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Stability analysis of composite thin-walled pipes conveying fluid

机译：复合薄壁输液管的稳定性分析

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Stability analysis of a composite thin-walled cantilever pipe conveying fluid supported at free end by linear translational and rotational springs is considered in this paper. The governing equations of the system are developed by extended Hamilton's principle for open systems. Applying extended Galerkin technique, eigenvalue analysis is implemented and the critical fluid velocity and consequently stability of the system are obtained. The critical velocity and eigenvalue are validated by comparison with the results in available literature. The numerical results are presented to investigate the effects of fiber orientation angle, volume fraction of fiber, composite layup, size of fiber, structural damping coefficient, mass fluid ratio and elastic boundary conditions on eigenvalue and critical fluid velocity of the system. It is revealed that by increasing the value of fiber orientation angle, the critical fluid velocity of the system is decreased. Furthermore, it is found that the volume fraction of fiber and size of fiber have stabilizing effects on the dynamic behavior of the system. Moreover, it is demonstrated that by increasing the value of linear spring constant at the free end, the pipe loses stability by either divergence or flutter.
机译：本文考虑了复合薄壁悬臂管的稳定性，该悬臂输送流体由线性平移和旋转弹簧支撑在自由端。该系统的控制方程由扩展的汉密尔顿原理建立，用于开放系统。应用扩展的Galerkin技术进行特征值分析，获得临界流体速度，从而获得系统的稳定性。通过与现有文献中的结果进行比较来验证临界速度和特征值。给出了数值结果，以研究纤维取向角，纤维体积分数，复合铺层，纤维尺寸，结构阻尼系数，质量流体比率和弹性边界条件对系统特征值和临界流体速度的影响。揭示了通过增加纤维取向角的值，系统的临界流体速度降低。此外，发现纤维的体积分数和纤维的尺寸对系统的动态行为具有稳定作用。此外，已经证明，通过增加自由端的线性弹簧常数值，管道会因发散或颤动而失去稳定性。

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