Two-to-one internal resonance in the higher-order modes of a MEMS beam: Experimental investigation and theoretical analysis via local stability theory

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

doi:10.1016/j.ijnonlinmec.2020.103664

Two-to-one internal resonance in the higher-order modes of a MEMS beam: Experimental investigation and theoretical analysis via local stability theory

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

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

The present study is focused on the dynamics of a microbeam-based MEMS device and analyzes its behavior in the neighborhood of the third natural frequency. An extensive experimental investigation is conducted. The main resonant and non-resonant branches span a wide range of coexistence. The 2:1 internal resonance is activated between the third and fifth modes, in which case the device exhibits complex and intriguing dynamics. The experimental data are examined in depth using various analytical and numerical tools. Alongside with the experiments, theoretical simulations are developed, where the main features of the internal resonance are properly represented and the contribution of each mode is discussed. The main steps of the progression of the 2:1 internal resonance are highlighted and the possibility of more complex internal resonances is explored, where different higher modes are involved.

Original language	English (US)
Pages (from-to)	103664
Journal	International Journal of Non-Linear Mechanics
Volume	129
DOIs	https://doi.org/10.1016/j.ijnonlinmec.2020.103664
State	Published - Jan 17 2021

Bibliographical note

KAUST Repository Item: Exported on 2021-02-01
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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10.1016/j.ijnonlinmec.2020.103664

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title = "Two-to-one internal resonance in the higher-order modes of a MEMS beam: Experimental investigation and theoretical analysis via local stability theory",

abstract = "The present study is focused on the dynamics of a microbeam-based MEMS device and analyzes its behavior in the neighborhood of the third natural frequency. An extensive experimental investigation is conducted. The main resonant and non-resonant branches span a wide range of coexistence. The 2:1 internal resonance is activated between the third and fifth modes, in which case the device exhibits complex and intriguing dynamics. The experimental data are examined in depth using various analytical and numerical tools. Alongside with the experiments, theoretical simulations are developed, where the main features of the internal resonance are properly represented and the contribution of each mode is discussed. The main steps of the progression of the 2:1 internal resonance are highlighted and the possibility of more complex internal resonances is explored, where different higher modes are involved.",

author = "Laura Ruzziconi and Nizar Jaber and Lakshmoji Kosuru and Bellaredj, {Mohammed Lamine Faycal} and Younis, {Mohammad I.}",

note = "KAUST Repository Item: Exported on 2021-02-01 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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doi = "10.1016/j.ijnonlinmec.2020.103664",

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AU - Ruzziconi, Laura

AU - Jaber, Nizar

AU - Kosuru, Lakshmoji

AU - Bellaredj, Mohammed Lamine Faycal

AU - Younis, Mohammad I.

N1 - KAUST Repository Item: Exported on 2021-02-01 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.

PY - 2021/1/17

Y1 - 2021/1/17

N2 - The present study is focused on the dynamics of a microbeam-based MEMS device and analyzes its behavior in the neighborhood of the third natural frequency. An extensive experimental investigation is conducted. The main resonant and non-resonant branches span a wide range of coexistence. The 2:1 internal resonance is activated between the third and fifth modes, in which case the device exhibits complex and intriguing dynamics. The experimental data are examined in depth using various analytical and numerical tools. Alongside with the experiments, theoretical simulations are developed, where the main features of the internal resonance are properly represented and the contribution of each mode is discussed. The main steps of the progression of the 2:1 internal resonance are highlighted and the possibility of more complex internal resonances is explored, where different higher modes are involved.

AB - The present study is focused on the dynamics of a microbeam-based MEMS device and analyzes its behavior in the neighborhood of the third natural frequency. An extensive experimental investigation is conducted. The main resonant and non-resonant branches span a wide range of coexistence. The 2:1 internal resonance is activated between the third and fifth modes, in which case the device exhibits complex and intriguing dynamics. The experimental data are examined in depth using various analytical and numerical tools. Alongside with the experiments, theoretical simulations are developed, where the main features of the internal resonance are properly represented and the contribution of each mode is discussed. The main steps of the progression of the 2:1 internal resonance are highlighted and the possibility of more complex internal resonances is explored, where different higher modes are involved.

UR - http://hdl.handle.net/10754/667126

UR - https://linkinghub.elsevier.com/retrieve/pii/S0020746220303267

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DO - 10.1016/j.ijnonlinmec.2020.103664

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SN - 0020-7462

VL - 129

SP - 103664

JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

ER -

Two-to-one internal resonance in the higher-order modes of a MEMS beam: Experimental investigation and theoretical analysis via local stability theory

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