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A simplified structural model of bump-type foil bearings based on contact mechanics including gaps and friction

机译:基于接触力学的凸型箔轴承简化的结构模型,包括间隙和摩擦

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The paper introduces a structural model for bump-type foil bearings based on contact mechanics including gaps and friction. The starting point is a model introduced in [32] were the bump foil is approximated by a specific structure of interacting springs. Following this model, contacts between the top and bump foils and between the bump foil and the sleeve are always closed. Recent analyses [31] showed that this not always verified: contacts can become loose even for very simple loading situations. A new model is then developed for considering these situations. The new model takes into account the elasticity of the top foil and three kind of gaps: between the rotor and the top foil, between the top and the bump foils and between the bump foils and the sleeve. The former model of the bump foil was extended by considering an additional degree of freedom per bump. Friction was modeled with Coulomb law. An efficient numerical procedure borrowed from contact mechanics ([41], [42]) was implemented for solving the structural problem with friction and close/loose gaps. The procedure uses the augmented Lagrangian algorithm for the normal contact forces and the penalty method for the tangential friction force. The procedure is very robust in dealing with stick-slip situations and close/loose contacts. The model was validated by comparisons with results from the literature ([31], [32]).
机译:本文介绍了基于接触机械的凸型箔轴承的结构模型,包括间隙和摩擦。起始点是在[32]中引入的模型是凸块箔被互动弹簧的特定结构近似。在该模型之后,顶部和凸块箔之间的触点和凸块箔和套筒之间始终关闭。最近的分析[31]显示,这并不总是验证:即使对于非常简单的装载情况,触点也会变得松动。然后开发出一个新的模型来考虑这些情况。新模型考虑了顶部箔和三种间隙的弹性:转子和顶部箔之间,顶部和凸块箔之间以及凸块箔和套筒之间。通过考虑每个凸块的额外自由度,延长凸块箔的前模型。用库仑法建模摩擦。从接触力学([41],[42])借来的有效数值进行,以解决摩擦和关闭/松散间隙的结构问题。该程序采用增强拉格朗日算法进行正常接触力和切向摩擦力的罚球方法。该过程非常稳健地处理粘滑情况和关闭/松散接触。通过与文献结果的比较验证该模型([31],[32])。

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