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Vibration characteristics of a sandwich plate with viscoelastic periodic cores

机译：粘弹性周期芯夹心板的振动特性

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摘要

The vibration characteristics of a sandwich plate with viscoelastic periodic cores are examined analytically and experimentally, which extends the previous research of corresponding periodic sandwich beam structure. Closed-form solutions for forced response and band structure of periodic sandwich plate are theoretically derived, providing computational support on the attenuation analysis. In the theoretical model, a new admissible displacement function for sandwich plate is proposed. Although it is used in free boundary condition in this paper, it is also suitable for clamped, simply supported, slipping, and elastic boundary conditions. The formation of the band gap is carefully studied, showing that the overall band gap is proved to be the intersection of all the cross-stream modal band gaps, which is quite different from a corresponding periodic beam structure. The parametric analysis shows further that the overall band gap could disappear when length ratio, element width, or core thickness exceeds a cut-off value, which provides a guidance in the band-gap design. The attenuation in a sandwich plate with viscoelastic periodic cores is mainly dominated by Bragg scattering mechanism in the band gap and by energy dissipation out of the band gap. Owing to the combined effect of both mechanisms, the sandwich plate with viscoelastic periodic cores provides better attenuation performance than that with a uniform viscoelastic core. This research could possibly provide useful guidance for the researches and engineers on the design of plate-type damping structures.
机译：对粘弹性周期芯夹心板的振动特性进行了分析和实验研究，为相应的周期夹心梁结构的研究作了扩展。从理论上推导了周期夹层板强迫响应和能带结构的闭式解，为衰减分析提供了计算支持。在理论模型中，提出了一种新的夹层板容许位移函数。尽管它在自由边界条件下使用，但它也适用于夹紧，简单支撑，滑移和弹性边界条件。仔细研究了带隙的形成，表明总带隙被证明是所有横流模态带隙的交集，这与相应的周期性波束结构完全不同。参数分析进一步表明，当长径比，元件宽度或铁芯厚度超过临界值时，总的带隙可能会消失，这为带隙设计提供了指导。具有粘弹性周期芯的夹心板的衰减主要由带隙中的布拉格散射机制和带隙外的能量耗散决定。由于两种机制的共同作用，具有粘弹性周期芯的夹层板比具有均匀粘弹性芯的夹层板具有更好的衰减性能。该研究可能为板式阻尼结构设计的研究和工程师提供有益的指导。

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  • 来源
    《Composite Structures》 |2018年第12期|54-69|共16页
  • 作者

    Sheng Meiping; Guo Zhiwei; Qin Qi; He Yuanan;

  • 作者单位

    Northwestern Polytech Univ, Sch Marine Sci & Technol, 127 Youyixilu, Xian 710072, Shaanxi, Peoples R China;

    Northwestern Polytech Univ, Sch Marine Sci & Technol, 127 Youyixilu, Xian 710072, Shaanxi, Peoples R China;

    Northwestern Polytech Univ, Sch Marine Sci & Technol, 127 Youyixilu, Xian 710072, Shaanxi, Peoples R China;

    Northwestern Polytech Univ, Sch Marine Sci & Technol, 127 Youyixilu, Xian 710072, Shaanxi, Peoples R China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Band gap; Viscoelastic periodic cores; Sandwich plate; Vibration control;

    机译：带隙;粘弹性周期芯;夹层板;振动控制;

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