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Size effects on the band gap of flexural wave propagation in one-dimensional periodic micro-beams

机译：一维周期性微束中弯曲波传播带隙的尺寸效应

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摘要

The mechanical properties of micro-scale materials are different from their macroscopic counterparts. This study investigates the impact of the size effect on the band structure of a one-dimensional periodic microstructure. The equation of motion for the Euler-Bernoulli beam model considering the size effect is derived based on the modified coupled stress theory, and the transfer matrix method is employed to obtain the band structure considering the size effect. The results obtained with the modified couple stress theory are compared with those obtained using the classical theory. The size effect increases the flexural stiffness of the micro-beams, causing the band gap to move to a higher frequency. In addition, the effects of the material distribution and geometric period on the band gap are also investigated. It is found that the size effect, which has a significant effect on the band structure of the microstructure, cannot be neglected.
机译：微级材料的机械性能与其宏观对应物不同。 本研究研究了尺寸影响对一维周期性微观结构的带结构的影响。 考虑尺寸效果的欧拉-Bernoulli光束模型的运动方程是基于改进的耦合应力理论导出的，并且采用传输矩阵方法来获得考虑尺寸效应的频带结构。 将通过修改的耦合应力理论获得的结果与使用经典理论获得的结果进行比较。 尺寸效应增加了微束的弯曲刚度，导致带隙移动到更高频率。 另外，还研究了材料分布和几何时段对带隙的影响。 发现尺寸效应，其对微结构的带状结构具有显着影响，不能被忽略。

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  • 来源
    《Composite Structures》 |2021年第9期|114162.1-114162.8|共8页
  • 作者

    Zhao Pengcheng; Zhang Kai; Deng Zichen;

  • 作者单位

    Northwestern Polytech Univ Sch Mech Civil Engn & Architecture Xian 710072 Peoples R China|Northwestern Polytech Univ MIIT Key Lab Dynam & Control Complex Syst Xian 710072 Peoples R China;

    Northwestern Polytech Univ Sch Mech Civil Engn & Architecture Xian 710072 Peoples R China|Northwestern Polytech Univ MIIT Key Lab Dynam & Control Complex Syst Xian 710072 Peoples R China;

    Northwestern Polytech Univ Sch Mech Civil Engn & Architecture Xian 710072 Peoples R China|Northwestern Polytech Univ MIIT Key Lab Dynam & Control Complex Syst Xian 710072 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; Wave propagation; Modified couple stress theory; Transfer matrix method; Size effect;

    机译：带隙;波传播;修改耦合应力理论;转移矩阵法;尺寸效应;

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