Metadamping: An emergent phenomenon in dissipative metamaterials
arXiv:1206.4577 · doi:10.1016/j.jsv.2013.04.041
Abstract
We theoretically demonstrate the concept of metadamping in dissipative metamaterials. We consider an infinite mass-spring chain with repeated local resonators and a statically equivalent periodic chain whose wave propagation characteristics are based on Bragg scattering. For each system we introduce identical viscous damping (dashpot) elements and compare the damping ratio associated with all Bloch modes. We find that the locally resonant metamaterial exhibits higher dissipation overall which indicates a damping emergence phenomena due to the presence of local resonance. We conclude our investigation by quantifying the degree of emergent damping as a function of the long-wave speed of sound in the medium or the static stiffness.
Cited by in corpus (14)
- Formation of Local Resonance Band Gaps in Finite Acoustic Metamaterials: A Closed-form Transfer Function Model
- Generalized Bloch's theorem for viscous metamaterials: Dispersion and effective properties based on frequencies and wavenumbers that are simultaneously complex
- Computational design of locally resonant acoustic metamaterials
- Acoustic metamaterial absorbers based on confined sonic crystals
- Multiresonant Layered Acoustic Metamaterial (MLAM) solution for broadband low-frequency noise attenuation through double-peak sound transmission loss response
- The Extreme Mechanics of Viscoelastic Metamaterials
- Nonlinear dispersion relation in anharmonic periodic mass-spring and mass-in-mass systems
- Metaharvesting: Emergent energy harvesting by piezoelectric metamaterials
- Theoretical band-gap bounds and coupling sensitivity for a periodic medium with branching resonators
- Anomalous transmission through periodic resistive sheets
- Dissipation engineering in metamaterials by localized structural dynamics
- Localized energy absorbers in Hertzian chains
- A Framework to Systematically Study the Nonlinear Fluid-Structure Interaction of Phononic Materials with Aerodynamic Flows
- Metadamping in inertially amplified metamaterials: Trade-off between spatial attenuation and temporal attenuation