Abstract Gas foil bearings are increasingly employed in advanced rotating machinery. Fast and accurate predictions of bearing performance are necessary and can greatly improve the design of gas foil bearings. This paper presents a novel fully coupled elastohydrodynamic model for the static performance analysis of gas foil bearings. The novelty is the presentation of a simultaneous solution of a coupled elastohydrodynamic model that considers the detailed configuration, complex contact/separation and friction behaviors of the foil structure. The coupled model is established within a standard finite element framework, so it is easy to implement. The top and bump foils are modeled in detail with 2D beam elements, and a general contact model that includes separation and friction behaviors is used to model the interactions of the top and bump foils. The simultaneous solution of the system equation using the Newton–Raphson method is presented. An analytical Jacobian matrix of the system equation is given to guarantee and improve the convergence performance. The validity of the proposed model was proved by comparisons with analytical and experimental results. The numerical examples show that the proposed model that allows the separation of the top and bump foils accords better with engineering facts. The implementation of the Gumbel condition is discussed by comparing the results calculated by different models.

中文翻译：

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用于气体箔轴承静态性能分析的全耦合弹性流体动力学模型

摘要 气体箔轴承越来越多地应用于先进的旋转机械中。快速准确地预测轴承性能是必要的，可以大大改进气箔轴承的设计。本文提出了一种新的全耦合弹性流体动力学模型，用于气体箔轴承的静态性能分析。新颖之处在于提出了耦合弹性流体动力学模型的同时解决方案，该模型考虑了箔结构的详细配置、复杂的接触/分离和摩擦行为。耦合模型建立在标准的有限元框架内，易于实现。顶部箔片和波箔片使用 2D 梁单元进行详细建模，并且使用包含分离和摩擦行为的通用接触模型来模拟顶部箔片和波箔片的相互作用。提出了使用 Newton-Raphson 方法对系统方程的联立解。给出了系统方程的解析雅可比矩阵，以保证和提高收敛性能。通过与分析和实验结果的比较证明了所提出模型的有效性。数值例子表明，所提出的允许顶部箔和凸箔分离的模型更符合工程事实。通过比较不同模型计算的结果，讨论了 Gumbel 条件的实现。通过与分析和实验结果的比较证明了所提出模型的有效性。数值例子表明，所提出的允许顶部箔和凸箔分离的模型更符合工程事实。通过比较不同模型计算的结果，讨论了 Gumbel 条件的实现。通过与分析和实验结果的比较证明了所提出模型的有效性。数值例子表明，所提出的允许顶部箔和凸箔分离的模型更符合工程事实。通过比较不同模型计算的结果，讨论了 Gumbel 条件的实现。