Hardening Softening Behavior of Antiresonance for Non Linear Torsional Vibration Absorbers

Abstract eng:
We address non linear torsional vibration absorbers (TVA), used in rotating machinery to counteract irregularities of rotation at a some order of the engine speed of rotation. The TVA is analogous to a tuned mass damper (TMD), tuned on the desired order. It exhibits non-linearities of various natures which affect resonance and antiresonance frequencies at large amplitude of motion, which consequently causes the detuning of the system from the targetted order. This study focuses on some non linear systems (several TVA designs and a more general Duffing like system) to study the impact of non-linearities on the hardening / softening behavior of antiresonances. Non linear solutions are obtained by a numerical continuation procedure coupled with the harmonic balance method to follow periodic solutions in forced steady-state. Moreover, we propose an original direct antiresonance continuation method for undamped systems.

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