Hasheminejad Seyyed M, Rajabi M
Acoustics Research Laboratory, Department of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran 16844, Iran.
Ultrasonics. 2007 Dec;47(1-4):32-48. doi: 10.1016/j.ultras.2007.06.003. Epub 2007 Jun 28.
The method of wave function expansion is adopted to study the scattering of a plane harmonic acoustic wave incident at an arbitrary angle upon an arbitrarily thick cylindrically orthotropic homogeneous cylindrical shell submerged in and filled with compressible ideal fluids. A laminate approximate model and the so-called state space formulation in conjunction with the classical transfer matrix (T-matrix) approach are employed to present an analytical solution based on the three-dimensional exact equations of anisotropic elasticity. The solution is used to correlate the perturbation in the material elastic constants of an air-filled and water-submerged aluminium cylindrical shell to the sensitivity of resonances associated with various modes of wave propagation appearing in the backscattered amplitude spectrum (i.e., axially guided, Lamb, Rayleigh and Whispering Gallery waves). The effects of shell wall thickness as well as inner fluid loading on the frequency response of the shell are also examined. A limiting case is considered and good agreement with the solution available in the literature is obtained.
采用波函数展开法研究平面简谐声波以任意角度入射到浸没在并充满可压缩理想流体中的任意厚度的圆柱正交各向异性均匀圆柱壳上的散射问题。采用层合近似模型以及所谓的状态空间公式结合经典传递矩阵（T 矩阵）方法，基于各向异性弹性的三维精确方程给出解析解。该解用于将充气并浸没在水中的铝质圆柱壳材料弹性常数的扰动与背向散射幅度谱中出现的各种波传播模式（即轴向导波、兰姆波、瑞利波和回音壁波）相关联的共振灵敏度联系起来。还研究了壳壁厚度以及内部流体负载对壳频率响应的影响。考虑了一个极限情况，并与文献中可用的解取得了良好的一致性。
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