Session: DAC-10-4: Design of Engineering Materials and Structures

Paper Number: 148440

148440 - Topology Optimization Design of Resonators for Elastodynamic Locally Resonant Metasurfaces 

Elastic-guided waves have a wide range of applications in various fields, e.g., Non-Destructive Evaluation (NDE), Structural Health Monitoring (SHM), Surface Acoustic Waves (SAW) devices, material characterization, sensors and actuators, and acoustic/elastic metamaterials. Locally Resonant Metasurfaces (LRM), which are more relevant to this work, are a sub-class of metamaterials composed of surface-mounted resonators interacting with guided waves, effectively preventing their propagation. The appropriate design of these resonators is fundamental for frequency bandgap generation with LRM.  Resonator designs for LRM have been proposed, typically using simplified geometries conceived empirically or experimentally. Recently, some unit cell designs for phononic crystals have been presented by tailoring dispersion curves using optimization or machine learning methods. However, our investigation demonstrates that frequency bandgaps in LRM are controlled by tailoring the resonators’ resonances and antiresonances. A design methodology to realize resonant structures is missing. In this work, we present a systematic design methodology based on double antiresonance matching to conceive resonant structures using a density-based Topology Optimization (TO). When this methodology is generalized to design resonators for LRM, antiresonances for in-plane and out-of-plane surface wave motion control the generation of wider and stronger bandgaps, compared to using a single antiresonance. Numerical and experimental investigations demonstrated the design methodology's effectiveness in conceiving resonant structures for locally resonant metasurfaces.

Presenting Author: Mary Frecker The Pennsylvania State University

Presenting Author Biography: Mary Frecker is the department head and professor of mechanical engineering at the Pennsylvania State University, she is also the Riess Chair of Engineering and director of the Penn State Center for Biodevices. Her research focuses on topology optimization of adaptive structures, compliant mechanisms, and self-folding origami mechanisms, with applications including the design of medical devices.

Authors:

Daniel Giraldo Guzman Pennsylvania State University
Lalith Sai Srinivas Pillarisetti The Pennsylvania State University
Cliff Lissenden The Pennsylvania State University
Parisa Shokouhi The Pennsylvania State University
Mary Frecker The Pennsylvania State University