We describe the structure of a perspective integral damping coating consisting (with respect to the thickness) of two layers of a viscoelastic material with a thin reinforcing layer in-between. We propose a four-layer finite element model with fourteen degrees of freedom for a plate with a mentioned damping coating. This model allows us to take into account the effect of transversal compression of damping layers under high-frequency vibrations of the plate. For determining some lower complex modes and frequencies of free vibrations of the damped plate, we solve a generalized complex eigenvalue problem using the method of iterations in a subspace.

中文翻译：

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在研究本征频率的基础上确定带整体阻尼涂层的长板的阻尼特性

我们描述了一种透视整体阻尼涂层的结构，该阻尼阻尼涂层由两层粘弹性材料组成（相对于厚度而言），中间有一层薄的增强层。我们针对具有提到的阻尼涂层的板，提出了具有十四个自由度的四层有限元模型。该模型使我们可以考虑在板的高频振动下阻尼层的横向压缩效应。为了确定阻尼板的一些较低的复模和频率，我们使用子空间中的迭代方法解决了广义复特征值问题。