A semi-analytical model of guided wave with variable section under inhomogeneous prestress
A semi-analytical model of guided wave with variable section under inhomogeneous prestress
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DOI：
10.1063/5.0158700
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发表时间：
2023-07
期刊：
影响因子：
1.6
通讯作者：
Yunlong Wang;Xiaokai Mu;Bo Yuan;Qingchao Sun;Wei Sun
中科院分区：
文献类型：
--
作者：
Yunlong Wang;Xiaokai Mu;Bo Yuan;Qingchao Sun;Wei Sun
导波传播特性与结构预应力的相关性对于输气管道的结构健康监测至关重要。变截面结构和预应力不均匀是管道中常见的情况。然而，现有的导波有限元模型大多关注二维条件下的结构尺寸和应力分布，难以分析应力不均匀、变截面的三维结构。本文将声弹性理论与基于三维映射法的半解析有限元相结合，研究了导波的传播。它为研究非均匀预应力作用下变截面波导中的导波提供了一种通用的工具。然后，它被应用到两个情况下，一个变截面的空心圆柱受到轴向力和径向力，以证明该方法的能力。色散的解决方案中获得的三维色散表面和在一个可变的横截面中的相速度的变化。结果表明，预应力混凝土梁存在一种对截面变化不敏感而对预应力变化敏感的传播模式。通过与实验结果的比较，验证了该方法的有效性.该研究为变截面波导的结构设计和性能分析提供了良好的应用前景。
The correlation of guided wave propagation characteristics with structural prestress is of paramount importance to the structural health monitoring of gas pipelines. A variable section structure and inhomogeneous prestress are common conditions in the pipeline. However, most of the existing guided wave finite element models focus on the structure size and stress distribution under two-dimensional conditions, and it is difficult to analyze the three-dimensional structure with non-uniform stress and variable cross section. In this paper, an acoustoelastic theory combined with a semi-analytical finite element based on the three-dimensional mapping method is proposed to investigate guided wave propagation. It provides a generalized tool to study guided waves in waveguides with a variable cross section under inhomogeneous prestress. Then it is applied to two cases, a hollow cylinder with a variable cross section subjected to axial force and radial force, to demonstrate the capability of the method. Dispersive solutions are obtained in terms of the three-dimensional dispersion surface and the change in phase velocity in a variable cross section. The results show that there is a propagation mode, which is insensitive to the change in the section but sensitive to the change in prestress. The effectiveness of the proposed method is verified by comparing with the experimental results. This study provides a good application prospect for the structural design and performance analysis of variable cross section waveguides.