Axisymmetric contact vibration analysis of a rigid spherical punch on a piezoelectric half-space

Abstract Based on the perturbation method, axisymmetric contact vibration of a rigid spherical punch on a piezoelectric half-space is studied in this paper. It is assumed that the rigid punch is a perfect insulating body with zero electric charge distribution. A compressive force composed of a static force and a time-harmonic force is applied to the spherical punch normally on the top of the surface. The variable contact radius and contact pressure are caused at the contact region for this dynamic contact problem. With the aid of Hankel integral transform technique, the dynamic contact model is established and the dynamic contact stiffness is derived from different contact displacement conditions, including two-point and one-point displacement conditions. Numerical examples are provided to show the effects of the oscillating frequency, contact displacement condition, internal friction, piezoelectric effect and material constant on the dynamic contact stiffness.