摘要
为了揭示外部激励、油气介质对管道非线性自由振动基频的影响规律,首先基于Euler-Bernoulli非线性几何方程和Hamilton原理,建立油气管道非线性动力学控制方程,然后通过伽辽金法和同伦摄动法,求得油气管道频幅关系、位移-时间曲线的一阶近似解和基频理论解。计算结果表明:推导的理论解与相关文献和实验数据相吻合。管道基频与外激励初始振幅正相关,与介质流速和密度负相关。过高的流体流速或密度易引起管道基频急剧降低。当有适当的扰力出现时,管道系统易发生较大受迫振动乃至共振失效。
In order to reveal the rule of external excitation and oil & gas medium’s influences on the fundamental frequency of nonlinear free vibration of pipelines, having Euler-Bernoulli nonlinear geometric equation and the Hamilton principle based to establish the nonlinear dynamic governing equation of oil and gas pipelines was implemented, including having Galerkin’s and homotopy perturbation method based to obtain frequency-amplitude relationship and the first-order approximate solution and the fundamental frequency theoretical solution of the displacement-time curve. The results show that, the derived theoretical solution of fundamental frequency is in good agreement with the experimental data and related literature. In addition, the fundamental frequency of the pipeline is positively correlated with the initial amplitude of the external excitation and negatively correlated with the flow velocity and density of the medium. Excessive flow velocity or fluid density tends to cause a sharp decrease of the fundamental frequency. In this case, the pipeline system is prone to failure due to large forced vibration or even resonance.
作者
王培鑫
王泽武
赵健
阎琨
WANG Pei-xin;WANG Ze-wu;ZHAO Jian;YAN Kun(School of Chemical Machinery & Safety Engineering, Dalian University of Technology)
出处
《化工机械》
CAS
2019年第2期173-177,共5页
Chemical Engineering & Machinery
基金
中央高校基本科研业务费资助项目(DUT18JC35)
辽宁省自然基金指导计划项目(ZX20180536)
关键词
油气管道
非线性振动
基频
外部激励
油气介质
oil and gas pipeline
nonlinear vibration
fundamental frequency
external excitation
oil & gas medium
