论文标题

部分可观测时空混沌系统的无模型预测

Dynamic modeling of the motions of variable-shape wave energy converters

论文作者

Shabara, Mohamed A., Abdelkhalik, Ossama

论文摘要

在最近引入的可变形状波能转化器中,浮标会因不断变化的入射波而主动改变其形状。在这项研究中,描述了用于球形可变形状转换器的动态建模的Lagrangian方法。经典弯曲理论用于使用爱情的近似来编写柔性身体的应力 - 应变方程。假定弹性球形壳具有轴对称振动行为。采用了雷利 - 里兹离散方法来找到球形壳振动模型的近似解决方案。提出了一种新颖的运动方程式,可以代替康明斯方程来弹性浮标。同样,提出了解释浮标模式形状的新型流体动力系数。开发的动态模型与开源边界元素方法软件NEMOH结合使用。使用MATLAB进行双向和单向流体结构的相互作用模拟,以研究在波能转化器中使用柔性形状浮标对其轨迹和功率产生的效果。最后,可变形状浮标能够在所有测试的波浪条件下收集更多的能量。

In the recently introduced Variable-Shape heaving wave energy converters, the buoy changes its shape actively in response to changing incident waves. In this study, a Lagrangian approach for the dynamic modeling of a spherical Variable-Shape Wave Energy Converter is described. The classical bending theory is used to write the stress-strain equations for the flexible body using Love's approximation. The elastic spherical shell is assumed to have an axisymmetric vibrational behavior. The Rayleigh-Ritz discretization method is adopted to find an approximate solution for the vibration model of the spherical shell. A novel equation of motion is presented that serves as a substitute for Cummins equation for flexible buoys. Also, novel hydrodynamic coefficients that account for the buoy mode shapes are proposed. The developed dynamic model is coupled with the open-source boundary element method software NEMOH. Two-way and one-way Fluid-Structure Interaction simulations are performed using MATLAB to study the effect of using a flexible shape buoy in the wave energy converter on its trajectory and power production. Finally, the variable shape buoy was able to harvest more energy for all the tested wave conditions.

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