Abstract

The problem of the passage of a monoharmonic plane sound wave through a thin composite rectangular plate hingly supported in the aperture of an absolutely rigid partition has been considered. In this work, two-dimensional equations of motion constructed by reduction of three-dimensional equations were used. These equations were based on a discrete structural model of multilayer plates deformation at small displacements and deformations. Additionally there were taken into account the internal friction of layer materials according to the Kelvin–Voigt model. The behavior of acoustic media is described by the generalized Helmholtz wave equations, composed with the introduction of the complex sound velocity according to Skudrzyk to take into account the dissipation of energy. An exact analytical solution of the formulated problem has been obtained. On this basis, this work studies the insulation properties and the stress-strain parameters of a composite plate reinforced with carbon textile depending on the incident sound wave frequency. In addition to this, the laws that represent the change in the sound pressure in an acoustic medium with a distance from the plate were established.

中文翻译：

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完美可压缩流体中复合板的自由和受迫振动，考虑了板和流体中的能量耗散

摘要

已经考虑了单谐波平面声波通过铰接支撑在绝对刚性隔板孔径中的薄复合矩形板的问题。在这项工作中，使用了通过简化三维方程构建的二维运动方程。这些方程基于在小位移和变形下多层板变形的离散结构模型。此外，根据 Kelvin-Voigt 模型考虑了层材料的内摩擦。声学介质的行为由广义亥姆霍兹波动方程描述，其中引入了根据 Skudrzyk 的复声速以考虑能量耗散。已获得公式化问题的精确解析解。在此基础上，本文研究了碳纤维增强复合板的绝缘性能和应力应变参数与入射声波频率的关系。除此之外，还建立了代表声学介质中声压随离板距离变化的规律。