485 citations · 758 across the 13 of their papers we have counts for
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Subwavelength topological interface modes in a multilayered vibroacoustic metamaterial
Majdi O. Gzal, Joshua R. Tempelman, Kathryn H. Matlack +1
We present a systematic and rigorous analytical approach, based on the transfer matrix methodology, to study the existence, evolution, and robustness of subwavelength topological i…
Sub-Bragg Phenomena in Multilayered Vibroacoustic Phononic Metamaterials
Majdi O. Gzal, Lawrence A. Bergman, Kathryn H. Matlack +1
Beyond classical Bragg diffraction, we report on new sub-Bragg phenomena to achieve enhanced sound wave tunability in the low-frequency range in a multilayered acoustic metamateria…
A Quantitative Study of Energy Localization Characteristics in Defect-embedded Phononic Crystals
Vinod Ramakrishnan, Kathryn H. Matlack
Phononic crystals (PnCs) are periodic engineered media that can customize the spatio-temporal characteristics of mechanical energy propagation. PnCs that additionally leverage prec…
Analytical Study of a Monolayered Vibroacoustic Metamaterial
Majdi O. Gzal, Lawrence A. Bergman, Kathryn H. Matlack +1
This study investigates a vibroacoustic phononic metamaterial system composed of repeated monolayered membrane-air cavity unit-cells to assess its efficacy in controlling sound wav…
Wavenumber Scattering and Inter-band Targeted Energy Transfer in Phononic Lattices with Local Vibro-Impact Nonlinearities
Joshua R. Tempelman, Kathryn H. Matlack, Alexander F. Vakakis
We propose a method for manipulating wave propagation in phononic lattices by employing local vibro-impact (VI) nonlinearities to \textit{scatter} energy across the underling linea…
A Modal Decomposition Approach to Topological Wave Propagation
Joshua R Tempelman, Alexander F Vakakis, Kathryn H Matlack
The characteristics of topologically protected wave propagation is typically predicted via the band structure of the primitive unit cell, using Berry curvature to predict localized…
Topological Protection in a Strongly Nonlinear Interface Lattice
Joshua R. Tempelman, Kathryn H. Matlack, Alexander F. Vakakis
Mechanical topological insulators are well understood for linear and weakly nonlinear systems, however traditional analysis methods break down for strongly nonlinear systems since…
Effective Phononic Crystals for Non-Cartesian Elastic Wave Propagation
Ignacio Arretche, Kathryn H. Matlack
We introduce the concept of effective phononic crystals, which combine periodicity with varying isotropic material properties to force periodic coefficients in the elastic equation…