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高云, 陈晓东, 程玮, 刘磊. 固-液两相内流激励下悬臂输流管道稳定性特征研究. 力学学报, 2024, 56(3): 576-584. DOI: 10.6052/0459-1879-23-539
引用本文: 高云, 陈晓东, 程玮, 刘磊. 固-液两相内流激励下悬臂输流管道稳定性特征研究. 力学学报, 2024, 56(3): 576-584. DOI: 10.6052/0459-1879-23-539
Gao Yun, Chen Xiaodong, Cheng Wei, Liu Lei. Study on stability characteristics of cantilever pipeline subjected to a solid-liquid two-phase internal flow. Chinese Journal of Theoretical and Applied Mechanics, 2024, 56(3): 576-584. DOI: 10.6052/0459-1879-23-539
Citation: Gao Yun, Chen Xiaodong, Cheng Wei, Liu Lei. Study on stability characteristics of cantilever pipeline subjected to a solid-liquid two-phase internal flow. Chinese Journal of Theoretical and Applied Mechanics, 2024, 56(3): 576-584. DOI: 10.6052/0459-1879-23-539

固-液两相内流激励下悬臂输流管道稳定性特征研究

STUDY ON STABILITY CHARACTERISTICS OF CANTILEVER PIPELINE SUBJECTED TO A SOLID-LIQUID TWO-PHASE INTERNAL FLOW

  • 摘要: 对输送介质为固-液两相流的悬臂输流管道模型进行了数值研究. 首先, 采用能量法以及哈密顿变分原理建立了固-液两相内流激励下悬臂输流管道的动力学方程. 随后, 用Galerkin方法对方程进行离散, 将偏微分方程转化为一系列常微分方程构成的方程组. 最后, 利用特征值法以及Newton-Raphson迭代法对管道的稳定性特征展开了数值求解. 对4种不同无量纲端部质量块下无量纲细长比、无量纲重力系数、以及无量纲固相比这几个重要参数对临界速度的影响展开了研究. 研究结果表明, 当内流速度小于临界速度时, 系统特征频率虚部均为正数, 结构振动形式表现为衰减振动; 当内流速度超过临界速度时, 系统的某阶特征频率虚部会出现负数, 结构振动形式表现为颤振失稳. 此外, 端部质量对临界速度的影响随着重力系数的增加呈下降趋势; 当重力系数增加到一定值时, 临界速度值基本不受端部质量影响. 当细长比和固相比较小时, 随着端部集中质量块质量的增加, 临界速度均呈下降趋势; 当细长比和固相比较大时, 临界速度不再呈单调变化趋势, 而是呈现出较为复杂的变化趋势. 该研究对悬臂输流管道早期的合理设计, 以及服役期的安全工作均有着重要的理论和工程价值.

     

    Abstract: In this paper, a cantilevered pipe model which conveys a two-phase, solid-liquid flow is numerically studied. First, the dynamic equation of cantilever pipeline is established based on an energy method and Hamiltonian variational principle. Then, the above partial differential equation is discretized by the Galerkin method of finite order to obtain a system of ordinary differential equations. Finally, the eigenvalue method and Newton-Raphson method are applied to study the stability characteristics of the cantilever pipeline model. The dimensionless aspect ratio, the dimensionless gravity coefficient, and the dimensionless solid-phase volume under four different dimensionless ended mass are selected to analyze the impact on the critical velocity. The results show that when the inner flow velocity is less than the critical velocity, all of the imaginary parts of the characteristic frequencies of the system have positive values, and the vibration form of the structure is damped. However, as the inner flow velocity exceeds the critical velocity, the imaginary part of a certain characteristic frequency of the system will appear to be negative, and resulting in the structure vibration form displaying the flutter instability. In addition, the influence of the end lumped mass on the critical velocity decreases with the increase of the gravity coefficient. When the gravity coefficient increases to a certain value, the critical velocity value is slightly affected by the end lumped mass. When the aspect ratios and the solid phase ratio are small, the critical velocity decreases with the increase of the mass at the end. When the aspect ratios and the solid phase ratio are larger, the critical velocity no longer shows a monotonous change trend, but a more complex change trend. The research has important theoretical and engineering value for the reasonable design of cantilever pipeline in the early stage and the safety work during the service period.

     

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