Bandgap modulation in active metamaterial beams through feedback control

Conference Paper (2024)
Author(s)

M.B. Kaczmarek (TU Delft - Mechatronic Systems Design)

V. Gupta (TU Delft - Mechatronic Systems Design)

S. Hassan Hassan HosseinNia (TU Delft - Mechatronic Systems Design)

Research Group
Mechatronic Systems Design
DOI related publication
https://doi.org/10.1109/Metamaterials62190.2024.10703257
More Info
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Publication Year
2024
Language
English
Research Group
Mechatronic Systems Design
ISBN (electronic)
979-8-3503-7349-3
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Abstract

Incorporating actively implemented resonators within elastic piezoelectric metastructures presents a unique approach for vibration attenuation, enabling the creation of tuneable low-frequency bandgaps. Through feedback control, we enhance the compactness of these metastructures by integrating resonator dynamics internally. We study the influence of varying the cross-section of the base substrate and the arrangement of transducers on bandgap generation. This influence is captured by the changes in the electromechanical coupling and stiffness of the metastructure, which appear directly in the formulas for bandgap edge frequencies in ideal conditions. This relationship is illustrated with numerical examples for realistic metastructures with a finite number of transducers. Our focus is on metastructures with sensors and actuators, employing feedback control techniques for resonator implementation as an alternative to shunt circuits. When a bandgap is generated in a finite metastructure, its edge frequencies can be calculated in closed form using the assumption of an infinite number of transducers of infinitesimal length distributed along the structure.

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