论文标题

粘弹性复合物结构声系统中轴向波的分析:理论和实验

Analysis of axial waves in visco-elastic complex structural-acoustic systems: Theory and experiment

论文作者

Rojas, J. A., Morales, A., Gutiérrez, L., Otero, J. A., Carrillo, E. A., Monsivais, G., Flores, J.

论文摘要

对受轴向振荡的耦合粘弹弹条的光谱响应进行了实验和理论研究。用于包膜函数的新型闭合公式及其宽度被得出。这些公式明确显示了能量消散所起的作用。他们表明,内部摩擦不会影响单个共振的信封的宽度。该公式基于与Voigt粘弹性模型相结合的经典力学方程。研究的系统由一个,两个或三个耦合条的序列与中央轴线组成。假定其中一个酒吧比其他条形图长得多。我们讨论了结果与核物理学第一次发现的强度功能现象的概念之间的联系。我们的表述是基于模糊结构理论的近似研究的替代方法,其他作者已将其用于描述这种类型的耦合。分析表达式很好地描述了实验室的测量值。

An experimental and theoretical study of the spectral response of coupled visco-elastic bars subject to axial oscillations is done. Novel closed formulas for the envelope function and their width is derived. These formulas explicitly show the role played by energy dissipation. They show that the internal friction does not affect the width of the envelope of the individual resonances. The formulation is based on the equations of classical mechanics combined with Voigt's viscoelastic model. The systems studied consist of a sequence of one, two, or three coupled bars, with their central axes collinear. One of the bars is assumed to be much longer than the others. We discuss the connection between our results with the concept of the strength function phenomenon discovered for the first time in nuclear physics. Our formulation is an alternative and exact approach to the approximated studies based on the fuzzy structure theory that has been used by other authors to describe this type of couplings. The analytical expressions describe the measurements in the laboratory very well.

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