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能够准确描述滑动轴承油膜力特性的数学模型是转子–轴承系统非线性动力学分析的基础和关键。该文针对圆瓦径向滑动轴承,基于周向动态π油膜边界条件,利用分离变量法,将雷诺方程分解为类似长轴承模型方程和轴向压力方程,获得圆瓦轴承油膜压力分布近似解析表达式。通过对油膜域内压力进行积分,得到圆瓦滑动轴承油膜力表达式。基于该文提出的模型,研究了圆瓦轴承油膜压力分布,对比分析该文模型与长轴承、短轴承、有限差分法模型,结果表明该文模型能够在较宽长径比范围较准确地描述圆瓦轴承油膜特性。基于该文模型对刚性转子–轴承系统进行动力学特性分析,仿真结果验证了该文模型的有效性。
The mathematical model capable of accurately describing the force characteristics of the sliding bearing oil film is the basis and key of the nonlinear dynamic analysis of the rotor-bearing system. Aiming at the radial bush bearing with round bush, based on the circumstance of the dynamic π oil film boundary condition, the Rayleigh equation is decomposed into the long bearing model equation and the axial pressure equation using the separation variable method, and the approximate expression of the oil film pressure distribution of the round bush bearing is obtained formula. By integrating the pressure in the oil film domain, the expression of oil film force on the sliding tile bearing is obtained. Based on the model proposed in this paper, the pressure distribution of the oil film in a round bush bearing is studied. The model of the bearing is compared with the model of the long bearing, the short bearing and the finite difference method. The results show that the model can be accurately described in a wide aspect ratio Round bush bearing oil film characteristics. Based on the model, the dynamic characteristics of the rigid rotor-bearing system are analyzed. The simulation results verify the effectiveness of the proposed model.