55 citations · 210 across the 11 of their papers we have counts for
11 papers
Green's Function Approach to Model Vibrations of Beams with Spatiotemporally Modulated Properties
Benjamin M. Goldsberry, Andrew N. Norris, Samuel P. Wallen +1
The forced time harmonic response of a spatiotemporally-modulated elastic beam of finite length with light damping is derived using a novel Green's function approach. Closed-form s…
Strongly Nonlinear Wave Propagation in Elasto-plastic Metamaterials: Low-order Dynamic Modeling
Samuel P. Wallen, Michael R. Haberman, Washington DeLima
Nonlinear elastic metamaterials are known to support a variety of dynamic phenomena that enhance our capacity to manipulate elastic waves. Since these properties stem from complex,…
Data-driven Identification of Parametric Governing Equations of Dynamical Systems Using the Signed Cumulative Distribution Transform
Abu Hasnat Mohammad Rubaiyat, Duy H. Thai, Jonathan M. Nichols +6
This paper presents a novel data-driven approach to identify partial differential equation (PDE) parameters of a dynamical system. Specifically, we adopt a mathematical "transport"…
Nonreciprocity and mode conversion in a spatiotemporally modulated elastic wave circulator
Benjamin M. Goldsberry, Samuel P. Wallen, Michael R. Haberman
Acoustic and elastic metamaterials with time- and space-dependent material properties have received great attention recently as a means to break reciprocity for propagating mechani…
Longitudinal Eigenvibration of Multilayer Colloidal Crystals and the Effect of Nanoscale Contact Bridges
Maroun Abi Ghanem, Amey Khanolkar, Samuel P. Wallen +5
Longitudinal contact-based vibrations of colloidal crystals with a controlled layer thickness are studied. These crystals consist of 390 nm diameter polystyrene spheres arranged in…
Non-reciprocal wave phenomena in spring-mass chains with effective stiffness modulation induced by geometric nonlinearity
Samuel P. Wallen, Michael R. Haberman
Acoustic non-reciprocity has been shown to enable a plethora of effects analogous to phenomena seen in quantum physics and electromagnetics, such as immunity from back-scattering a…
Contact-based and spheroidal vibrational modes of a hexagonal monolayer of microspheres on a substrate
A. Vega-Flick, R. A. Duncan, S. P. Wallen +6
We study acoustic modes of a close-packed hexagonal lattice of spheres adhered to a substrate, propagating along a high-symmetry direction. The model, accounting for both normal an…
Shear to longitudinal mode conversion via second harmonic generation in a two-dimensional microscale granular crystal
Samuel P. Wallen, Nicholas Boechler
Shear to longitudinal mode conversion via second harmonic generation is studied theoretically and computationally for plane waves in a two-dimensional, adhesive, hexagonally close-…
Complex contact-based dynamics of microsphere monolayers revealed by resonant attenuation of surface acoustic waves
Morgan Hiraiwa, Maroun Abi Ghanem, Samuel P. Wallen +3
Contact-based vibrations play a critical role in the dynamics of granular materials. Significant insights into vibrational granular dynamics have been obtained with reduced-dimensi…
Dynamics of a Monolayer of Microspheres on an Elastic Substrate
Samuel P. Wallen, Alexei A. Maznev, Nicholas Boechler
We present a model for wave propagation in a monolayer of spheres on an elastic substrate. The model, which considers sagittally polarized waves, includes: horizontal, vertical, an…
A Self-Assembled Metamaterial for Lamb Waves
Amey Khanolkar, Samuel Wallen, Maroun Abi Ghanem +3
We report the design and characterization of a self-assembled, locally resonant acoustic metamaterial for Lamb waves, composed of a monolayer of m polystyrene microsphere…