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Non-linear dynamic model of a fluid-conveying pipe undergoing overall motions

机译:整体运动的输液管道非线性动力学模型

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In this study, the investigation of the three-dimensional nonlinear dynamics of a fluid-conveying pipe undergoing overall motions is carried out. Considering the effect of the internal and external fluids, and using a non-Cartesian variable along with two Cartesian variables to describe the elastic deformation, the nonlinear differential equations are derived based on Kane's equation in combination with the Ritz method. An alternative approach to the existing methods utilizing Newtonian balance equations or Hamilton's principle is thus provided. The equations of motion are linearized in the neighborhood of the equilibrium position to implement the multimode linear stability analysis. In addition, the time histories for the displacements are obtained with the help of the Incremental Harmonic Balance (IHB) method. The validity of the new modelling is substantiated by comparing the model and results with those proposed by Pai'doussis (1998).
机译:在这项研究中,对进行整体运动的输液管的三维非线性动力学进行了研究。考虑到内部和外部流体的影响,并使用非笛卡尔变量和两个笛卡尔变量来描述弹性变形,基于Kane方程结合Ritz方法导出了非线性微分方程。因此,提供了一种利用牛顿平衡方程或汉密尔顿原理的现有方法的替代方法。运动方程在平衡位置附近被线性化,以执行多模线性稳定性分析。此外,借助“增量谐波平衡”(IHB)方法获得位移的时间历史记录。通过与Pai'doussis(1998)提出的模型和结果进行比较,证实了新模型的有效性。

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