Diffraction of a Plane Elastic Wave by a Gradient Transversely Isotropic Layer

Q2 Physics and Astronomy

Advances in Acoustics and Vibration Pub Date : 2013-10-26 DOI:10.1155/2013/262067

A. Anufrieva, D. Tumakov

引用次数: 15

Abstract

The problem of diffraction of a plane elastic wave by a gradient transversely isotropic layer is considered. Using the method of overdetermined boundary value problem in combination with the Fourier transform method, the system of ordinary differential equations of the second order with boundary conditions of the third type is obtained which is solved by the grid method. Results of calculations obtained using the above-mentioned technique for the case of piecewise linear profiles for the Young modulus of the layer are given.

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横向各向同性梯度层对平面弹性波的衍射

研究了平面弹性波在梯度横各向同性层中的衍射问题。利用过定边值问题的方法与傅里叶变换方法相结合，得到了具有第三类边界条件的二阶常微分方程组，该方程组用网格法求解。文中给出了分段线性剖面情况下的杨氏模量的计算结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Advances in Acoustics and Vibration ACOUSTICS-

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期刊介绍： The aim of Advances in Acoustics and Vibration is to act as a platform for dissemination of innovative and original research and development work in the area of acoustics and vibration. The target audience of the journal comprises both researchers and practitioners. Articles with innovative works of theoretical and/or experimental nature with research and/or application focus can be considered for publication in the journal. Articles submitted for publication in Advances in Acoustics and Vibration must neither have been published previously nor be under consideration elsewhere. Subject areas include (but are not limited to): Active, semi-active, passive and combined active-passive noise and vibration control Acoustic signal processing Aero-acoustics and aviation noise Architectural acoustics Audio acoustics, mechanisms of human hearing, musical acoustics Community and environmental acoustics and vibration Computational acoustics, numerical techniques Condition monitoring, health diagnostics, vibration testing, non-destructive testing Human response to sound and vibration, Occupational noise exposure and control Industrial, machinery, transportation noise and vibration Low, mid, and high frequency noise and vibration Materials for noise and vibration control Measurement and actuation techniques, sensors, actuators Modal analysis, statistical energy analysis, wavelet analysis, inverse methods Non-linear acoustics and vibration Sound and vibration sources, source localisation, sound propagation Underwater and ship acoustics Vibro-acoustics and shock.