Flexural Wave Band Gaps in Phononic Crystal Euler-Bernoulli Beams Using Wave Finite Element and Plane Wave Expansion Methods
Flexural Wave Band Gaps in Phononic Crystal Euler-Bernoulli Beams Using Wave Finite Element and Plane Wave Expansion Methods
复制标题
DOI：
10.1590/1980-5373-mr-2016-0877
复制
发表时间：
2018-01
影响因子：
1.7
通讯作者：
E. Miranda;José Maria Campos dos Santos
中科院分区：
文献类型：
--
作者：
E. Miranda;José Maria Campos dos Santos
从理论和实验上研究了由钢和聚乙烯组成的一维声子晶体Euler-Bernoulli梁中弯曲波的强迫响应及其能带结构。采用了有限元、谱单元、波浪有限元、波谱单元、常规和改进的平面波展开法。我们证明，选择正确的聚乙烯和钢材用量可以改善单元格的减振效果，并建议在考虑不同单元格长度的情况下，这些材料的最佳比例。用一维PC光束进行了实验，数值计算结果与实验结果接近，能较好地定位带隙位置和宽度。在405赫兹和720赫兹之间观察到一个小的布拉格型带隙，衰减较低。以钢和聚乙烯为单元的一维PC梁在振动控制方面具有潜在的应用前景。
We investigate theoretically and experimentally the forced response of flexural waves propagating in a 1D phononic crystal (PC) Euler-Bernoulli beam, composed by steel and polyethylene, and its band structure. The finite element, spectral element, wave finite element, wave spectral element, conventional and improved plane wave expansion methods are applied. We demonstrate that the vibration attenuation of the unit cell can be improved choosing correctly the polyethylene and steel quantities and we suggest the best percentages of these materials, considering different unit cell lengths. An experiment with a 1D PC beam is proposed and the numerical results can localize the band gap position and width close to the experimental results. A small Bragg-type band gap with low attenuation is observed between 405 Hz 720 Hz. The 1D PC beam with unit cells of steel and polyethylene presents potential application for vibration control.