Modeling of fan waves taking into account the resistance to separation of domino-slabs in a fan-shaped system

In our research, we analyze the laboratory physical model of the system of rotating bonded slabs on inclined plane, which was created to imitate the process of fan waves formation and propagation in hard rocks at the depths of seismic activity in the Earth's crust. Mathematical model of the dynamics of this system as a mechanical system with a finite number of degrees of freedom is realized by means of the Merson method for numerical solution of ordinary differential equations. We consider two approaches describing the resistance to separation of slabs in a fan-structure. In the first of them, a nonlinear tension diagram for the bonds between the slabs with a characteristic tooth simulating the initial strength of the bonds is determined. In the second one, the value of limiting force is assumed to be given. Comparison of the computational results by these two approaches shows a good qualitative and quantitative correspondence. The influence of dry friction on the process of motion of a fan as well as the dependence of the speed of a fan on the geometrical and mechanical parameters of a system are analyzed.