Abstract

A driven spring-mass system supplemented by a loosely mounted, freely sliding damper mass is investigated. This oscillator is a simple model of a damping principle applied to turbine blades in turbomachines to suppress airflow-induced oscillations. Its mathematical model is a piecewise smooth (Filippov) system whose phase space contains a sliding section representing the sticking phases of the damper mass. This leads to a rich dynamics that is investigated and analyzed by means of resonance curves, Lyapunov diagrams, Poincaré sections and reductions to two-dimensional iterated maps.

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