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气液两相环状流诱发管道振动模型研究

发布时间:2019-07-31 09:36
【摘要】:根据两相流动过程中弹性恢复力、离心力、科氏力、惯性力的平衡关系,并考虑因管道弯曲产生的非线性因素,建立了气液两相环状流诱发两端简支管道振动的模型;采用Galerkin方法对模型进行离散化处理,得到了系统的非线性矩阵方程。通过对方程系数矩阵线性部分的求解,具体分析了不同折算流速以及不同弹性模量下管道前四阶模态的量纲归一化特征值的实部及虚部之间的变化规律。结果表明:当折算液速一定时,随着折算气速的增大,管道系统的前4阶固有频率会不断减小;在不同的折算液速下,随着折算气速的增大,管道系统会呈现不同的状态;管道的弹性模量对管道的振动也有着较大的影响。通过对整个方程的求解,分析了管道横向振动位移的规律。研究结果表明:弹性模量较小时,管道的振动位移情况较为复杂;而弹性模量较大时,在同样的折算流速下,管道在平衡位置做振幅较小的周期性往复运动。
[Abstract]:According to the equilibrium relationship of elastic restoring force, centrifugal force, Coriander force and inertia force in the process of two-phase flow, and considering the nonlinear factors caused by pipe bending, the model of simply supported pipeline vibration induced by gas-liquid two-phase annular flow is established, and the nonlinear matrix equation of the system is obtained by discretization of the model by Galerkin method. By solving the linear part of the equation coefficient matrix, the variation of the real and imaginary parts of the dimensional normalization eigenvalues of the first four modes of the pipeline under different converted velocity and different elastic modulus is analyzed in detail. The results show that when the converted liquid velocity is constant, the first four natural frequencies of the pipeline system will decrease with the increase of the converted gas velocity, and the pipeline system will show different states with the increase of the converted gas velocity at different converted liquid speeds, and the elastic modulus of the pipeline will also have a great influence on the vibration of the pipeline. By solving the whole equation, the law of transverse vibration displacement of pipeline is analyzed. The results show that when the elastic modulus is small, the vibration displacement of the pipeline is more complex, and when the elastic modulus is large, the pipeline makes periodic reciprocating motion in the equilibrium position at the same converted velocity.
【作者单位】: 西安交通大学动力工程多相流国家重点实验室;中国特种设备检测研究院;
【基金】:质检公益性行业科研专项资助项目(No.201410027)
【分类号】:TB53

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