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I would try a spring support if you know the bearing radial stiffness. I would assume that it is never desirable that the shaft touch the bore.
You could apply an external force with nonuniform distribution and use the Sommerfield derivation for an infinite journal or Ocvirk derivation for a short journal and apply the forces in a user specified coordinate system which is aligned with the eccentricity of the journal. I believe the basic formulae are on Wikipedia, but another source is Yukio Hori, Hydrodynamic Lubricaiton, Springer, 2002.