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Wave component solutions of free vibration and mode damping loss factor of finite length periodic beam structure with damping material

机译：含阻尼材料的有限长周期梁结构自由振动的波分量解和模阻尼系数

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摘要

Free vibration and mode damping loss factor of the finite periodic beam structure with viscoelastic damping material are investigated in this paper based on wave component method. A simple iterative operation for the natural vibration modes of the beam structure is firstly proposed by considering that the mode shape can be formed through superposition of the wave shapes of the wave components of the beam structure at the corresponding natural frequency. And then, wave component solution of the mode damping loss factor of the beam structure is obtained and analyzed based on the modal stain energy method. It is found that the kinetic energy of the unit cell of propagative wave component is always the same with the strain energy, and for non-propagative wave component these two quantities will never be equal. In numerical examples, the proposed iterative operation is validated.
机译：本文基于波动分量法研究了具有粘弹性阻尼材料的有限周期梁结构的自由振动和模态阻尼损耗因子。首先考虑到可以通过以相应的固有频率叠加梁结构的波分量的波形来形成模态形状，从而提出一种梁结构固有振动模态的简单迭代操作。然后，基于模态染色能量法，获得并分析了梁结构的模态阻尼损耗因子的波分量解。发现传播波分量的晶胞的动能总是与应变能相同，对于非传播波分量，这两个量永远不会相等。在数值示例中，对所提出的迭代操作进行了验证。

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