Low-frequency bandgaps of two-dimensional phononic crystal plate composed of asymmetric double-sided cylinder stubs

Song, Ailing; Wang, Xiaopeng; Chen, Tianning; Jiang, Ping; Bao, Kai
March 2016
International Journal of Modern Physics B: Condensed Matter Phys;Mar2016, Vol. 30 Issue 7, p-1
Academic Journal
In this paper, we theoretically investigate the propagation characteristics of Lamb wave in a two-dimensional (2D) asymmetric phononic crystal (PC) plate composed of cylinder stubs of different radius deposited on both sides of a thin homogeneous plate. The dispersion relations, transmission spectra and displacement fields of the eigenmodes are calculated by using the finite element method (FEM). Two complete bandgaps (BGs) can be found in low-frequency range and the transmission spectra coincide with the band structures. We investigate the evolution of dispersion relations with the decrease of the upper stub radius. The physical mechanism of the upper stub radius effect is also studied with the displacement fields of the unit cell. Numerical results show that the symmetry of the stub radius can remarkably influence the band structures and the asymmetric double-sided plate exhibits a new bandgap (BG) in lower frequency range due to the coupling between the lower stub's resonant mode and the plate's Lamb mode becomes weak and the adjacent bands separate. Moreover, we further investigate the effect of the stub height on the dispersion relations and find that the BGs shift to lower frequency regions with the increase of the stub height. In addition, the BGs' sensitivity to the upper stub radius and the stub height is discussed. The low-frequency BGs in the proposed PC plate can potentially be used to control and insulate vibration in low frequency range.


Related Articles

  • Lamb waves in two-dimensional phononic crystal slabs with neck structures. Yu, Kunpeng; Chen, Tianning; Wang, Xiaopeng; Li, Yinggang // Journal of Applied Physics;Jun2013, Vol. 113 Issue 21, p214908 

    In this paper, a new structure of two-dimensional phononic crystals consisting of one or more rows of parallel rectangular rods placed periodically in a homogenous slab, in which the rods are not connected directly but linked through neck structures with the slab, is proposed, and the Lamb wave...

  • Propagation of acoustic waves and waveguiding in a two-dimensional locally resonant phononic crystal plate. Oudich, Mourad; Assouar, M. Badreddine; Hou, Zhilin // Applied Physics Letters;11/8/2010, Vol. 97 Issue 19, p193503 

    We demonstrate the waveguiding of Lamb waves in a locally resonant phononic crystal (LRPC) and we present an analysis of the guiding of elastic waves in straight and bent waveguides. The finite element method combined with the supercell technique was used to analyze the band gap and the...

  • Torsional wave band gap properties in a circular plate of a two-dimensional generalized phononic crystal. Zhao, Lei; Shu, Haisheng; Liang, Shanjun; Shi, Xiaona; An, Shuowei; Ren, Wanyue; Zhu, Jie // AIP Advances;May2018, Vol. 8 Issue 5, pN.PAG 

    The torsional wave band gap properties of a two-dimensional generalized phononic crystal (GPC) are investigated in this paper. The GPC structure considered is consisted of two different materials being arranged with radial and circumferential periodicities simultaneously. Based on the viewpoint...

  • Search of Phononic Crystal Band-Gap about the Array of 2D square tube with slits. Longgen Li; Yonggang Chen // Applied Mechanics & Materials;2014, Issue 536-537, p1481 

    A band structure composed of a square array of parallel steel tube with narrow slits is presented.The propagation characteristic of acoustic waves in this structure is investigated theoretically by the finite element method. In particular the acoustic-solid coupling is taken into account for...

  • 1577. Vibrational properties of the phononic crystal structural cavity. Yuyang He; Xiaoxiong Jin // Journal of Vibroengineering;May2015, Vol. 17 Issue 3, p1079 

    This paper discusses the construction of a model of phononic crystals and the calculation of the band gap by the finite element method. The physical parameters on the band structure are studied in order to find the proper material suitable for a low frequency vibration. We investigate modal...

  • Study on the vibration reduction of phononic crystal structural plate. Yuyang He; Xiaoxiong Jin // Applied Mechanics & Materials;2014, Issue 543-547, p3900 

    Plane wave expansion (PWE) method and finite element method (FEM) are applied to analyze the vibration reduction characteristic of the phononic crystal structural plate, and the results of two methods are consistent. The range of band gap is acquired, which certain frequent elastic wave...

  • Lamb wave band gaps in one-dimensional radial phononic crystal slabs. Li, Yinggang; Chen, Tianning; Wang, Xiaopeng // International Journal of Modern Physics B: Condensed Matter Phys;Jan2015, Vol. 29 Issue 3, p-1 

    In this paper, we theoretically investigate the band structures of Lamb wave in one-dimensional radial phononic crystal (PC) slabs composed of a series of alternating strips of epoxy and aluminum. The dispersion relations, the power transmission spectra and the displacement fields of the...

  • Large band gaps in two-dimensional phononic crystals with self-similarity structure. Gao, Nansha; Wu, Jiu Hui; Yu, Lie // International Journal of Modern Physics B: Condensed Matter Phys;Feb2015, Vol. 29 Issue 4, p-1 

    In this paper, we study the band gaps (BGs) of two-dimensional (2D) phononic crystals (PCs) composed of self-similarity shape inclusions embedded in the homogenous matrix. The dispersion relations, transmission spectra, and displacement fields of eigenmodes of the proposed structures are...

  • Low-frequency and tuning characteristic of band gap in a symmetrical double-sided locally resonant phononic crystal plate with slit structure. Wang, X. P.; Jiang, P.; Song, A. L. // International Journal of Modern Physics B: Condensed Matter Phys;Oct2016, Vol. 30 Issue 27, p1 

    In this paper, the low-frequency and tuning characteristic of band gap in a two-dimensional phononic crystal structure, consisting of a square array of aluminum cylindrical stubs deposited on both sides of a thin rubber plate with slit structure, are investigated. Using the finite element...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics