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Reduced order finite element model for elastohydrodynamic lubrication: Circular contacts
Affiliation:1. Theory of Lubrication and Bearing Institute, Key Laboratory of Education Ministry for Modern Design and Rotor-Bearing System, Xi''an Jiaotong University, Xi''an, 710049 PR China;2. Department of Engineering Sciences and Mathematics, Division of Machine Elements, Luleå University of Technology, Luleå, SE-971 87 Sweden;1. Department of Mathematics, Hazara University, Mansehra, Pakistan;2. School of Computing, University of Leeds, UK;1. Department of Mechanical Engineering, Technical University of Denmark, Nils Koppels Allé, Building 404, 2800 Kgs. Lyngby, Denmark;2. MAN Diesel & Turbo, Teglholmsgade 41, 2450 Copenhagen SV, Denmark;1. State Key Laboratory of Tribology, Tsinghua University, Beijing, China;2. School of Mechanical Engineering, Beijing Institute of Technology, Beijing, China
Abstract:This paper presents an extension of the reduced order finite element model to the case of circular elastohydrodynamic lubricated (EHL) contacts under isothermal Newtonian considerations. The line contact model was developed and validated in a previous work (Advances in Engineering Software, 2013; 56:51?62). The model is based on a finite element discretization of the EHL equations: Reynolds, linear elasticity and load balance with a reduced order model for the linear elasticity part. All equations are solved simultaneously in a fully-coupled framework using a damped-Newton procedure allowing fast convergence rates for the global solution. This model combines fast convergence rates, reduced memory requirements and negligible model reduction errors compared to the full model which makes it an attractive tool for EHL contact performance prediction.
Keywords:Model reduction  Elastohydrodynamic lubrication  Finite elements  Circular contacts
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