Numerical antiresonance continuation of structural systems

A. Renault (1, 2) , O. Thomas (1) , H. Mahé (2)

1 LISPEN - Laboratoire d’Ingénierie des Systèmes Physiques et Numériques
2 VALEO

Tuned dynamic absorbers are usually used to counteract vibrations at a given frequency. Presence of non-linearities causes energy-dependent relationship of their resonance and antiresonance frequencies at large amplitude of motion, which consequently leads to adetuning of the absorber from the targeted frequency. This paper presents a procedure to track an extremum point (minimum or maximum) of nonlinear frequency responses, based on a numerical continuation technique coupled to the harmonic balance method to follow periodic solutions in forced steady-state. It thus enable to track a particular antiresonance. The procedure is tested and applied on some application cases to highlight the resonance and antiresonance behavior in presence of geometrically non-linear and/or inertial interactions.

Mots clés: Antiresonance continuation; Extremum tracking; Path following method; Harmonic balance method; Euler’s pendulum

Domaines: Vibrations [physics.class-ph]

A. Renault, O. Thomas, H. Mahé. Numerical antiresonance continuation of structural systems. Mechanical Systems and Signal Processing, 2019, 116, pp.963-984. ⟨hal-02154125⟩