Calculation of Dynamic Coefficients of a Journal Bearing Based on Reynolds Boundary and Its Application

An isoparametric finite element method based on eight nodal points and variational constrain approach was used to solve the fluid lubrication problem with Reynolds boundary. Thus a perturbed equation was directly obtained from the corresponding finite element equations. This made it feasible to simultaneously calculate the nonlinear oil film forces and their Jacobians matrices of compatible accuracy, with a small amount of increase in the computing efforts. The periodic unbalance responses of the system were obtained making use of shooting method, while the variations in the bifurcation behaviors of the periodic motions with the bearing design parameters were obtained making use of the path-following technique. The numerical examples indicated that it was feasible to save the computing time making use of the established method.