Vibration suppression of beam subjected to multiple harmonic excitations by imposing nodes using multiple neutralizers

This research presents an effective vibration suppression strategy for beams subjected to multiple harmonic excitations by imposing nodes using multiple vibration neutralisers. The primary objective is to isolate precision devices modelled as lumped masses supported on a beam by creating locations of near-zero vibration response. An imposing-node methodology is employed, wherein multiple tunable vibration neutralisers are strategically attached to the beam to enforce nodal points corresponding to distinct excitation frequencies. An efficient algorithm is developed to determine the required resonance frequencies of the neutralisers for given masses and attachment locations under multi-harmonic excitation conditions. Design plots are generated to facilitate the selection of feasible neutraliser attachment locations while limiting neutraliser vibration amplitudes. Numerical simulations based on the assumed-modes method and experimental investigations on a cantilever beam are conducted to validate the proposed approach. The results demonstrate significant vibration attenuation and good agreement between numerical and experimental outcomes, confirming the effectiveness of the proposed vibration suppression technique.