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In this paper, the pure rolling contact stresses in conical rollers under normal loading are studied. The existing analytical expression for pure rolling contact pressure in uniform cross-section cylinders is modified to determine the contact area, the contact pressure, and its distribution in conical rollers under normal loading. The Hertzian contact stresses are determined for the modified pure rolling contact pressure distribution. The theoretical results are compared with the finite element analysis using ABAQUS, for different vertex angles, materials, and loads. The results of the theoretical model are found to be consistent with the finite element simulations in predicting the contact pressure, the distribution, and the contact stresses in conical rollers.

In this paper, a revised optimal homotopy asymptotic method (OHAM) is applied to derive an explicit analytical solution of the Falkner–Skan wedge flow problem. The comparisons between the present study with the numerical solutions using (fourth order Runge–Kutta) scheme and with analytical solution using HPM-Padé of order [4/4] and order [13/13] show that the revised form of OHAM is an extremely effective analytical technique.