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Modeling and modal analysis of non-uniform multi-span oil-conveying pipes with elastic foundations and attachments

机译：具有弹性基础和附件的非均匀多跨油输送管的建模与模态分析

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摘要

This paper studies the parametric modal characteristics of non-uniform multi-span oil-conveying pipes, considering many combined factors such as the various foundations that pipes rest on, the accessary masses attached to the pipes, and the flow moving inside the pipes. A new modified lumped-mass transfer matrix method (LTMM) is proposed to derive the governing equation of the system, where we simplified and modeled all the combined factors as lumped masses and springs that can be treated in uniform ways. The boundary is also modeled in a similar lumped-spring strategy. In such a way, the system with combined factors and various boundary conditions is eventually modeled as a "Free-Free" pipe with only lumped masses and springs. Numerical results are illustrated to testify the accuracy and efficiency of the proposed method, and a general case with combined factors affecting the modal characteristics is discussed. It can be presented that rotary inertia and concentrated mass can affect different order mode shapes; under different foundation parameters, the differences between mode shapes are remarkable while the positions of the nodes do not change much, even under classical boundary condition. The results through modal analysis can afford the basis for the vibration analysis, fault diagnosis and prediction, and the optimization design of the dynamic characteristics of the structure.
机译：本文研究了非均匀的多跨量油输送管的参数模型特性，考虑到了许多诸如管道搁置的各种基础的综合因素，附着在管道内部的辅助质量，以及流动管内的流动。提出了一种新的改进的大规模传递矩阵方法（LTMM）来导出系统的控制方程，在那里我们简化并建模了所有组合因子，作为可以以均匀方式处理的集体质量和弹簧。边界也在类似的集成弹簧策略中建模。以这种方式，具有组合因子和各种边界条件的系统最终被建模为“自由”管，只有块状和弹簧。示出了数值结果以证明所提出的方法的准确性和效率，并且讨论了影响模态特征的组合因子的一般情况。可以提出旋转惯性和浓缩质量可以影响不同的订单模式;在不同的基础参数下，即使在古典边界条件下，模式形状之间的差异也是显着的。通过模态分析的结果可以提供振动分析，故障诊断和预测的基础，以及结构的动态特性的优化设计。

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  • 来源
    《Applied Mathematical Modelling》 |2020年第12期|661-675|共15页
  • 作者

    M. Li; Q. Xu; X.C. Chen; X.L. Zhang; Y.H. Li;

  • 作者单位

    School of Mechanics and Engineering Southwest Jiaotong University Chengdu 610031 China;

    School of Mechanics and Engineering Southwest Jiaotong University Chengdu 610031 China;

    School of Mechanics and Engineering Southwest Jiaotong University Chengdu 610031 China;

    School of Mechanics and Engineering Southwest Jiaotong University Chengdu 610031 China;

    School of Mechanics and Engineering Southwest Jiaotong University Chengdu 610031 China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Multi-span oil-conveying pipe; Winkler foundation; LTMM; Frequency; Mode shapes;

    机译：多跨路输送管;Winkler基金会;LTMM;频率;模式形状;

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