The main purpose of this paper is to develop a deformation equation for the circular crowned roller compressed between two plates. First, the roller is divided into three parts, two crowned parts and one cylindrical part. The superposition method is then introduced to obtain the roller stiffness. The stiffness contribution of the crowned parts is calculated by the classical Hertzian contact solution and the stiffness contribution of the noncrowned part is obtained by the Hoeprich’s formula. Comparisons with various finite element results indicate that the deformation equation derived in this paper can be a good deformation formula for the circular crowned roller. [S0742-4787(00)01502-2]

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