Suppression of Limit Cycle Oscillations using the Nonlinear Tuned Vibration Absorber

TL;DR

This paper introduces a passive nonlinear vibration absorber designed to suppress limit cycle oscillations in mechanical systems, with parameters analytically derived and validated through numerical methods.

Contribution

It presents a novel nonlinear tuned vibration absorber with an unconstrained restoring force form, providing a new approach for controlling oscillations.

Findings

Effective suppression of limit cycle oscillations demonstrated

Analytical design method validated by numerical continuation

Applicable to nonlinear systems like Van der Pol-Duffing

Abstract

The objective of the present study is to mitigate, or even completely eliminate, the limit cycle oscillations in mechanical systems using a passive nonlinear absorber, termed the nonlinear tuned vibration absorber (NLTVA). An unconventional aspect of the NLTVA is that the mathematical form of its restoring force is not imposed a priori, as it is the case for most existing nonlinear absorbers. The NLTVA parameters are determined analytically using stability and bifurcation analyses, and the resulting design is validated using numerical continuation. The proposed developments are illustrated using a Van der Pol-Duffing primary system.