Angular contact ball bearings are widely used in the field of rotating machinery due to their obvious advantages such as relatively good positioning accuracy, high speed rotating performance and low cost, which have already become the most important transmission components. The heterogeneous thermal deformation caused by the high speed effect of bearing parts will lead to excessive noise and even gluing, which can further significantly reduce the machining accuracy of machine tool. Therefore, it is vital to improve the deformation resisting capability and operational reliability of the whole system. For this purpose, this paper presents a reliability model for computerized numerical control (CNC) lathe spindle by considering thermal effect. A five-degree-of-freedom quasi-static model considering thermal deformation is firstly proposed to calculate contact load and contact angle. Then the transient thermal network method is used to solve the temperature value of multi-node spindle-bearing system, and the validity of the proposed model is verified by experiments at different speeds. Next the modified first-order and second-moment method (FOSM) is used to calculate the reliability and reliability sensitivity of CNC lathe spindle deformation model considering thermal effect. Finally, the constrained nonlinear optimization method for the reliability model is proposed and applied to CNC lathe spindle. The results show that the reliability of the optimized model is significantly improved and the reliability robustness is enhanced.

角接触球轴承具有相对较高的定位精度，高速旋转性能和低成本等明显优势，因此已广泛应用于旋转机械领域，已成为最重要的传动部件。轴承零件的高速作用所引起的异质热变形会导致过多的噪音甚至胶粘，这会进一步显着降低机床的加工精度。因此，提高整个系统的抗变形能力和操作可靠性至关重要。为此，本文考虑了热效应，提出了一种计算机数控（CNC）车床主轴的可靠性模型。首先提出了一种考虑热变形的五自由度准静态模型来计算接触载荷和接触角。然后采用瞬态热网络方法求解多节点主轴轴承系统的温度值，并通过不同速度的实验验证了所提模型的有效性。接下来，采用修正的一阶和二阶矩法（FOSM）来计算考虑到热效应的CNC车床主轴变形模型的可靠性和可靠性灵敏度。最后，提出了一种用于可靠性模型的约束非线性优化方法，并将其应用于数控车床主轴。结果表明，优化模型的可靠性得到显着提高，可靠性鲁棒性得到增强。然后采用瞬态热网络方法求解多节点主轴轴承系统的温度值，并通过不同速度的实验验证了所提模型的有效性。接下来，采用修正的一阶和二阶矩法（FOSM）来计算考虑到热效应的CNC车床主轴变形模型的可靠性和可靠性灵敏度。最后，提出了一种用于可靠性模型的约束非线性优化方法，并将其应用于数控车床主轴。结果表明，优化模型的可靠性得到显着提高，可靠性鲁棒性得到增强。然后采用瞬态热网络方法求解多节点主轴轴承系统的温度值，并通过不同速度的实验验证了所提模型的有效性。接下来，采用修正的一阶和二阶矩法（FOSM）来计算考虑到热效应的CNC车床主轴变形模型的可靠性和可靠性灵敏度。最后，提出了一种用于可靠性模型的约束非线性优化方法，并将其应用于数控车床主轴。结果表明，优化模型的可靠性得到显着提高，可靠性鲁棒性得到增强。接下来，采用修正的一阶和二阶矩法（FOSM）来计算考虑到热效应的CNC车床主轴变形模型的可靠性和可靠性灵敏度。最后，提出了一种用于可靠性模型的约束非线性优化方法，并将其应用于数控车床主轴。结果表明，优化模型的可靠性得到显着提高，可靠性鲁棒性得到增强。接下来，采用修正的一阶和二阶矩法（FOSM）来计算考虑到热效应的CNC车床主轴变形模型的可靠性和可靠性灵敏度。最后，提出了一种用于可靠性模型的约束非线性优化方法，并将其应用于数控车床主轴。结果表明，优化模型的可靠性得到显着提高，可靠性鲁棒性得到增强。