| 吴荣兴,于兰珍,李晓东,邱耀.基于层状模型的功能梯度板中兰姆波传播研究[J].,2016,35(3):199-205 |
| 基于层状模型的功能梯度板中兰姆波传播研究 |
| Propagation of Lamb wave in a functionally graded plate with a layered model |
| 投稿时间：2015-07-16 修订日期：2016-04-27 |
| 中文摘要: |
| 采用层状模型研究了兰姆波在材料特性沿厚度方向连续变化的功能梯度板中的传播特性。通过数值计算获得了层状板中兰姆波的色散关系,并与已有结果进行了比较。接着获得了材料属性沿厚度方向呈指数变化和多项式变化时功能梯度板中兰姆波的波速和位移解。研究结果表明当材料属性连续变化时,兰姆波各阶模态的波速与位移都将发生改变。相比于兰姆波的高阶模态,低阶模态的波速变化更加明显。在实际工程中,波速和位移的改变有着非常重要的应用价值。 |
| 英文摘要: |
| The Lamb wave propagation in a functionally graded plate with material property continuously varying along the thickness direction has been analyzed by a layered model. The dispersion relationship of Lamb wave of layered plate has been obtained by using the numerical calculation and compared with the known results. The wave velocity and displacements of Lamb wave also have been obtained with exponential and polynomial property grading schemes. The research results showed that with continuous the variation of material property, the wave velocity and displacements of Lamb wave changed. Compared with the high order mode of Lamb wave, the change of wave velocity of the low order is more significant. The change of wave velocity and displacements has important value in the practical engineering applications. |
| DOI：10.11684/j.issn.1000-310X.2016.03.003 |
| 中文关键词: 兰姆波, 功能梯度材料, 波速, 位移, 层状结构 |
| 英文关键词: Lamb wave, functionally graded material, wave velocity, displacement, layered structure |
| 基金项目:国家自然科学基金项目 (10932004), 浙江省教育厅 2015 高校访问工程师校企合作项目 (考虑复杂因素的石英晶体谐振高频振动研究),宁波职业技术学院青年博士创新项目和科研项目 (2013001, NZ14001) |
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