When a cylinder is free to move along a transverse rectilinear path within a current, the vibrations developing with and without structural restoring force (SRF) noticeably deviate: if the elastic support is removed, their onset is delayed from a Reynolds number ( $Re$ , based on the body diameter and inflow velocity) value of approximately 20 to 30, and their peak amplitudes and frequency bandwidths are substantially reduced. The present study examines the influence of a curved path on this deviation by considering that the cylinder, mounted on an elastic support or not, is free to translate along a circular path whose radius is varied. The investigation is carried out numerically at $Re=25$ and $100$ , i.e. subcritical and postcritical values relative to the threshold of $47$ that marks the onset of flow unsteadiness for a fixed body. The principal result of this work is that the behaviours of the flow–structure systems with and without SRF tend to converge under the effect of path curvature. Beyond a certain curvature magnitude, both systems explore the same vibration ranges and the presence or absence of SRF becomes indiscernible. This convergence is accompanied by an enhancement of the responses appearing without SRF. It is analysed in light of the evolution of the effective added mass which determines the subset of responses reached with SRF that remain accessible without SRF. The apparent continuity of the physical mechanisms between the subcritical- and postcritical- $Re$ values suggests that the convergence phenomenon uncovered here could persist at higher $Re$ .

中文翻译：

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有和没有结构恢复力的流致振动：路径曲率作用下的收敛

当圆柱体在电流内沿横向直线路径自由移动时，在有结构恢复力 (SRF) 的情况下产生的振动会明显偏离：如果移除弹性支撑，振动的发生会从雷诺数延迟（ $再$ ，基于主体直径和流入速度）值约为 20 至 30，并且它们的峰值幅度和频率带宽大幅减小。本研究通过考虑安装在弹性支撑件上或未安装在弹性支撑件上的圆柱体可以沿着半径变化的圆形路径自由平​​移来检验弯曲路径对此偏差的影响。调查以数字方式进行 $回复=25$ 和 $100$ ，即相对于阈值的亚临界和后临界值 $47$ 这标志着固定体流动不稳定的开始。这项工作的主要结果是，有和没有 SRF 的流-结构系统的行为在路径曲率的影响下趋于收敛。超过一定的曲率幅度后，两个系统都会探索相同的振动范围，并且 SRF 的存在或不存在变得难以辨别。这种收敛伴随着在没有 SRF 的情况下出现的响应的增强。根据有效附加质量的演变对其进行分析，有效附加质量决定了使用 SRF 达到的响应子集，而无需 SRF 仍可访问。亚临界和后临界之间物理机制的明显连续性 $再$ 值表明这里发现的收敛现象可能会在更高的温度下持续存在 $再$ 。