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 journalArticlepeer-review

1 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 languageEnglish (US)
Pages (from-to)103664
JournalInternational Journal of Non-Linear Mechanics
Volume129
DOIs
StatePublished - Jan 17 2021

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