Internal resonance in the higher-order modes of a MEMS beam: experiments and global analysis

Laura Ruzziconi, Nizar Jaber, Lakshmoji Kosuru, Mohammed Lamine Faycal Bellaredj, Mohammad I. Younis

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10 Scopus citations


This work investigates the dynamics of a microbeam-based MEMS device in the neighborhood of a 2:1 internal resonance between the third and fifth vibration modes. The saturation of the third mode and the concurrent activation of the fifth are observed. The main features are analyzed extensively, both experimentally and theoretically. We experimentally observe that the complexity induced by the 2:1 internal resonance covers a wide driving frequency range. Constantly comparing with the experimental data, the response is examined from a global perspective, by analyzing the attractor-basins scenario. This analysis is conducted both in the third-mode and in fifth-mode planes. We show several metamorphoses occurring as proceeding from the principal resonance to the 2:1 internal resonance, up to the final disappearance of the resonant and non-resonant attractors. The shape and wideness of all the basins are examined. Although they are progressively eroded, an appreciable region is detected where the compact cores of the attractors involved in the 2:1 internal resonance remain substantial, which allows effectively operating them under realistic conditions. The dynamical integrity of each resonant branch is discussed, especially as approaching the bifurcation points where the system becomes more vulnerable to the dynamic pull-in instability.
Original languageEnglish (US)
Pages (from-to)2197-2226
Number of pages30
JournalNonlinear Dynamics
Issue number3
StatePublished - Feb 15 2021

Bibliographical note

KAUST Repository Item: Exported on 2021-03-26
Acknowledgements: The work has been developed during the visit of Laura Ruzziconi to King Abdullah University of Science and Technology (KAUST), Saudi Arabia; the kind hospitality is gratefully acknowledged. Nizar Jaber acknowledges support of King Fahd University of Petroleum and Minerals. This work is supported through KAUST Funds.


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