A time-domain spectral element method for wave propagation analysis of three-dimensional curved-edge structures

被引：0
作者：
Yue, Maoling [1 ]
Yu, Zexing [1 ,2 ]
Sun, Jiaying [1 ]
Xu, Chao [1 ,3 ]
机构：
[1] School of Astronautics, Northwestern Polytechnical University, Xi'an
[2] Xi'an Institute of Space Radio Technology, Xi'an
[3] Yangtze River Delta Research Institute, Northwestern Polytechnical University, Suzhou
来源：
Zhendong yu Chongji/Journal of Vibration and Shock | 2024年 / 43卷 / 20期
关键词：
curved-edge structures; elastic wave; high-order element; time-domain spectral element method; wave propagation;
D O I：
10.13465/j.cnki.jvs.2024.20.035
中图分类号：
学科分类号：
摘要：
In aerospace engineering, there are a large number of structures with curved edges or curved surfaces, and when elastic waves are used to detect the damage of such structures, the analysis of elastic wave propagation behavior in the structure is an important link, and at present, numerical simulation is an effective method to study the propagation behavior of elastic waves in structures. Existing numerical simulation methods mostly use straight-edge elements when modeling curved-edge structures, and there are large geometric approximation errors at the structural boundaries, which affects the accuracy of elastic wave propagation simulation. To solve this problem, under the time-domain spectral element methodology, a sub-parametric curved-edge spectral element with 27 nodes was derived in this paper, which uses a quadratic interpolation function to describe the element boundary. This element can accurately describe the geometric characteristics of complex curved-edge structures, so it is suitable for simulating the propagation behavior of elastic waves in such structures. Taking the wave propagation problem in a thin-walled cylindrical structure as an example, the propagation behavior of elastic waves in this structure was calculated by using the curved-edge spectral element method, the straight-edge spectral element method and the classical finite element method, respectively to verify the efficiency and accuracy of the proposed method. Results show that under the same calculation accuracy, the calculation scale of the curved-edge element method is much smaller than that of the classical finite element method, which verifies the efficiency of the curved-edge element method. Under the same mesh scale, compared with the straight-edge spectral element method, the calculation model of the curved-edge spectral element method can better approximate the actual structure, so as to achieve higher solution accuracy, and the curved edge spectral element method is not sensitive to the change of element size, and can quickly converge to an accurate solution at a smaller mesh scale. In addition, the larger the curvature of the structure, the more significant the computation advantages of the curved-edge element method compared with the straight-edge spectral element method. © 2024 Chinese Vibration Engineering Society. All rights reserved.
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页码：325 / 333
页数：8
相关论文
共 22 条
  • [1] Yang Z., Yang H., Tian T., Et al., A review on guided-ultrasonic-wave-based structural health monitoring: from fundamental theory to machine learning techniques [J], Ultrasonics, 133, (2023)
  • [2] Mira M., Gopalakrishnan S., Guided wave based structural health monitoring: a review [J], Smart Material and Structures, 25, 5, (2016)
  • [3] Santosh K., Mayank J., A Cl-continuous time domain spectral finite element for wave propagation analysis of Euler-Bernoulli beams [J], International Journal for Numerical Methods in Engineering, 122, pp. 2631-2652, (2021)
  • [4] Moser F., Jacobs L.J., Qu J., Modeling elastic wave propagation in waveguides with the finite element method[J], NDT & E International, 32, 4, pp. 225-234, (1999)
  • [5] Willberg C., Christian B., Duczek S., Et al., Comparison of different higher order finite element schemes for the simulation of Lamb waves [J], Computer Methods in Applied Mechanics and Engineering, 241, pp. 246-261, (2012)
  • [6] Liu S., Yang D., Meng X., Et al., A Legendre spectral element method with optimal mass matrix for seismic wave modeling [J], Chinese Journal of Geophysics, 65, 12, pp. 4802-4815, (2022)
  • [7] Kudela P., Krawczuk M., Ostachowicz W., Wave propagation modelling in ID structures using spectral finite elements[J], Sound Vibration, 300, 1, pp. 88-100, (2007)
  • [8] Ostachowicz W., Kudela P., Krawczuk M., Et al., Guided waves in structures for SHM: the time-domain spectral element method [M], (2011)
  • [9] Peng H.K., Meng G., Li F.C., Modeling of wave propagation in plate structures using three-dimensional spectral element method for damage detection [J], Sound Vibration, 320, 4, pp. 942-954, (2009)
  • [10] Lonkar K., Chang F.K., Modeling of piezo-induced ultrasonic wave propagation in composite structures using layered solid spectral element [J], Structural Health Monitoring, 13, 1, pp. 50-67, (2014)
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