Dynamic substructuring with time variant interface due to sliding friction

In this paper, classical dynamic substructuring techniques are adapted to deal with time invariant substructures connected by time-variant interfaces. This approach represents an alternative tool to analyze the time-frequency behavior of bodies in relative sliding with friction. The problem can be tackled in time domain using both primal and dual assembly, and in time-frequency domain using dual assembly to obtain the Time Dependent Frequency Response Functions (TD-FRFs). The equilibrium and the compatibility conditions of the non collocated problem are time dependent and are defined under the assumption that the relative sliding motion at the contact interfaces is known a-priori, at least approximately. The proposed method is applied to a simple finite element model in order to evaluate its effectiveness.