为了分析游隙对轴承静力学性能的影响，基于赫兹弹性接触原理和变形协调原理，且在考虑初始游隙和实际接触角变化的前提下，建立了双列调心球轴承在径向和轴向联合载荷下的静力学数学模型。对静力学平衡方程和未知变量的可行域进行分析，提出基于Broyden秩l拟牛顿迭代法的数值求解流程。以调心球轴承BRFl2为例，建立其非线性静力学平衡方程组并求解，分析轴承初始游隙对内、外圈相对位移、轴承刚度、负荷分布、实际接触角等的影响情况。分析得出游隙是影响调心球轴承品质的关键因素，需严格控制。分析各游隙及和接触角的几何关系，进而得到各游隙的简单计算公式，提出游隙尺寸控制和测量方法。研究结果可为新型双列调心球轴承的额定静、动载荷计算、动力学分析和优化设计等提供理论参考和依据。
Double row self-aligning ball bearing generally consists of outer ring, inner ring, ball and sealing cover, etc. Because of its self-aligning working properties, this type of bearings have been widely used in various mechanical systems, such as agricultural machinery, engineering machinery, light industry machinery, military machinery, etc. Related rolling bearing design literatures have already analyzed the structure size and work performance of double row self-aligning ball bearings, but these literatures all ignore the effect of clearance when analyzing performance of this type of bearings. In practical conditions, bearing clearance has great influence on the bearing performance, so it must be considered. In this paper, the static mathematical model of double row self-aligning ball bearing under radial and axial combined loads has been established, based on Hertz elastic contact theory and deformation compatibility theory, also under the premise of considering of initial clearance a
