This paper applies the variable separation method to the hydrodynamic pressure calculation of finite-length tilting pad journal bearings under Reynolds boundary conditions, and a series solution of the Reynolds equation is obtained based on the Sturm-Liouville theory, which considers pad deformation. The thermal effect is also taken into account. A comparison of the present solutions is made with the results obtained by other applied methods, as well as past and recent published data, and good agreement is noted. The steady-state and dynamic performance of a four-pad tilting pad journal bearing are investigated by the load capacity, pressure distribution, friction force, lubricant effective viscosity, journal center velocity, journal center orbits, and phase portrait under the proposed series solution of the Reynolds equation. This study contributes to quickly evaluating the nonlinear dynamic performance of a tilting pad journal bearing rotor system and supporting the nonlinear dynamic design of the system.

中文翻译：

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有限长度可倾瓦轴颈轴承雷诺方程的级数解（包括轴瓦变形）


将变量分离法应用于雷诺边界条件下有限长度可倾瓦轴颈轴承的动水压力计算，基于Sturm-Liouville理论得到了考虑瓦块变形的雷诺方程的级数解。热效应也被考虑在内。将当前的解决方案与其他应用方法获得的结果以及过去和最近发布的数据进行比较，并且注意到良好的一致性。在提出的级数解下，通过负载能力、压力分布、摩擦力、润滑剂有效粘度、轴颈中心速度、轴颈中心轨道和相图，研究了四瓦可倾瓦轴颈轴承的稳态和动态性能。雷诺方程。这项研究有助于快速评估可倾瓦轴颈轴承转子系统的非线性动态性能并支持系统的非线性动态设计。