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Frequency-locking in nonlinear forced oscillators near 3:1 and 4:1 resonances

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Annals of Solid and Structural Mechanics

Abstract

In this paper, frequency-locking phenomenon in self-excited nonlinear oscillators subjected to harmonic excitation is investigated near the 3:1 and 4:1 subharmonic resonances. Analytical treatment based on perturbation techniques is performed to study the quasiperiodic modulation domain and the frequency-locking area in the vicinity of these resonances. It is shown that this analytical method, based on a double averaging procedure, is efficient to capture the modulation domain of the quasiperiodic response as well as the threshold of synchronization area near the considered subharmonic resonances.

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Authors and Affiliations

  1. University Hassan II-Casablanca, Casablanca, Morocco

    Mohamed Belhaq

  2. FSTM, University Hassan II-Mohammadia, Mohammadia, Morocco

    Abdelhak Fahsi

Authors
  1. Mohamed Belhaq
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  2. Abdelhak Fahsi
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Correspondence to Mohamed Belhaq.

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Belhaq, M., Fahsi, A. Frequency-locking in nonlinear forced oscillators near 3:1 and 4:1 resonances. Ann. Solid Struct. Mech. 4, 15–23 (2012). https://doi.org/10.1007/s12356-012-0029-9

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  • DOI: https://doi.org/10.1007/s12356-012-0029-9

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