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Abstract
A computationally efficient method is presented for solving the journal bearing lubrication problem in crankshaft-block interaction studies of internal combustion engines. The Reynolds' equation is solved using the finite element method. Four degrees of freedom (vertical and horizontal translations and rotations) are used for each bearing accounting, therefore, for the journal misalignment within the bearing. A bilinear rectangular element with “hourglass control” is used to discretize the two-dimensional oil film domain and develop the element fluidity matrices and load vectors. At each time step, a linear perturbation technique is employed for solving the Reynolds' equation for computational efficiency purposes. The combination of the linear perturbation approach with the “hourglass control” ensure the computational efficiency of the lubrication analysis with minimal loss of accuracy. The accuracy of the developed bilinear oil film element is first demonstrated by comparison with the analytical solution of an infinitely short journal bearing. Comparison with a state-of-the-art finite element analysis of journal bearings is also performed for an engine crankshaft main bearing.
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