Detailed formulations are presented for an EHD model that studies all the engine main bearings, considering the bearings, housing and crankshaft elastic deformations in connection with the hydrodynamic pressure fields as well as the quasi-static loads balance for this complex kinematic system. The calculation process uses the finite element method and the Newton-Raphson method for the numerical analysis. The elastic crankshaft behavior is quantified by a standard stiffness matrix. With two structural analysis steps, a condensed housing stiffness matrix is obtained to reduce the computing time. The transient evolution of the cavitation area is evaluated with Murty’s algorithm. This model is utilized to study a four cylinder inline engine.

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