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基于声子晶体理论的弹性地基梁的振动特性研究

陈启勇 胡少伟 张子明

陈启勇, 胡少伟, 张子明. 基于声子晶体理论的弹性地基梁的振动特性研究[J]. 应用数学和力学, 2014, 35(1): 29-38. doi: 10.3879/j.issn.1000-0887.2014.01.004
引用本文: 陈启勇, 胡少伟, 张子明. 基于声子晶体理论的弹性地基梁的振动特性研究[J]. 应用数学和力学, 2014, 35(1): 29-38. doi: 10.3879/j.issn.1000-0887.2014.01.004
CHEN Qi-yong, HU Shao-wei, ZHANG Zi-ming. Research on the Vibration Property of the Beam on Elastic Foundation Based on the PCs Theory[J]. Applied Mathematics and Mechanics, 2014, 35(1): 29-38. doi: 10.3879/j.issn.1000-0887.2014.01.004
Citation: CHEN Qi-yong, HU Shao-wei, ZHANG Zi-ming. Research on the Vibration Property of the Beam on Elastic Foundation Based on the PCs Theory[J]. Applied Mathematics and Mechanics, 2014, 35(1): 29-38. doi: 10.3879/j.issn.1000-0887.2014.01.004

基于声子晶体理论的弹性地基梁的振动特性研究

doi: 10.3879/j.issn.1000-0887.2014.01.004
详细信息
    作者简介:

    陈启勇(1986—),男,南京人,博士生(E-mail: chenqiyong@outlook.com);

  • 中图分类号: O422.6

Research on the Vibration Property of the Beam on Elastic Foundation Based on the PCs Theory

  • 摘要: 荷载影响结构的振动特性,引起抗振性能的变化.借助声子晶体理论,研究弹性地基梁的带隙特性,建立了轴向力作用时Winkler地基上声子晶体Euler梁弯曲振动模型,采用改进的传递矩阵法,计算出梁的能带结构,判断出能带结构的变化趋势.研究表明,轴力改变能带结构,带隙范围发生变化.拉力提升带隙,但地基带隙保持不变;压力降低带隙频率,地基带隙随着压力的增加而减小.同时,进行Euler模型的数值模拟,仿真的结果与理论值基本吻合.通过轴力可以调节带隙的频率范围,达到抗振、减振的效果.
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出版历程
  • 收稿日期:  2013-08-26
  • 修回日期:  2013-09-03
  • 刊出日期:  2014-01-15

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