= Squeeze resistance of an eccentric journal bearing
{title2=$R_r,\ R_t$}
Let the inner-centre displacement from a fixed outer centre have magnitude $r=\Delta e$, with $0\leq e<1$. The leading <full-film journal bearing> resistance to translation in the displacement direction and perpendicular to it is
$$
R_r=\frac{12\pi\mu a^3}{\Delta^3(1-e^2)^{3/2}},\qquad
R_t=\frac{12\pi\mu a^3}{\Delta^3\sqrt{1-e^2}(1+e^2/2)}.
$$
For $h=\Delta(1-e\cos\theta)$, the <Reynolds lubrication equation> gives radial squeezing flux $av_r\sin\theta$ and tangential squeezing flux $av_t[-\cos\theta+3e/(2+e^2)]$. The additive constant enforces periodic <pressure>. Integrating the <pressure> traction gives these coefficients; at $e=0$ they coincide, as required by <rotational symmetry>.
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