring on the shaft can then be determined and the equilibrium equations of the shaft are taken as a set of basic equations for that system. In order to solve those non-linear algebraical equations with a number of unknowns,a numerical method is proposed in the paper. It has better convergence and lower demand for initial data than conventional methods. A pair of preloaded angular contact ball bearings have been taken as a good example to demonstrate the effects of an axial load on the shaft and radial plays on load shares of the bearings,and the effects of elasticity of the shaft on the fatigue lives of the bearings. It can be seen that the results obtained in the above method are different from those in a conventional method.