Dynamic stability and efficiency of centrifugal double pendulum vibration absorbers
Résumé
Centrifugal double pendulum vibration absorbers (CDPVAs) can be used to reduce torsional vibrations of rotating machines. These passive devices are made of several double pendulums oscillating relatively to a rotor. This study extends former works on CDPVAs by accounting for the rotational inertia of the pendulums and providing detailed linear and nonlinear analyses of CDPVA dynamics. First, the eigenmodes are computed and an efficient design procedure based on the linear response is proposed. Then, the nonlinear behaviour is assessed using an analytical perturbation method. Of particular interest is the nonlinear antiresonance detuning of the double pendulums, which strongly influences vibration reduction. Moreover, CDPVAs are subjected to nonlinear energy localisation. This causes the double pendulums to oscillate differently, thus affecting the proper operation of the system. The analytical results led to new design guidelines that minimise the antiresonance detuning while avoiding instabilities leading to localised responses. These results are validated through a comparison with a numerical resolution of the system’s dynamics. They are then visualised in the design space to help identify easily the optimal CDPVA designs.
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