#6811. Multimodal vibration suppression of nonlinear Euler–Bernoulli beam by multiple time-delayed vibration absorbers

December 2026publication date
Proposal available till 26-05-2025
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Journal’s subject area:
Mechanical Engineering;
Mechanics of Materials;
Condensed Matter Physics;
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Abstract:
For a nonlinear beam under broadband excitations, the multimodal nonlinear resonance phenomena will be induced. To suppress the multimodal nonlinear resonances, the multiple time-delayed vibration absorbers (TDVAs) are introduced. The optimal time-delayed parameters of the TDVAs are determined by the proposed multimodal equal-peak principle consisting of three design criteria. In the proposed three criteria, the stability criterion ensures the stability of the equilibrium state for the system; the extremes equal criterion figures out the time-delayed parameters to realize the equal resonance peaks around each concerned mode; the minimum peak criterion can obtain the optimal time-delayed parameters for the minimum resonance peaks. The results show that the TDVAs designed by the proposed multimodal equal-peak principle consisting of three criteria could simultaneously suppress the resonance peaks of the beam around multiple modes to the equal and minimum values. Besides, the equal resonance peaks are much lower than the absorbers without time-delayed feedback under the same mass constraint. The proposed TDVAs and the multimodal equal-peak principle have wide application prospects in suppressing the multimodal vibrations for nonlinear continuous systems with broad frequency band and large amplitudes excitation in the fields of civil engineering and aerospace.
Keywords:
Multimodal equal-peak principle; Multimodal vibration suppression; Multiple time-delayed vibration absorbers; Nonlinear beam

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