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Finite element analysis of the vibratory characteristics of cylindrical shells conveying fluid

机译：圆柱壳输送流体振动特性的有限元分析

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A finite element formulation is developed to predict the vibration of cylindrical shells conveying fluid. The method is based on the three-dimensional theory of elasticity and the linearised Eulerian equations. The hydrodynamic pressure is derived from the condition for dynamic coupling of the fluid-structure and the Eulerian equation. The influence of initial stresses within the shell due to fluid pressure is taken into account. Predicted natural frequencies for fluid-shell systems in the radius-to-thickness ratio range of R/h = 38.96-1624 are compared with published experimental results to validate the model, and are also compared with results obtained using other finite element models (based on the classical shell theory and potential flow theory) to demonstrate advantages and disadvantages in terms of accuracy. The effect of variation in flow velocities and hydrostatic pressures on the dynamic behaviour of fluid-conveying shells is examined, and the influence of supported conditions on the free vibration is also discussed.
机译：开发了一种有限元公式来预测输送流体的圆柱壳的振动。该方法基于三维弹性理论和线性化的欧拉方程。流体动压力是从流体-结构和欧拉方程的动态耦合条件得出的。考虑了由于流体压力引起的壳体内初始应力的影响。将R / h = 38.96-1624的半径-厚度比范围内的流体壳系统的预测固有频率与已发布的实验结果进行比较，以验证模型，并与使用其他有限元模型（基于（经典壳理论和势流理论）来展示准确性方面的优缺点。研究了流速和静水压力的变化对流体输送壳体动力学特性的影响，并讨论了支撑条件对自由振动的影响。

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