Multi-mode propagation and diffusion in structures through finite elements

Multi-mode propagation and diffusion in structures through finite elements
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DOI:
10.1016/j.euromechsol.2005.05.004
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发表时间:
2005-09
影响因子:
4.1
通讯作者:
Jean-Mathieu Mencik;M. Ichchou
Jean-Mathieu Mencik;M. Ichchou
中科院分区:
工程技术2区
文献类型:
--
作者:
Jean-Mathieu Mencik;M. Ichchou

文献摘要

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本文研究了结构中导波特性的问题。引导多模色散曲线和波在奇点处的扩散是主要关注的问题。传播的方法,基于有限元模型,制定。该方法为计算复杂导频结构的频散曲线提供了一种有效途径。由该公式推导出导波的一些性质。还考虑了子结构耦合位置处的波扩散问题。利用拉格朗日乘子给出了问题的封闭形式。详细介绍了该算法的数值实现。最后,提供了一个数值测试。案例研究涉及薄壁结构。
The present work addresses the question of guided wave properties in structures. Guided multi-modal dispersion curves and diffusion of waves at singularities are the main concern. A propagative approach, based on a finite element model, is formulated. It provides an effective way to calculate the dispersion curves of complex guided structures. Some properties of guided waves are deduced from the formulation. The question of wave diffusion at substructures coupling locations is also considered. A closed formulation of the problem using Lagrange multipliers is presented. Its numerical implementation is detailed. Ultimately, a numerical test is offered. The case study concerns a thin walled structure.