Analytical and numerical approach on quenching friction-induced oscillations in MDOF-systems by the use of high-frequency excitation

Dry friction is well known to lead to undesired, self-excited vibrations which negatively influence a process or cause discomfort. One attempt to quench these oscillations are superposed high-frequency vibrations. A system consisting of two visco-elastically coupled masses on a moving belt subject to high-frequency excitation is analyzed. A multiple scales method is used to find an analytical approach of the system dynamics, which leads to the equation for the slow motion of the system, which is of interest. Linearizing about the quasi-equilibrium and analyzing the eigenvalues, statements about the stability of the new equilibrium point can be given. These semi-analytical results are compared to the numerical solution of the full system and the influence of certain parameters is outlined.