This paper not only presents the details of the composition form and classification method of the elements in bearing stiffness matrix, but also reveals the effects of the off-diagonal stiffness items in bearing stiffness matrix on the rotor dynamic characteristics. First, the complete expression of bearing stiffness matrix is derived based on the improved model of ball bearing, and the change rules of the different categories of the stiffness elements with the rotating speeds and loads are given. Then, both the quantitative and qualitative analysis methods for the rotor-bearing systems supported by a pair of the angular contact ball bearings are presented, and the effects of the off-diagonal bearing stiffness elements on the rotor supporting stiffness and natural frequencies are given and discussed. The results show that, when the rotor system is subjected to a radial load or moment load, the additional loads from ball bearings are generated due to the off-diagonal stiffness elements in bearing stiffness matrix, and the rotor with the O-configuration has higher supporting stiffness and resonance frequencies than the rotor with the X-configuration.

本文不仅详细介绍了轴承刚度矩阵中元素的组成形式和分类方法，而且揭示了轴承刚度矩阵中非对角刚度项对转子动力学特性的影响。首先，基于改进的球轴承模型，推导了轴承刚度矩阵的完整表达式，并给出了不同类别的刚度元件随转速和载荷的变化规律。然后，提出了由一对角接触球轴承支撑的转子轴承系统的定量和定性分析方法，并给出了非对角轴承刚度元素对转子支撑刚度和固有频率的影响，并讨论过。结果表明，