论文标题
层流唤醒的相锁定到周期性圆柱体的周期性振动
Phase-locking of laminar wake to periodic vibrations of a circular cylinder
论文作者
论文摘要
使用相还原分析研究了二维圆柱缸背后的涡流脱落及其振动之间的相位同步。利用这种方法，可以开发一个一维线性模型，相对于层流唤醒的极限循环吸引子，该模型准确地描述了高维，非线性流体流量的相动态及其对旋转，横向和纵向振动的响应的相位动力学。通过评估可以在模拟和实验中执行的圆柱扰动的唤醒动力学对脉冲扰动的相对响应和灵敏度来得出该基于阶段的模型。产生的模型又产生了气缸振动与唤醒之间相锁定所需的理论条件。我们此外表明，可以采用这种同步机制来稳定唤醒并随后减少阻力。我们还揭示了可以使用不同振动动作的同时发生的情况来促进或阻碍同步。这些发现为研究涡感诱导的人体振荡的研究提供了宝贵的见解，传单的空气动力学性能的增强或通过同步或对周期性唤醒的身体振荡运动来减轻结构振动。
Phase synchronization between the vortex shedding behind a two-dimensional circular cylinder and its vibrations is investigated using the phase-reduction analysis. Leveraging this approach enables the development of a one-dimensional, linear model with respect to the limit-cycle attractor of the laminar wake, which accurately describes the phase dynamics of the high-dimensional, nonlinear fluid flow and its response to rotational, transverse and longitudinal vibrations of the cylinder. This phase-based model is derived by assessing the phase-response and sensitivity of the wake dynamics to impulse perturbations of the cylinder, which can be performed in simulations and experiments. The resulting model in turn yields the theoretical conditions required for phase-locking between the cylinder vibrations and the wake. We furthermore show that this synchronization mechanism can be employed to stabilize the wake and subsequently reduce drag. We also uncover the circumstances under which the concurrent occurrence of different vibrational motions can be used to promote or impede synchronization. These findings provide valuable insights for the study of vortex-induced body oscillations, the enhancement of aerodynamic performance of flyers, or the mitigation of structural vibrations by synchronizing or desynchronizing the oscillatory motions of body to the periodic wake.
