We design a one-dimensional locally resonant phononic crystal (LRPC) comprised of a substrate beam periodically attached with twin resonators. By alternating the position of the resonators, the bandgap forming mechanisms of the LRPC, namely, the band folding-induced bandgaps (BFBGs) and the locally resonant bandgap (LRBG), are analyzed. A broadband “pseudo-bandgap” formed by the LRBG and BFBG can be achieved. The topological properties of the LRPC are then studied, and it is found that the topological interface states can occur only in the BFBGs but not in the LRBG. By constructing a finite LRPC formed by two PCs with distinct topological properties connecting with each other, we numerically and experimentally demonstrate the existence of multiple topological interface states in the BFBGs. The interface state within the subwavelength regime can be achieved with strong energy localization and is little affected by material damping, while for the interface state at high frequencies, it is shown that damping could considerably weaken the energy localization. This work provides guidelines for the design of low-frequency elastic topological systems.
Skip Nav Destination
Article navigation
14 May 2021
Research Article|
May 11 2021
Multiple topological interface states in broadband locally resonant phononic crystals
Special Collection:
Acoustic Metamaterials 2021
Zhoufu Zheng
;
Zhoufu Zheng
1
Laboratory of Science and Technology on Integrated Logistics Support, National University of Defense Technology
, Changsha 410073, China
2
College of Intelligence Science and Technology, National University of Defense Technology
, Changsha 410073, China
Search for other works by this author on:
Jianfei Yin
;
Jianfei Yin
a)
1
Laboratory of Science and Technology on Integrated Logistics Support, National University of Defense Technology
, Changsha 410073, China
2
College of Intelligence Science and Technology, National University of Defense Technology
, Changsha 410073, China
a)Author to whom correspondence should be addressed: nmhsyjf@nudt.edu.cn
Search for other works by this author on:
Jihong Wen
;
Jihong Wen
1
Laboratory of Science and Technology on Integrated Logistics Support, National University of Defense Technology
, Changsha 410073, China
2
College of Intelligence Science and Technology, National University of Defense Technology
, Changsha 410073, China
Search for other works by this author on:
Dianlong Yu
Dianlong Yu
1
Laboratory of Science and Technology on Integrated Logistics Support, National University of Defense Technology
, Changsha 410073, China
2
College of Intelligence Science and Technology, National University of Defense Technology
, Changsha 410073, China
Search for other works by this author on:
a)Author to whom correspondence should be addressed: nmhsyjf@nudt.edu.cn
Note: This paper is part of the Special Topic on Acoustic Metamaterials 2021.
J. Appl. Phys. 129, 184901 (2021)
Article history
Received:
January 08 2021
Accepted:
April 14 2021
Citation
Zhoufu Zheng, Jianfei Yin, Jihong Wen, Dianlong Yu; Multiple topological interface states in broadband locally resonant phononic crystals. J. Appl. Phys. 14 May 2021; 129 (18): 184901. https://doi.org/10.1063/5.0043473
Download citation file:
Sign in
Don't already have an account? Register
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
Sign in via your Institution
Sign in via your InstitutionPay-Per-View Access
$40.00