In this article, we derive complex expansion formula of spherical and cylindrical waves by comparing the stacking field of complex ray and the close-form solution in the plane spectral domain.

通过在平面波谱域中比较复射线束叠加场和标准解的方法，导出了球面波和柱面波的复射线束展开系数公式。

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This paper gives a method for analysing and computing the response of a multiple -layered cylindrical structure to impulsive waves in an infinite elastic medium.

本文给出了一种分析计算无限弹性介质中多层园柱结构对脉冲波的响应的方法。

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Dispersion results of the structural vibration waves of higher order circumferential modes in cylindrical shells are calculated, and corresponding dispersion curves are obtained.

研究了圆柱壳中较高阶周向模态结构振动波的频散特性，得到了相应的频散曲线。

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By using a tapered cylindrical shape, internal standing waves and resonances are unable to collect to a measurable degree in any area within the enclosure, and in fact cancel themselves out at various frequencies.

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