薄板弯曲波的全方位宽带隔离装置
Omnidirectional broadband insulating device for flexural waves in thin plates
摘要：
本文提出了一种梯度折射率装置，用于薄板的圆形区域的振动隔离。折射率的梯度是通过局部改变板的厚度来实现的，以这种方式利用薄板中弯曲波的色散关系的厚度依赖性。板的环形区域中的井状厚度轮廓用于模拟吸引和排斥势的组合，将波聚焦在其底部并通过放置在板顶部的适当设计的吸收层来消散它们。因此，中心区域与振动隔离，而振动在井的底部消散。利用多层多次散射方法进行了模拟，结果证明了它们的宽带效率和全向特性。
英文摘要：
This work presents a gradient index device for insulating from vibrations a circular area of a thin plate. The gradient of the refractive index is achieved by locally changing the thickness of the plate, exploiting in this way the thickness-dependence of the dispersion relation of flexural waves in thin plates. A well-like thickness profile in an annular region of the plate is used to mimic the combination of an attractive and repulsive potentials, focusing waves at its bottom and dissipating them by means of a properly designed absorptive layer placed on top of the plate. The central area is therefore isolated from vibrations while they are dissipated at the bottom of the well. Simulations have been done using the multilayer multiple scattering method and the results prove their broadband efficiency and omnidirectional properties.
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