Mode Coupling and Nonlinear Resonances of MEMS Arch Resonators for Bandpass Filters

Amal Hajjaj, Md Abdullah Al Hafiz, Mohammad I. Younis

Research output: Contribution to journalArticlepeer-review

89 Scopus citations


We experimentally demonstrate an exploitation of the nonlinear softening, hardening, and veering phenomena (near crossing), where the frequencies of two vibration modes get close to each other, to realize a bandpass filter of sharp roll off from the passband to the stopband. The concept is demonstrated based on an electrothermally tuned and electrostatically driven MEMS arch resonator operated in air. The in-plane resonator is fabricated from a silicon-on-insulator wafer with a deliberate curvature to form an arch shape. A DC current is applied through the resonator to induce heat and modulate its stiffness, and hence its resonance frequencies. We show that the first resonance frequency increases up to twice of the initial value while the third resonance frequency decreases until getting very close to the first resonance frequency. This leads to the phenomenon of veering, where both modes get coupled and exchange energy. We demonstrate that by driving both modes nonlinearly and electrostatically near the veering regime, such that the first and third modes exhibit softening and hardening behavior, respectively, sharp roll off from the passband to the stopband is achievable. We show a flat, wide, and tunable bandwidth and center frequency by controlling the electrothermal actuation voltage.
Original languageEnglish (US)
JournalScientific Reports
Issue number1
StatePublished - Jan 30 2017

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: We acknowledge financial support from King Abdullah University of Science and Technology.


Dive into the research topics of 'Mode Coupling and Nonlinear Resonances of MEMS Arch Resonators for Bandpass Filters'. Together they form a unique fingerprint.

Cite this