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.

中文翻译：

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压电半空间刚性球形冲头的轴对称接触振动分析

摘要 基于微扰法，研究了刚性球形冲头在压电半空间上的轴对称接触振动。假定刚性冲头是具有零电荷分布的完美绝缘体。由静力和时谐力组成的压缩力通常施加到球形冲头的表面顶部。对于这个动态接触问题，在接触区域会产生可变的接触半径和接触压力。借助Hankel积分变换技术，建立了动态​​接触模型，根据不同的接触位移条件，包括两点和一点位移条件，推导出动态接触刚度。提供了数值例子来显示振荡频率的影响，