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Vibrations due to Flow-Driven Repeated Impacts

机译：由于流动驱动的反复撞击而产生的振动

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摘要

We consider a two-degree-of-freedom model where the focus is on analyzing the vibrations of a fixed but flexible structure that is struck repeatedly by a second object. The repetitive impacts due to the second mass are driven by a flowing fluid. Morison's equation is used to model the effect of the fluid on the properties of the structure. The model is developed based on both linearized and quadratic fluid drag forces, both of which are analyzed analytically and simulated numerically. Conservation of linear momentum and the coefficient of restitution are used to characterize the nature of the impacts between the two masses. A resonance condition of the model is analyzed with a Fourier transform. This model is proposed to explain the nature of ice-induced vibrations, without the need for a model of the ice-failure mechanism. The predictions of the model are compared to ice-induced vibrations data that are available in the open literature and found to be in good agreement. Therefore, the use of a repetitive impact model that does not require modeling the ice-failure mechanism can be used to explain some of the observed behavior of ice-induced vibrations.
机译：我们考虑一个两自由度模型，该模型的重点是分析第二个物体反复撞击的固定但灵活的结构的振动。由第二质量引起的重复冲击由流动的流体驱动。莫里森方程用于模拟流体对结构特性的影响。该模型是基于线性和二次流体阻力而开发的，二者均经过分析和数值模拟。线性动量的守恒和恢复系数用于表征两个质量之间的碰撞的性质。用傅立叶变换分析模型的共振条件。提出该模型是为了解释冰引起的振动的性质，而无需建立冰破坏机理的模型。将模型的预测与冰激振数据进行比较，这些数据可从公开文献中获得，并发现有很好的一致性。因此，使用不需要对冰破坏机理进行建模的重复冲击模型，可以用来解释冰引起的振动的某些观察到的行为。

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  • 来源
    《Mathematical Problems in Engineering》 |2013年第7期|760939.1-760939.17|共17页
  • 作者

    Sumin Jeong; Natalie Baddour;

  • 作者单位

    Department of Mechanical Engineering, University of Ottawa, 161 Louis Pasteur, Ottawa, ON, Canada KIN 6N5;

    Department of Mechanical Engineering, University of Ottawa, 161 Louis Pasteur, Ottawa, ON, Canada KIN 6N5;

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