基于谱单元法的船用输流管道振动建模与分析

Modeling of Marine Fluid-Conveying Pipeline and Vibration Analysis Based on Spectral Element Method

输流管道的耦合振动分析对于船舶通液管路的振动预报和减振降噪具有重要的研究意义。基于Timoshenko梁模型,考虑了流体与管壁间的相互作用,利用Hamilton原理及流体的连续方程、动量方程,构建了三维输流管道动力学模型。然后运用谱单元法求解和组装管道单元,适用于任意边界条件及任意长度的管系结构。通过算例验证了该计算方法的正确性,还分析了轴向预拉力、弹性支撑边界对于输流管道稳定性的影响。与有限元软件计算及试验结果的比较显示了该计算方法的准确性和较高的计算效率。

Coupled vibration analysis of fluid-conveying pipe is significant to vibration prediction,vibration damping and noise reduction of liquid-filled pipelines in ships.By considering the interaction between the fluid and the pipe wall,a dynamical model of three-dimensional fluid-conveying pipeline based on the Timoshenko's beam theory is established.Hamilton's principle,as well as mass conservation and momentum equations of fluid is applied to the derivation of the equations.Spectral element method is utilized to solve the pipe elements,which are suitable to pipelines with various boundary conditions.This calculation model is verified through numerical examples.Effects of initial tension and spring supports on the stability of the pipeline are analyzed.Accuracy and efficiency of the present method are demonstrated in comparison with the results from the finite element software and experiments.