Journal
SMART MATERIALS AND STRUCTURES
Volume 30, Issue 4, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1361-665X/abea02
Keywords
tunable resonators; MEMS; nonlinear systems; parametric excitation; energy harvester
Funding
- ECCS division of the National Science Foundation [1936776, 1829821]
- National Science Foundation [ECCS-1542174]
- Div Of Electrical, Commun & Cyber Sys
- Directorate For Engineering [1829821, 1936776] Funding Source: National Science Foundation
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In this study, a parametrically driven capacitive electromechanical resonator with multiple electrical degrees of freedom is simulated and experimentally demonstrated. By tuning the electrical circuit parameters, multiple frequency bands of operation are achieved, including nondegenerate parametric resonance. The method allows for operation over a broader range of frequencies compared to purely mechanical approaches and can achieve parametric resonance in the presence of high mechanical damping.
Parametric excitation (PE) has widely been employed as a method of mechanical pre-amplification in nonlinear vibration energy harvesting systems. However, despite their advantages, most current PE systems are limited to degenerate parametric operation within a narrow frequency band around the primary instability tongue. In this paper, we simulate and experimentally demonstrate a parametrically driven capacitive electromechanical resonator having multiple electrical degrees of freedom. Multiple modes allow for several frequency bands in which the electrical resonator is driven into nondegenerate (combination) parametric resonance (PR) in addition to degenerate resonance, thereby enabling operation over a broader range of frequencies while maintaining the same mechanical footprint. These frequency bands and PR thresholds are tunable by simply changing the electrical circuit parameters and PR can be achieved in the presence of high mechanical damping making the method more adaptable than purely mechanical approaches. Experimental results are extended by simulations indicating that proper selection of operating parameters can enable the merging of instability tongues to produce a broadband region of PR for elastic wave energy harvesting thereby obtaining superior performance when compared to an equivalent single degree of freedom PE energy harvester.
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