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首页> 外文期刊>Physics of fluids >Mechanical energy dissipation induced by sloshing and wave breaking in a fully coupled angular motion system. I. Theoretical formulation and numerical investigation
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Mechanical energy dissipation induced by sloshing and wave breaking in a fully coupled angular motion system. I. Theoretical formulation and numerical investigation

机译：在完全耦合的角运动系统中，由于晃动和破碎而引起的机械能耗散。一，理论公式与数值研究

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A dynamical system involving a driven pendulum filled with liquid is analyzed in the present paper series. The study of such a system is conducted in order to understand energy dissipation resulting from the shallow water sloshing and induced wave breaking. This analysis is relevant for the design of Tuned Liquid Damper devices. The complexity and violence of the flow generated by the roll motion results in the impossibility of using an analytical approach, requiring in turn the use of a suitable numerical solver. In this paper, the coupled dynamical system is thoroughly described, revealing its nonlinear features associated with the large amplitude of the forcing, both in terms of mechanical and fluid dynamical aspects. A smoothed particle hydrodynamics model, largely validated in literature, is used to calculate the frequency behavior of the whole system. For small rotation angles, a semi-analytical model of the energy dissipated by the fluid, based on a hydraulic jump solution, is developed; the energy transfer is numerically calculated in order to extend the analysis to large oscillation angles. The experimental part of the investigation is carried out in Paper II [B. Bouscasse, A. Colagrossi, A. Souto-Iglesias, and J. L. C. Pita, "Mechanical energy dissipation induced by sloshing and wave breaking in a fully coupled angular motion system. II. Experimental investigation," Phys. Fluids 26, 033104 (2014)] of this work.
机译：在本论文系列中，分析了一个动力学系统，该系统涉及一个充满液体的驱动摆。为了了解由于浅水晃动和感应波破坏而导致的能量耗散，进行了这种系统的研究。该分析与调谐液体阻尼器设备的设计有关。由滚动运动产生的流动的复杂性和暴力性导致无法使用分析方法，进而需要使用合适的数值求解器。在本文中，对耦合动力系统进行了详尽的描述，从力学和流体动力学方面揭示了其与强迫作用幅度较大相关的非线性特征。一个平滑的粒子流体动力学模型（在文献中得到了很大的验证）用于计算整个系统的频率行为。对于较小的旋转角度，建立了基于液压跳跃解的流体耗散能量的半解析模型。通过数值计算能量传递，以将分析扩展到较大的振荡角。研究的实验部分在论文II中进行[B. Bouscasse，A。Colagrossi，A。Souto-Iglesias和J. L. C. Pita，“在完全耦合的角运动系统中由晃动和破碎引起的机械能耗散。II。实验研究，”物理。流体26，033104（2014）]。

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