考虑流固耦合的典型管段结构振动特性分析

研究了两种最常见的流体管段结构模型与计算。对于直管,利用拉氏变换把时域方程变换到频域,对频域方程进行推导求解,得到了直管的频域解析解;对于弯管,直接对方程模型进行整体求解,同样求得了其频域解析解。然后以Davidson单弯管模型为例,说明典型管段结构组合的管道系统的求解方法,并验证直管以及弯管模型和求解方法的正确性。最后,通过改变弯管的弯曲半径以及角度来对管道的流固耦合振动特性的影响因素进行分析。结果表明,弯曲角度以及弯曲半径越小,频谱曲线密集程度越低,耦合振动越弱,反之越强。

Research on fluid-structure interaction in fluid-filled pipes

The model and calculation of two most common pipe sections were studied. For straight pipes, a time-domain equation model considering fluid-structure interaction described by partial difference equations was set up. And the time-domain equations were transferred into frequency domain by Laplace transformation, from which an analytical solution was obtained; For curved pipes, the model was directly solved to get an overall solution, also an analytical solution obtained. Then the single-bend pipe model set up by Davidson was taken as an example to simply illustrate the calculation of combination of the two most common pipe sections, and the correctness of the method was also validated by the model. Finally, the factors affect the characteristics of fluid-structure interaction were analyzed by changing the bend radius and angle of curved pipe. The results show that the smaller the bend radius and angle of curved pipe, the lower density the spectrum curve, which shows that coupled vibration has the less dramatic.