Non-reciprocal wave propagation in mechanically-modulated continuous elastic metamaterials

Goldsberry, Benjamin M.; Wallen, Samuel P.

doi:10.1121/1.5115019

Cited by 45 publications

(27 citation statements)

References 38 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Goldsberry et al. [ 119 ] took a different approach to break reciprocity. The authors exploit mechanical modulation of pre‐strain in a honeycomb structure to generate non‐reciprocal wave phenomena in metamaterials with time‐ and space‐dependent effective material properties.…”

Section: Metamaterials Static and Dynamic Behaviorsmentioning

confidence: 99%

Foundations for Soft, Smart Matter by Active Mechanical Metamaterials

Pishvar

Harne

2020

Advanced Science

View full text Add to dashboard Cite

Emerging interest to synthesize active, engineered matter suggests a future where smart material systems and structures operate autonomously around people, serving diverse roles in engineering, medical, and scientific applications. Similar to biological organisms, a realization of active, engineered matter necessitates functionality culminating from a combination of sensory and control mechanisms in a versatile material frame. Recently, metamaterial platforms with integrated sensing and control have been exploited, so that outstanding non‐natural material behaviors are empowered by synergistic microstructures and controlled by smart materials and systems. This emerging body of science around active mechanical metamaterials offers a first glimpse at future foundations for autonomous engineered systems referred to here as soft, smart matter. Using natural inspirations, synergy across disciplines, and exploiting multiple length scales as well as multiple physics, researchers are devising compelling exemplars of actively controlled metamaterials, inspiring concepts for autonomous engineered matter. While scientific breakthroughs multiply in these fields, future technical challenges remain to be overcome to fulfill the vision of soft, smart matter. This Review surveys the intrinsically multidisciplinary body of science targeted to realize soft, smart matter via innovations in active mechanical metamaterials and proposes ongoing research targets that may deliver the promise of autonomous, engineered matter to full fruition.

show abstract

Section: Metamaterials Static and Dynamic Behaviorsmentioning

confidence: 99%

Foundations for Soft, Smart Matter by Active Mechanical Metamaterials

Pishvar

Harne

2020

Advanced Science

View full text Add to dashboard Cite

show abstract

“…For example, nonlinear wave propagation in geometricallyasymmetric media have been shown to exhibit nonreciprocity [4][5][6]. In addition, spatiotemporal modulation of the material properties [7][8][9][10][11][12][13][14] via the utilization of active elements [10,[15][16][17], including modulation of paired loss-gain media in non-Hermitian systems [18,19], enables nonreciprocal effects for linear waves.…”

Section: Introductionmentioning

confidence: 99%

Nonreciprocity and mode conversion in a spatiotemporally modulated elastic wave circulator

Goldsberry¹,

Wallen²

2021

Preprint

Self Cite

View full text Add to dashboard Cite

Acoustic and elastic metamaterials with time-and space-dependent material properties have received great attention recently as a means to break reciprocity for propagating mechanical waves, achieving greater directional control. One nonreciprocal device that has been demonstrated in the fields of acoustics and electromagnetism is the circulator, which achieves unirotational transmission through a network of ports. This work investigates an elastic wave circulator composed of a thin elastic ring with three semi-infinite elastic waveguides attached, creating a three-port network. Nonreciprocity is achieved for both longitudinal and transverse waves by modulating the elastic modulus of the ring in a rotating fashion. Two numerical models are derived and implemented to compute the elastic wave field in the circulator. The first is an approximate model based on coupled mode theory, which makes use of the known mode shapes of the unmodulated system. The second model is a finite element approach that includes a Fourier expansion in the harmonics of the modulation frequency and radiation boundary conditions at the ports. The coupled mode model shows excellent agreement with the finite element model and the conditions on the modulation parameters that enable a high degree of nonreciprocity are presented. This work demonstrates that it is possible to create an elastic wave circulator that enables nonreciprocal mode-splitting of an incident longitudinal wave into outgoing longitudinal and transverse waves.

show abstract

“…Furthermore, periodic arrangements of mechanical instabilities allow for tunable wave propagation. Geometric and material nonlinearity offer the ability to study small, linear acoustic propagation for large pre-stresses imposed on buckling structures [29][30][31]. Other metastable systems study the nonlinear propagation of solitary waves [12,32,33].…”

Section: Introductionmentioning

confidence: 99%

“…Other metastable systems study the nonlinear propagation of solitary waves [12,32,33]. While this offers the ability to create nonreciprocal lattices [31,34], phononic switches with tunable band gaps [29,30], and stable propagation through soft lattices [33], these phenomena all currently rely on periodicities of the structure. Of interest in the current work is instead the study of tunable wave phenomena in a heterogeneous medium containing randomly distributed inclusions.…”

Section: Introductionmentioning

confidence: 99%