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首页> 外文期刊>Applied Mathematical Modelling >Nonlinear parametric vibration of spinning pipes conveying fluid with varying spinning speed and flow velocity
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Nonlinear parametric vibration of spinning pipes conveying fluid with varying spinning speed and flow velocity

机译：具有不同纺丝速度和流速传送流体的纺丝管的非线性参数振动

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摘要

In this paper, a nonlinear parameter-excited model of spinning pipes conveying fluid is proposed by considering the spinning speed and flow velocity are perturbed periodically, and the stability and nonlinear parametric vibrations of such system are studied analytically and numerically. With taking the viscoelastic material and geometrical nonlinearity due to extensible pipe axis into account, the differential equations governing two transverse vibrations of the pipe are derived by the Hamilton principle. The system stability is then analyzed via the multiple scales method, and the nonlinear responses and spatial vibration shapes are investigated using numerical simulation. The contributions of some significant parameters on the vibrations of the system are discussed in detail. It is revealed that not any other motion but combination parametric resonance with quasi-periodic motion mode can occur in the present system, and it is induced fully by the periodically perturbed fluid. A perturbed spinning motion cannot result in any parametric resonance, however it has an opposite effect on the parametric vibrations as compared to that with constant spinning speed. The flow velocity, nonlinearity and viscoelastic damping all have significant impacts on the present parametric vibrations. Moreover, the pipe performs different aperiodic whirling motions in the first two modes, and the perturbed spinning speed will lead to a gentler motion of the pipe as compared to the case of constant spinning speed.
机译：在本文中，通过考虑纺丝速度和流速周期性地，提出了一种纺丝管传送流体的非线性参数激励模型，并且在数值上和数值进行了这种系统的稳定性和非线性参数振动。由于考虑了悬崖轴而引起粘弹性材料和几何非线性，控制管道两个横向振动的微分方程是由汉密尔顿原则推导的。然后通过多个刻度方法分析系统稳定性，使用数值模拟研究非线性响应和空间振动形状。详细讨论了一些关于系统振动上的一些重要参数的贡献。揭示出，没有任何其他运动，但是在本系统中可能发生与准周期性运动模式的组合参数谐振，并且它通过周期性扰动的流体完全诱导。扰动纺丝运动不能导致任何参数谐振，然而与具有恒定纺丝速度相比的参数振动具有相反的效果。流速，非线性和粘弹性阻尼所有对当前参数振动产生显着影响。此外，与恒定纺丝速度相比，管道在前两种模式中执行不同的非周期性旋转运动，并且扰动纺纱速度将导致管道的温和运动。

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