Hybrid Bandgaps in Mass-coupled Bragg Atomic Chains: Generation and Switching
Journal
Frontiers in Materials
Journal Volume
8
Start Page
774612
ISSN
22968016
Date Issued
2021
Author(s)
Abstract
In this work, without introducing mass-in-mass units or inertial amplification mechanisms, we show that two Bragg atomic chains can form an acoustic metamaterial that possesses different types of bandgaps other than Bragg ones, including local resonance and inertial amplification-like bandgaps. Specifically, by coupling masses of one monatomic chain to the same masses of a diatomic or triatomic chain, hybrid bandgaps can be generated and further be switched through the adjustment of the structural parameters. To provide a tuning guidance for the hybrid bandgaps, we derived an analytical transition parameter (p-value) for the mass-coupled monatomic/diatomic chain and analytical discriminants for the mass-coupled monatomic/triatomic chain. In our proposed mass-coupled monatomic/triatomic chain system, each set of analytical discriminants determines a hybrid bandgap state and a detailed examination reveals 14 different bandgap states. In addition to bandgap switching, the analytical p-value and discriminants can also be used as a guide for designing the coupled-chain acoustic metamaterials. The relations between the mass-coupled monatomic/triatomic chain system and a three-degree-of-freedom (DOF) inertial amplification system further indicate that the band structure of the former is equivalent to that of the latter through coupling masses by negative dynamic stiffness springs.
Subjects
Atomic Chains
Bandgaps, Local Resonance
Inertial Amplification
Metamaterials
Phononic Crystal
Atoms
Crystals
Degrees Of Freedom (mechanics)
Metamaterials
Acoustic Metamaterial
Atomic Chains
Bandgap State
Bandgap, Local Resonance
Chain Systems
Coupling Mass
Inertial Amplification
Local Resonance
P-values
Phononic Crystal
Energy Gap
Publisher
Frontiers Media S.A.
Type
journal article