Abstract
A numerical model is derived for the plane-stress elastic deformation of two concentric hollow cylinders with acircular contact surfaces. Given the detailed undeformed section geometry, the model computes the circumferential distributions of interfacial pressure and gap, and the distortion of the two free surfaces. The interface is partitioned into axial strip elements with radial displacement nodes at their boundaries and a piecewise linear pressure distribution from node to node. Influence coefficients linearly relating nodal displacements to nodal pressures are computed using a finite Fourier series expansion of the pressure distribution in conjuction with exact expressions for the deformation of a sinusoidally loaded thick ring. The iterative solution of the nonlinear system of node equations entails computing the currently nonzero nodal pressures by matrix inversion and then updating the contact/gap configuration. The model is demonstrated for a 400 node, multiple-contact interface between a machined shaft and sleeve with measured acircularity profiles.
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