论文标题
振幅滞后和同步区域：使用自由强制的范德波尔振荡器预测涡旋诱导的振动
Amplitude hysteresis and the synchronization region: Prediction of vortex-induced vibration using a freely forced van der Pol oscillator
论文作者
论文摘要
涡旋诱导的振动是一种非线性现象，可损害建筑物或产生能量。在这里，流体和结构之间的同步范围是重要参数。使用耦合的van der Pol和线性振荡器系统，我们得出了同步范围的分析，闭合形式的表达，这是流体脱落频率的函数，或者也称为锁定。我们的新定义是对早期同步定义的改进，因为它包括耗散的效果。没有IT磁滞。发现具有滞后的流体速度范围是非单调的，而绝对同步区域则单调增加。在设计结构阻尼器或能量收割机时，我们提出的同步定义可以是有用的工具，但是对于所有可以使用类似耦合方程式建模的系统的通用解决方案。
Vortex-induced vibration is a nonlinear phenomenon that can damage buildings or produce energy. Here, the range of synchronization between fluid and structure is an important parameter. Using a coupled van der Pol and linear oscillator system, we derived an analytic, closed-form expression for the synchronization range as a function of fluid shedding frequency, or lock-in as it's also called. Our new definition is an improvement to an earlier synchronization definition as it includes the effect of dissipation; without it hysteresis is missing. The fluid speed range with hysteresis is found to be non-monotonic with forcing strength while the region of absolute synchronization increases monotonically. Our proposed synchronization definition can be a useful tool when designing structural dampers or energy harvesters but is a general solution for all systems that can be modeled with similarly coupled equations.
