论文标题

在轻质加载的情况下,气体 /板结构中的瞬态过程

Transient processes in a gas / plate structure in the case of light gas loading

论文作者

Mironov, M. A., Shanin, A. V., Korolkov, A. I., Kniazeva, K. S.

论文摘要

研究了带有柔性壁的声学波导中的脉冲激发问题,并研究了具有柔性壁的声学半空间。在这两种情况下,柔性壁均通过薄板方程描述。解决方案写为双傅里叶积分。波导的积分是明确计算的,半空间的积分是渐近估计的。特别注意脉冲,这是与声学介质和板的分散图的巧合点相关的有限持续时间的谐波波。估计双傅立叶积分的方法应用于由冰板,水底物和空气组成的系统中的波动问题。

Problems of pulse excitation in an acoustic waveguide with a flexible wall and in an acoustic half-space with a flexible wall are studied. In both cases the flexible wall is described by a thin plate equation. The solutions are written as double Fourier integrals. The integral for the waveguide is computed explicitly, and the integral for the half-space is estimated asymptotically. A special attention is paid to the pulse, which is a harmonic wave of a finite duration associated with the coincidence point of the dispersion diagrams of the acoustic medium and the plate. The method of estimating of the double Fourier integral is applied to the problem of excitation of waves in a system composed of an ice plate, water substrate, and the air.

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