TY - GEN
T1 - Merging mechanical and electromechanical locally resonant bandgaps in metamaterials
AU - Sugino, Christopher
AU - Ruzzene, Massimo
AU - Erturk, Alper
N1 - Publisher Copyright:
© 2017 International Center for Numerical Methods in Engineering. All rights reserved.
PY - 2017
Y1 - 2017
N2 - It is well known that locally resonant (LR) metamaterials exhibit bandgaps at wavelengths much larger than the lattice size, which can be exploited in various applications such as low-frequency vibration attenuation. In this work, we explore the combination of mechanical and electromechanical LR bandgaps in the same single metastructure for bandwidth enhancement by focusing on a cantilevered composite Euler-Bernoulli beam under transverse vibrations. The nature of bandgap formation in mechanical/elastic and electromechanical/electroelastic (more specifically piezoelectric) LR metamaterials is fundamentally different. LR bandgap in mechanical metamaterials made from a continuous structure with array of spring-mass attachments tuned to a certain frequency is associated with a frequency-dependent modal mass term. However, LR bandgap in electromechanical metamaterials made from an array of resonant piezoelectric shunt circuits (again, tuned to a certain frequency) is associated with a frequency-dependent modal stiffness term. As an important consequence, the mechanical LR bandgap forms above the target frequency of tuned resonators, and its size depends on the resonator to host structure mass ratio; while the electromechanical LR bandgap forms below the target frequency, and its size depends on the overall system-level electromechanical coupling coefficient. We show that targeting the same resonant frequency in spring-mass and inductive-capacitive circuits in the same single structure results in an enhanced bandgap. Modal analysis of the finite composite metastructure is presented and closed form expressions are obtained to analytically estimate the hybrid mechanical-electromechanical bandgap.
AB - It is well known that locally resonant (LR) metamaterials exhibit bandgaps at wavelengths much larger than the lattice size, which can be exploited in various applications such as low-frequency vibration attenuation. In this work, we explore the combination of mechanical and electromechanical LR bandgaps in the same single metastructure for bandwidth enhancement by focusing on a cantilevered composite Euler-Bernoulli beam under transverse vibrations. The nature of bandgap formation in mechanical/elastic and electromechanical/electroelastic (more specifically piezoelectric) LR metamaterials is fundamentally different. LR bandgap in mechanical metamaterials made from a continuous structure with array of spring-mass attachments tuned to a certain frequency is associated with a frequency-dependent modal mass term. However, LR bandgap in electromechanical metamaterials made from an array of resonant piezoelectric shunt circuits (again, tuned to a certain frequency) is associated with a frequency-dependent modal stiffness term. As an important consequence, the mechanical LR bandgap forms above the target frequency of tuned resonators, and its size depends on the resonator to host structure mass ratio; while the electromechanical LR bandgap forms below the target frequency, and its size depends on the overall system-level electromechanical coupling coefficient. We show that targeting the same resonant frequency in spring-mass and inductive-capacitive circuits in the same single structure results in an enhanced bandgap. Modal analysis of the finite composite metastructure is presented and closed form expressions are obtained to analytically estimate the hybrid mechanical-electromechanical bandgap.
KW - Bandgap
KW - Electromechanical
KW - Locally resonant
KW - Mechanical
KW - Metamaterial
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M3 - Conference contribution
AN - SCOPUS:85045426139
T3 - 8th Conference on Smart Structures and Materials, SMART 2017 and 6th International Conference on Smart Materials and Nanotechnology in Engineering, SMN 2017
SP - 1669
EP - 1676
BT - 8th Conference on Smart Structures and Materials, SMART 2017 and 6th International Conference on Smart Materials and Nanotechnology in Engineering, SMN 2017
A2 - Guemes, Alfredo
T2 - 8th ECCOMAS Thematic Conference on Smart Structures and Materials, SMART 2017 and 6th International Conference on Smart Materials and Nanotechnology in Engineering, SMN 2017
Y2 - 5 June 2017 through 8 June 2017
ER -