first step. Long rollers whose shaft deflection cannot be ignored have the longitudinal
distribution of the nip pressure. In this case, the rubber deformation is threedimentional
but it can be modeled with two-dimensional contact mentioned before
because the out-of-plane strain is much smaller than the plane strain. Thus, an analytical
method that is based on the results of the two-dimensional contact analysis
and can estimate the longitudinal distribution of nip pressure of the long rollers
is developed. The analytical method is applied to a design method of the crown
shape that can realize uniform longitudinal distribution of nip pressure. Two types
of crown rollers i.e. a rubber roller with crown shape in its internal diameter and a
steel roller with crown shape in its diameterare, defined and design procedures of
these rollers are shown. Dsigned crown ro