Development of a Contact Force Model Suited for Spherical Contact Event

Abstract

The stiffness coefficient suited for a spherical contact body is developed by means of a contact semi-angle based on Steuermann’s theory. The new static contact force model is close to the results of FEM when the index of the polynomial is equal to 2. The strain energy is derived according to the contact stiffness coefficient. Taylor expansion is used in the dissipated energy integration process to obtain a more accurate hysteresis damping factor. The new dynamic contact force model consists of the new stiffness coefficient and new hysteresis damping factor, which is suitable for the spherical-contact event with a high coefficient of restitution.