STABILITY OF FRICTION-INDUCED VIBRATIONS IN MULTI-DEGREE-OF-FREEDOM SYSTEMS

A stability analysis of friction-induced vibrations is presented considering a multi-degree-of-freedom system. Stability analysis based on the linearized model of the system was used to predict the system response, qualitatively describing bifurcations associated with the crossover of the system poles. Solutions to the non-linear equations of motion were obtained numerically to obtain the actual system response, which demonstrates the existence of limit cycles, and of quasi-periodic and even chaotic behavior. Conditions leading to synchronous and asynchronous spectra are discussed.