Bandgaps of Two-Dimensional Phononic Crystals With Sliding Interface Conditions

In the present paper, the Dirichlet-to-Neumann map method is employed to compute the band structures of two-dimensional phononic crystals with smoothly sliding connection conditions between the matrix and the scatterers, which are composed of square or triangular lattices of circular solid cylinders in a solid matrix. The solid/solid systems of various material parameters with sliding interface conditions are considered. The influence of sliding interface conditions on the band structures is analyzed and discussed. The results show that the smoothly sliding interface condition has significant effect on the band structure.

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Study on band gap properties of two-dimensional phononic crystals based on generalized viscoelastic modeling

Modern Physics Letters B ◽

10.1142/s0217984919504037 ◽

2019 ◽

Vol 33 (32) ◽

pp. 1950403

Author(s):

Fengxiang Guo ◽

Hui Guo ◽

Pei Sun ◽

Tao Yuan ◽

Yansong Wang

Keyword(s):

Plane Waves ◽

Single Mode ◽

Expansion Method ◽

Maxwell Model ◽

Phononic Crystals ◽

Band Gaps ◽

Two Dimensional ◽

Band Structures ◽

Material Parameters ◽

Multi Mode

Viscoelastic materials can dissipate energy and hinder propagation for plane waves, which can adjust the band structures of phononic crystals (PCs). In this study, the wave propagation in a two-dimensional PC with a viscoelastic matrix is investigated. The Maxwell model is utilized to analyze the effect of material parameters on the frequency dependence of viscoelasticity. Material parameters include the relaxation time, the initial value and the final value of the shear modulus. Band structures of viscoelastic phononic crystals (VPCs) are solved by combining the plane wave expansion method and iterative algorithm based on Bloch theory. The effects of the viscoelasticity on the band structures are studied using the single-mode and multi-mode Maxwell models. Results reveal that the viscoelasticity of the materials not only extends the band gaps but also shifts the band gaps to lower frequencies. Furthermore, the viscoelasticity simulated by the multi-mode model can precisely adjust anyone of the band gaps of VPCs separately. Results provide insights into the design and applications of VPCs.

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Low frequency phononic band structures in two-dimensional arc-shaped phononic crystals

Physics Letters A ◽

10.1016/j.physleta.2012.05.037 ◽

2012 ◽

Vol 376 (33) ◽

pp. 2256-2263 ◽

Cited By ~ 26

Author(s):

Zhenlong Xu ◽

Fugen Wu ◽

Zhongning Guo

Keyword(s):

Low Frequency ◽

Phononic Crystals ◽

Two Dimensional ◽

Band Structures

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Tunable Band Gaps of Acoustic Waves in Two-Dimensional Phononic Crystals With Reticular Band Structures

Volume 15: Sound, Vibration and Design ◽

10.1115/imece2009-13102 ◽

2009 ◽

Cited By ~ 1

Author(s):

Zi-Gui Huang ◽

Yunn-Lin Hwang ◽

Pei-Yu Wang ◽

Yen-Chieh Mao

Keyword(s):

Acoustic Waves ◽

Composite Structures ◽

Phononic Crystals ◽

Band Gaps ◽

Sound Insulation ◽

Two Dimensional ◽

The Finite Element Method ◽

Elastic Band ◽

Band Structures ◽

Elastic Band Gaps

The excellent applications and researches of so-called photonic crystals raise the exciting researches of phononic crystals. By the analogy between photon and phonon, repetitive composite structures that are made up of different elastic materials can also prevent elastic waves of some certain frequencies from passing by, i.e., the frequency band gap features also exist in acoustic waves. In this paper, we present the results of the tunable band gaps of acoustic waves in two-dimensional phononic crystals with reticular band structures using the finite element method. Band gaps variations of the bulk modes due to different thickness and angles of reticular band structures are calculated and discussed. The results show that the total elastic band gaps for mixed polarization modes can be enlarged or reduced by adjusting the orientation of the reticular band structures. The phenomena of band gaps of elastic or acoustic waves can potentially be utilized for vibration-free, high-precision mechanical systems, and sound insulation.

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