The impact of parametric resonance due to pulsating flows on vortex-induced vibrations of a pipeline is investigated in this study. The pipeline is modeled as an Euler-Bernoulli beam with internal oscillatory flow and the lift force induced by the vortex formation is modeled through Van der Pol oscillator. The constructed coupling dynamics equations are settled by utilizing the direct perturbation method of multiple scales (MMS). The results indicate that the variation range of the peak vibration amplitude of the pipe increases first and then decreases, with jumping phenomenon during the process. Furthermore, in order to validate the application of MMS, the method of numerical simulations (MNS) is employed with different booking scales. And the results obtained by these two methods agree well with each other.
展开▼
机译：本研究研究了参数谐振引起的涡流诱导的涡流振动的影响。管道被建模为具有内部振荡流的欧拉 - 伯努利光束，涡旋形成引起的提升力通过van der Pol振荡器建模。通过利用多个尺度（MMS）的直接扰动方法来解决构造的耦合动力学方程。结果表明，管道的峰值振动幅度的变化范围首先增加，然后减小，在该过程中具有跳跃现象。此外，为了验证MMS的应用，使用不同预订尺度使用数值模拟（MNS）的方法。通过这两种方法获得的结果彼此一致。
展开▼
