结合面法向接触阻尼及损耗因子三维分形模型

Fractional Model of Joint Interface Under Normal Contact Damping and Dissipation Factor Based on Three-Dimensional Contact Fractional Theory

结合面间的接触刚度和接触阻尼对机械和机械结构的静动态特性有重要影响。基于三维接触分形理论,提出了结合面法向接触阻尼及损耗因子分形模型。通过数值仿真直观地揭示了各相关参数对其的影响规律。仿真结果表明,无量纲结合面法向接触阻尼和阻尼损耗因子都会随着分形维数的增大而增大;但是它们随着无量纲法向总载荷和无量纲分形特征长度尺度参数的变化而产生的变化是完全不同的。

The stiffness and damping of contact joint interface has an important influence on the static and dynamic characteristics of machinery and mechanical structure. Therefore,based on three- dimensional contact fractional theory,this paper proposes its fractional model under normal damping and dissipation factor. The influencing factor of the relative parameters on it is revealed in the numerical simulation. Its result shows that its dimensionless normal contact damping and dissipation factor increased with the increase of the fractional dimension. But their change is different from their dimensionless normal load and dimensionless fractional characteristic length scale parameter at all.