Model for Tangential Contact Damping Energy Dissipation Factor of Plane Joint Interfaces

Due to the comprehensive applications of Hertz contact theory and fractal method, we present the model for tangential contact damping energy dissipation factor of plane joint interfaces. The energy dissipation of the entire joint surface is estimated by energy loss equation of single micro-convex body. According to the tangential force in process of micro-convex and micro-slip, the energy storage of the micro-convex body is replaced by the equivalent, and the energy storage of the composite surface of the rectifier is obtained. On the basis of the unique conversion of energy loss and storage, a model is established. The model avoids the invariance of experimental test and enhances the visualization of theoretical derivation, and can more intuitively understand the properties of damping dissipation factor. The influence law of related parameters is obtained by numerical simulation. We can see that damping loss factor of tangential decreases first and then increases when D increase and the roughness arguments are constant. When D is about 1.25, the D reaches the least value. If the D is less than 1.5, the roughness parameter and directly proportional damping dissipation factor relations, when the fractal dimension is 1.5 exactly, the roughness parameters do not produce effect, when the D is larger than 1.5, the increase of roughness, dissipation factor decreases at the same time. Comparing with the laboratory data, the results obtained by numerical simulation are in accordance with the actual situation is found. Therefore, the model is effective in certain conditions.