粗糙界面法向接触振动响应与能量耗散特性研究

粗糙界面的法向接触振动与能量耗散特性对描述界面动力学机理具有重要的理论和实际意义。本文通过建立粗糙界面法向接触振动的动力学模型，提出了其法向接触振动响应特征量和振动能量耗散量的计算方法。基于粗糙表面的三维分形模型描述，构造了粗糙界面的接触力-变形关系式，并与Hertz接触模型的力-变形关系进行了对比分析；建立了粗糙界面接触振动系统的动力学方程，计算了不同表面形貌粗糙界面系统每周期的振动能量耗散率和累计能量耗散率；分析了粗糙界面法向接触振动的响应特征与能量耗散特性，从理论上对界面法向微动能量耗散的实验结果进行了解释，为描述接触界面的动力学机理提供了理论依据。

Dynamic response and energy dissipation characteristics for the contact vibration of rough interface

The dynamic response and energy dissipation characteristic at rough contact interface are of great importance to the interface dynamic mechanism. In this paper, the vertical contact vibration model for rough interface is proposed and the corresponding calculation method is presented to study the contact dynamic responses and energy dissipation at rough contact interface. Results of contact force and deformation are obtained using the finite element method and are presented for contacting surface with varying topographies. Expression relating the contact force and the deformation is established and good correlation with calculated results is obtained and compared with that for the Hertz contact law. The dynamic motion equation is further established and the dynamic response quantities and energy dissipation characteristics for contacting interface with different surface topographies are determined. The obtained results explain theoretically the experimental results on energy dissipation observed for vertical contact vibration.