Publications
1.
Wang, Pai; Zheng, Yue; Fernandes, Matheus C.; Sun, Yushen; Xu, Kai; Sun, Sijie; Kang, Sung Hoon; Tournat, Vincent; Bertoldi, Katia
Harnessing Geometric Frustration to Form Band Gaps in Acoustic Channel Lattices Journal Article
In: Physical Review Letters, vol. 118, pp. 084302, 2017.
@article{Wang2017,
title = {Harnessing Geometric Frustration to Form Band Gaps in Acoustic Channel Lattices},
author = {Pai Wang and Yue Zheng and Matheus C. Fernandes and Yushen Sun and Kai Xu and Sijie Sun and Sung Hoon Kang and Vincent Tournat and Katia Bertoldi},
url = {https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.118.084302},
doi = {10.1103/PhysRevLett.118.084302},
year = {2017},
date = {2017-02-21},
journal = {Physical Review Letters},
volume = {118},
pages = {084302},
abstract = {We demonstrate both numerically and experimentally that geometric frustration in two-dimensional periodic acoustic networks consisting of arrays of narrow air channels can be harnessed to form band gaps (ranges of frequency in which the waves cannot propagate in any direction through the system). While resonant standing wave modes and interferences are ubiquitous in all the analyzed network geometries, we show that they give rise to band gaps only in the geometrically frustrated ones (i.e., those comprising of triangles and pentagons). Our results not only reveal a new mechanism based on geometric frustration to suppress the propagation of pressure waves in specific frequency ranges but also open avenues for the design of a new generation of smart systems that control and manipulate sound and vibrations.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
We demonstrate both numerically and experimentally that geometric frustration in two-dimensional periodic acoustic networks consisting of arrays of narrow air channels can be harnessed to form band gaps (ranges of frequency in which the waves cannot propagate in any direction through the system). While resonant standing wave modes and interferences are ubiquitous in all the analyzed network geometries, we show that they give rise to band gaps only in the geometrically frustrated ones (i.e., those comprising of triangles and pentagons). Our results not only reveal a new mechanism based on geometric frustration to suppress the propagation of pressure waves in specific frequency ranges but also open avenues for the design of a new generation of smart systems that control and manipulate sound and vibrations.
2.
Wang, Pai; Casadei, Filippo; Kang, Sung Hoon; Bertoldi, Katia
Locally resonant band gaps in periodic beam lattices by tuning connectivity Journal Article
In: Physical Review B (Rapid Communications), vol. 91, pp. 020103, 2015.
@article{Wang2015,
title = {Locally resonant band gaps in periodic beam lattices by tuning connectivity},
author = {Pai Wang and Filippo Casadei and Sung Hoon Kang and Katia Bertoldi},
url = {http://journals.aps.org/prb/pdf/10.1103/PhysRevB.91.020103},
year = {2015},
date = {2015-01-26},
journal = {Physical Review B (Rapid Communications)},
volume = {91},
pages = {020103},
abstract = {Lattice structures have long fascinated physicists and engineers not only because of their outstanding functionalities, but also for their ability to control the propagation of elastic waves. While the study of the relation between the connectivity of these systems and their static properties has a long history that goes back to Maxwell, rules that connect the dynamic response to the network topology have not been established. Here, we demonstrate that by tuning the average connectivity of a beam network (z ̄), locally resonant band gaps can be generated in the structures without embedding additional resonating units. In particular, a critical threshold for z ̄ is identified, far from which the band gap size is purely dictated by the global lattice topology. By contrast, near this critical value, the detailed local geometry of the lattice also has strong effects. Moreover, in stark contrast to the static case, we find that the nature of the joints is irrelevant to the dynamic response of the lattices. Our results not only shed new light on the rich dynamic properties of periodic lattices, but also outline a new strategy to manipulate mechanical waves in elastic systems.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Lattice structures have long fascinated physicists and engineers not only because of their outstanding functionalities, but also for their ability to control the propagation of elastic waves. While the study of the relation between the connectivity of these systems and their static properties has a long history that goes back to Maxwell, rules that connect the dynamic response to the network topology have not been established. Here, we demonstrate that by tuning the average connectivity of a beam network (z ̄), locally resonant band gaps can be generated in the structures without embedding additional resonating units. In particular, a critical threshold for z ̄ is identified, far from which the band gap size is purely dictated by the global lattice topology. By contrast, near this critical value, the detailed local geometry of the lattice also has strong effects. Moreover, in stark contrast to the static case, we find that the nature of the joints is irrelevant to the dynamic response of the lattices. Our results not only shed new light on the rich dynamic properties of periodic lattices, but also outline a new strategy to manipulate mechanical waves in elastic systems.
Note: Send e-mail to Prof. Kang at [email protected] if you need a pdf file of the papers below.
2017
Wang, Pai; Zheng, Yue; Fernandes, Matheus C.; Sun, Yushen; Xu, Kai; Sun, Sijie; Kang, Sung Hoon; Tournat, Vincent; Bertoldi, Katia
Harnessing Geometric Frustration to Form Band Gaps in Acoustic Channel Lattices Journal Article
In: Physical Review Letters, vol. 118, pp. 084302, 2017.
Abstract | Links | BibTeX | Tags: Acoustic, architected materials, Band gap, Geometrical Frustration, Metamaterial
@article{Wang2017,
title = {Harnessing Geometric Frustration to Form Band Gaps in Acoustic Channel Lattices},
author = {Pai Wang and Yue Zheng and Matheus C. Fernandes and Yushen Sun and Kai Xu and Sijie Sun and Sung Hoon Kang and Vincent Tournat and Katia Bertoldi},
url = {https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.118.084302},
doi = {10.1103/PhysRevLett.118.084302},
year = {2017},
date = {2017-02-21},
journal = {Physical Review Letters},
volume = {118},
pages = {084302},
abstract = {We demonstrate both numerically and experimentally that geometric frustration in two-dimensional periodic acoustic networks consisting of arrays of narrow air channels can be harnessed to form band gaps (ranges of frequency in which the waves cannot propagate in any direction through the system). While resonant standing wave modes and interferences are ubiquitous in all the analyzed network geometries, we show that they give rise to band gaps only in the geometrically frustrated ones (i.e., those comprising of triangles and pentagons). Our results not only reveal a new mechanism based on geometric frustration to suppress the propagation of pressure waves in specific frequency ranges but also open avenues for the design of a new generation of smart systems that control and manipulate sound and vibrations.},
keywords = {Acoustic, architected materials, Band gap, Geometrical Frustration, Metamaterial},
pubstate = {published},
tppubtype = {article}
}
We demonstrate both numerically and experimentally that geometric frustration in two-dimensional periodic acoustic networks consisting of arrays of narrow air channels can be harnessed to form band gaps (ranges of frequency in which the waves cannot propagate in any direction through the system). While resonant standing wave modes and interferences are ubiquitous in all the analyzed network geometries, we show that they give rise to band gaps only in the geometrically frustrated ones (i.e., those comprising of triangles and pentagons). Our results not only reveal a new mechanism based on geometric frustration to suppress the propagation of pressure waves in specific frequency ranges but also open avenues for the design of a new generation of smart systems that control and manipulate sound and vibrations.
2015
Wang, Pai; Casadei, Filippo; Kang, Sung Hoon; Bertoldi, Katia
Locally resonant band gaps in periodic beam lattices by tuning connectivity Journal Article
In: Physical Review B (Rapid Communications), vol. 91, pp. 020103, 2015.
Abstract | Links | BibTeX | Tags: architected materials, Band gap, Beam, Connectivity, Lattice, Local resonance, Periodic
@article{Wang2015,
title = {Locally resonant band gaps in periodic beam lattices by tuning connectivity},
author = {Pai Wang and Filippo Casadei and Sung Hoon Kang and Katia Bertoldi},
url = {http://journals.aps.org/prb/pdf/10.1103/PhysRevB.91.020103},
year = {2015},
date = {2015-01-26},
journal = {Physical Review B (Rapid Communications)},
volume = {91},
pages = {020103},
abstract = {Lattice structures have long fascinated physicists and engineers not only because of their outstanding functionalities, but also for their ability to control the propagation of elastic waves. While the study of the relation between the connectivity of these systems and their static properties has a long history that goes back to Maxwell, rules that connect the dynamic response to the network topology have not been established. Here, we demonstrate that by tuning the average connectivity of a beam network (z ̄), locally resonant band gaps can be generated in the structures without embedding additional resonating units. In particular, a critical threshold for z ̄ is identified, far from which the band gap size is purely dictated by the global lattice topology. By contrast, near this critical value, the detailed local geometry of the lattice also has strong effects. Moreover, in stark contrast to the static case, we find that the nature of the joints is irrelevant to the dynamic response of the lattices. Our results not only shed new light on the rich dynamic properties of periodic lattices, but also outline a new strategy to manipulate mechanical waves in elastic systems.},
keywords = {architected materials, Band gap, Beam, Connectivity, Lattice, Local resonance, Periodic},
pubstate = {published},
tppubtype = {article}
}
Lattice structures have long fascinated physicists and engineers not only because of their outstanding functionalities, but also for their ability to control the propagation of elastic waves. While the study of the relation between the connectivity of these systems and their static properties has a long history that goes back to Maxwell, rules that connect the dynamic response to the network topology have not been established. Here, we demonstrate that by tuning the average connectivity of a beam network (z ̄), locally resonant band gaps can be generated in the structures without embedding additional resonating units. In particular, a critical threshold for z ̄ is identified, far from which the band gap size is purely dictated by the global lattice topology. By contrast, near this critical value, the detailed local geometry of the lattice also has strong effects. Moreover, in stark contrast to the static case, we find that the nature of the joints is irrelevant to the dynamic response of the lattices. Our results not only shed new light on the rich dynamic properties of periodic lattices, but also outline a new strategy to manipulate mechanical waves in elastic systems.