TY - JOUR
T1 - Bandgap Dynamics in Locally Resonant Metastructures
T2 - A General Theory of Internal Resonator Coupling
AU - Alimohammadi, Hossein
AU - Vassiljeva, Kristina
AU - HosseinNia, S. Hassan
AU - Petlenkov, Eduard
PY - 2024
Y1 - 2024
N2 - The dynamics of metastructures, incorporating both conventional and internally coupled resonators, are investigated to enhance vibration suppression capabilities through a novel mathematical framework. A close-form formulation and a transfer function methodology are introduced, integrating control system theory with metastructure analysis, offering new insights into the role of internal coupling. The findings reveal that precise internal coupling, when matched exactly to the stiffness of the resonator, enables the clear formation of secondary bandgaps, significantly influencing the vibration isolation efficacy of the metastructure. Although the study primarily focuses on theoretical and numerical analyses, the implications of adjusting mass distribution on resonators are also explored. This formulation methodology enables the adjustment of bandgap characteristics, underscoring the potential for adaptive control over bandgaps in metastructures. Such capabilities are crucial for tailoring the vibration isolation and energy harvesting functionalities in mechanically resonant systems, especially when applied to demanding heavy-duty applications.
AB - The dynamics of metastructures, incorporating both conventional and internally coupled resonators, are investigated to enhance vibration suppression capabilities through a novel mathematical framework. A close-form formulation and a transfer function methodology are introduced, integrating control system theory with metastructure analysis, offering new insights into the role of internal coupling. The findings reveal that precise internal coupling, when matched exactly to the stiffness of the resonator, enables the clear formation of secondary bandgaps, significantly influencing the vibration isolation efficacy of the metastructure. Although the study primarily focuses on theoretical and numerical analyses, the implications of adjusting mass distribution on resonators are also explored. This formulation methodology enables the adjustment of bandgap characteristics, underscoring the potential for adaptive control over bandgaps in metastructures. Such capabilities are crucial for tailoring the vibration isolation and energy harvesting functionalities in mechanically resonant systems, especially when applied to demanding heavy-duty applications.
KW - distributed parameter model
KW - internally-coupled resonators
KW - metastructures
KW - modal analysis
KW - spatial variation
UR - http://www.scopus.com/inward/record.url?scp=85192536950&partnerID=8YFLogxK
U2 - 10.3390/app14062447
DO - 10.3390/app14062447
M3 - Article
AN - SCOPUS:85192536950
SN - 2076-3417
VL - 14
JO - Applied Sciences (Switzerland)
JF - Applied Sciences (Switzerland)
IS - 6
M1 - 2447
ER -