Reflection from elastic wedges of different thickness pro- files

Reflection from elastic wedges of different thickness pro- files
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不同厚度轮廓的弹性楔块的反射

DOI:
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发表时间:
2018
期刊:
影响因子:
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通讯作者:
J. Cheer
J. Cheer
中科院分区:
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文献类型:
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作者:
A. Karlos;S. Elliott;J. Cheer

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厚度随轴向位置按幂律变化的弹性楔可以作为入射弯曲波的吸收体,从而作为消声终端。理想情况下,如果楔形体逐渐变薄至零厚度,则入射波在边缘处的传播速度减慢至零,因此永远不会到达边界,因此不会发生反射。然而,在实践中,由于制造限制,总是发生楔形的小截断,导致边缘处的非零厚度,使得确实发生一些反射。在本文中,替代的厚度轮廓,如幂余弦,指数和高斯轮廓,后两个不可避免地有一个有限长度内的截断检查。采用基于WKB近似的方法计算了由楔形体和均匀平板组成的结构的反射系数。还应用了高阶WKB近似。结果进行了比较,从有限元分析。
An elastic wedge whose thickness varies with axial position according to a power law can act as an absorber of incident flexural waves and thus as an anechoic termination. Ideally, if the wedge is tapered down to zero thickness, the incident wave slows down to zero propagation velocity at the edge, thus never reaching the boundary, and, so, not undergoing reflection. In practice, however, a small truncation of the wedge always occurs, due to manufacturing restrictions, leading to non-zero thickness at the edge, so that some reflection does occur. In this paper, alternative thickness profiles are examined, such as the power-cosine, the exponential and the Gaussian profile, the latter two inevitably having a truncation within a finite length. A method based on the WKB approximation is used in order to calculate the reflection coefficient of a structure comprising a wedge connected to a uniform plate. Higher-order WKB approximations are also applied. Results are compared with those from a Finite Element analysis.
DOI: 10.1016/j.jsv.2010.12.001
发表时间: 2011-05-23
影响因子: 4.7
作者:
Georgiev, V. B.;Cuenca, J.;Krylov, V. V.
通讯作者: Krylov, V. V.
DOI: 10.1016/j.jsv.2010.05.019
发表时间: 2010-10
影响因子: 4.7
作者:
D. O'Boy;V. Krylov;V. Královič
通讯作者: D. O'Boy;V. Krylov;V. Královič