Analysis of tangential characteristics of the paraboloidal contact model

Abstract

A paraboloidal contact model with different axial crossing angles is established. The contact model is subjected to a combined action of normal and tangential loads. Based on the Hertzian theory, the contact states of the model under the action of the normal load are obtained by deriving the equations. The contact states include critical interference values of the elastic phase, elastoplastic phase, and plastic phase. Under the action of the normal preload, the tangential stiffness of the contact model is obtained and verified by finite element simulation. Simulation results indicate that tangential displacements of the contact model in the deformation phase correspond well with analytical solution equations. Stresses and strains on the contact surface are also investigated. By employing the proposed contact model, the effects of axial crossing angle, friction factor, focal length, and normal load on mechanical properties are investigated. The paraboloidal contact model is advantageous to contact analysis for paraboloidal gears and cams.