Effect of high-frequency excitation on a class of mechanical systems with dynamic friction

The effect of high-frequency excitation on a class of systems with friction is considered. Friction is represented by the LuGre and the elasto-plastic model of friction. Analytical expressions are obtained for the effective friction characteristics under two types of fast excitation. Numerical simulation using MATLAB validates the analytical results. The stability of a velocity tracking system with friction is discussed in light of the effective friction characteristics. Numerical simulation of a MATLAB™ SIMULINK model is carried out to unfold the basic physical mechanism underneath the mathematical expressions.