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<p>Research on pipe dynamics primarily focuses on in-plane vibration. However, pipes simultaneously experience in-plane and out-of-plane vibrations. Therefore, a three-dimensional dynamic model using the absolute nodal coordinate formulation (ANCF) method is established and the dynamic characteristics of a planar L-shaped pipe are analyzed. Firstly, the dynamic equations of the pipe element are derived, and then the overall equations of the pipe model are composed by matrix assembly. By solving equations, it is found that static deformation caused by fluid velocity occurs in the plane, with larger deformations at higher fluid velocities. Additionally, the study observes coupling between different modes and variations in modal shapes. Variations in arc segment structural parameters result in non-uniform changes in natural frequencies, with out-of-plane vibration presenting even more complexity, and the results are verified by ANSYS simulation. Subsequently, a comparison between experimental and theoretical results is conducted across three sets of structural parameters, the consistency between these results validates the engineering significance of the theoretical model.</p>

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Three-dimensional vibration of L-shaped pipes conveying fluid

  • 期刊论文

  • 发表日期：

    2025年3月15日

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  • Yuchen Guo,
  • Hu Ding,
  • Xiaoye Mao,
  • Sha Wei,
  • Liqun Chen

摘要

Research on pipe dynamics primarily focuses on in-plane vibration. However, pipes simultaneously experience in-plane and out-of-plane vibrations. Therefore, a three-dimensional dynamic model using the absolute nodal coordinate formulation (ANCF) method is established and the dynamic characteristics of a planar L-shaped pipe are analyzed. Firstly, the dynamic equations of the pipe element are derived, and then the overall equations of the pipe model are composed by matrix assembly. By solving equations, it is found that static deformation caused by fluid velocity occurs in the plane, with larger deformations at higher fluid velocities. Additionally, the study observes coupling between different modes and variations in modal shapes. Variations in arc segment structural parameters result in non-uniform changes in natural frequencies, with out-of-plane vibration presenting even more complexity, and the results are verified by ANSYS simulation. Subsequently, a comparison between experimental and theoretical results is conducted across three sets of structural parameters, the consistency between these results validates the engineering significance of the theoretical model.