Volume 2, Issue 4
Symplectic Analysis for the Wave Propagation Properties of Conventional and Auxetic Cellular Struct

XIUHUI HOU, ZICHEN DENG, AND JIAXI ZHOU

Int. J. Numer. Anal. Mod. B, 2 (2011), pp. 298-314

Published online: 2011-02

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  • Abstract
Based on the structure-preserving characteristics of the symplectic algorithm, the wave propagation problem of auxetic cellular structures is analyzed and compared with conventional cellular materials. The dispersion relations along the first Brillouin zone boundary and the contour plots of phase constant surfaces are obtained using the finite element method. Numerical results reveal the superiority of auxetic re-entrant honeycombs in sound reduction applications compared with conventional hexagon lattices. Band structures of the chiral honeycomb are developed to illustrate the unique feature of the symplectic algorithm at higher frequencies calculation. The highly-directional wave propagation properties of auxetic cellular structures are also analyzed, which will provide invaluable guidelines for the future application of auxetic cellular structures in sound insulation.
  • AMS Subject Headings

70G45 74J05

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COPYRIGHT: © Global Science Press

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@Article{IJNAMB-2-298, author = {XIUHUI HOU, ZICHEN DENG, AND JIAXI ZHOU}, title = { Symplectic Analysis for the Wave Propagation Properties of Conventional and Auxetic Cellular Struct}, journal = {International Journal of Numerical Analysis Modeling Series B}, year = {2011}, volume = {2}, number = {4}, pages = {298--314}, abstract = {Based on the structure-preserving characteristics of the symplectic algorithm, the wave propagation problem of auxetic cellular structures is analyzed and compared with conventional cellular materials. The dispersion relations along the first Brillouin zone boundary and the contour plots of phase constant surfaces are obtained using the finite element method. Numerical results reveal the superiority of auxetic re-entrant honeycombs in sound reduction applications compared with conventional hexagon lattices. Band structures of the chiral honeycomb are developed to illustrate the unique feature of the symplectic algorithm at higher frequencies calculation. The highly-directional wave propagation properties of auxetic cellular structures are also analyzed, which will provide invaluable guidelines for the future application of auxetic cellular structures in sound insulation.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnamb/314.html} }
TY - JOUR T1 - Symplectic Analysis for the Wave Propagation Properties of Conventional and Auxetic Cellular Struct AU - XIUHUI HOU, ZICHEN DENG, AND JIAXI ZHOU JO - International Journal of Numerical Analysis Modeling Series B VL - 4 SP - 298 EP - 314 PY - 2011 DA - 2011/02 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnamb/314.html KW - Symplectic algorithm KW - Auxetic cellular structures KW - Wave propagation KW - and Chiral honeycombs AB - Based on the structure-preserving characteristics of the symplectic algorithm, the wave propagation problem of auxetic cellular structures is analyzed and compared with conventional cellular materials. The dispersion relations along the first Brillouin zone boundary and the contour plots of phase constant surfaces are obtained using the finite element method. Numerical results reveal the superiority of auxetic re-entrant honeycombs in sound reduction applications compared with conventional hexagon lattices. Band structures of the chiral honeycomb are developed to illustrate the unique feature of the symplectic algorithm at higher frequencies calculation. The highly-directional wave propagation properties of auxetic cellular structures are also analyzed, which will provide invaluable guidelines for the future application of auxetic cellular structures in sound insulation.
XIUHUI HOU, ZICHEN DENG, AND JIAXI ZHOU. (1970). Symplectic Analysis for the Wave Propagation Properties of Conventional and Auxetic Cellular Struct. International Journal of Numerical Analysis Modeling Series B. 2 (4). 298-314. doi:
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