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Temporal response of a flexible cantilevered plate subjected to tangentially-advecting vortex rings: Application to energy harvesting systems
Journal of Fluids and Structures ( IF 3.4 ) Pub Date : 2021-04-19 , DOI: 10.1016/j.jfluidstructs.2021.103284
Alireza Pirnia , Sean D. Peterson , Byron D. Erath

The dynamics of a cantilevered plate driven by a train of tangentially-advecting vortex rings is significantly impacted by two temporal parameters, namely the Strouhal number and the frequency ratio. The former relates the vortex ring advection time-scale to the fundamental period of the vibrating structure, while the latter relates the vortex production frequency to the structural fundamental frequency. The effect of these two parameters on the plate dynamics and the vortex-plate energy exchange process is investigated experimentally in this study. It is observed that an optimal range of Strouhal numbers exists that maximizes the plate energy. The range is centered around St=0.5, the value at which the plate dynamics and the vortex loading are in-phase. The effect of perturbations in the periodicity of the vortex production (frequency ratio) on the dynamical response of the system in off-design conditions is also explored. It is observed that the off-design response of the system, characterized by a reduction in average energy transfer to the plate, is a function of the separation distance between the advecting vortices and the flexible plate, as well as the degree of deviation of the frequency ratio from the optimal design condition, where the frequency of vortex production is the same as the fundamental frequency of the plate. The findings of this investigation can assist in the optimal design of cantilever plate-based energy harvesters, as well as providing an estimation of the energy exchange in such systems.



中文翻译:

切向平移涡流环的柔性悬臂板的时间响应:在能量收集系统中的应用

由一系列切向平移的涡流环驱动的悬臂板的动力学受到两个时间参数(斯特劳哈尔数和频率比)的显着影响。前者将涡环对流时间尺度与振动结构的基频相关,而后者将涡旋产生频率与结构基频相关。本实验通过实验研究了这两个参数对板动力学和涡-板能量交换过程的影响。可以观察到,存在斯特劳哈尔数的最佳范围,该范围使印版能量最大化。范围以周围为中心 英石=05,这是板动力学和涡旋载荷同相时的值。在非设计条件下,还研究了扰动在涡旋产生的周期性(频率比)中对系统动力响应的影响。可以观察到,系统的非设计响应(其特征在于,平均能量传递到板的减少)是对流涡流和柔性板之间的分离距离以及板的偏离程度的函数。最佳设计条件下的频率比,其中涡旋产生的频率与板的基本频率相同。这项研究的结果可以帮助优化基于悬臂板的能量收集器的设计,并提供此类系统中能量交换的估计。

更新日期:2021-04-19
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