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Stability analysis of oil-conveying pipes on two-parameter foundations with generalized boundary condition by means of Green's functions

机译：基于格林函数的广义边界条件两参数地基输油管稳定性分析

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摘要

This paper mainly concentrates on obtaining the explicit solutions of the forced vibrations of oil-conveying pipes on two-parameter foundations and studying the stabilities of these pipes. With the assistance of the Euler-Bernoulli assumption, the dynamic equations of the pipes are modelled by means of Hamilton's principle. The generalized boundary condition (BC), which can be reduced to many different simple BCs, is considered in the vibration problems. Green's function and the superposition property of linear vibrations are employed to derive the analytical solutions, and the Laplace transforms are applied with intention of gaining the Green's functions under various BCs. In the numerical section, the present solutions are validated by comparing with the results in the other literature. In addition, the effects of some important physical parameters, for instance boundary stiffness, foundation parameters, geometric parameters, etc., on the natural frequencies and the critical flow velocities are discussed as well.
机译：本文主要集中于在两参数基础上获得输油管道强迫振动的显式解，并研究这些管道的稳定性。借助Euler-Bernoulli假设，利用汉密尔顿原理对管道的动力学方程进行建模。在振动问题中考虑了可以简化为许多不同的简单BC的广义边界条件（BC）。利用格林函数和线性振动的叠加特性来导出解析解，并应用拉普拉斯变换，旨在获得各种BCs下的格林函数。在数值部分，通过与其他文献中的结果进行比较来验证本解决方案。此外，还讨论了一些重要的物理参数，例如边界刚度，基础参数，几何参数等，对固有频率和临界流速的影响。

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  • 来源
    《Engineering Structures》 |2018年第15期|300-312|共13页
  • 作者

    Li M.; Zhao X.; Li X.; Chang X. P.; Li Y. H.;

  • 作者单位

    Southwest Jiaotong Univ, Sch Mech & Engn, Chengdu 610031, Sichuan, Peoples R China;

    Southwest Petr Univ, Sch Civil Engn & Architecture, Chengdu 610500, Sichuan, Peoples R China;

    Southwest Jiaotong Univ, Sch Mech & Engn, Chengdu 610031, Sichuan, Peoples R China;

    Southwest Jiaotong Univ, Sch Mech & Engn, Chengdu 610031, Sichuan, Peoples R China;

    Southwest Jiaotong Univ, Sch Mech & Engn, Chengdu 610031, Sichuan, Peoples R 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

    Oil-conveying pipe; Pasternak foundation; Forced vibration; Stability; Green's functions;

    机译：输油管;帕斯特纳克基础;强振动;稳定性;格林函数;

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