The tandem cylinders immersed in an oncoming flow undergo violent flow-induced vibration (FIV). The cylinders with short spans, in the specific conditions of airflow and mass damping, experience the galloping-like but self-limited vibration. It promotes a coupling instability, controlled by the shear layers and wake vortices. The peculiar behavior of FIV for tandem cylinders is the interference between transverse galloping and vortex-induced vibration (VIV), which lacks a modeling approach through classical theories. Based on the quasi-steady assumptions, a mathematical model including two semicoupled structural oscillators and a reduced wake oscillator was established to simulate the vibration responses. A nonlinear aerodynamic damping coefficient and an empirical interfered force were introduced to the model, revealing the unexplored interference mechanism between two cylinders with short spans. The model with calibrated parameters can reproduce the nonlinear and bifurcated vibration responses of cylinders, providing a quantitative agreement with the experimental data. Although the model only works for high Scruton numbers and loses high fidelity in predicting the vibration amplitudes of the downstream cylinder in several cases, the vital velocity thresholds, amplitude-velocity trends and maximum amplitudes can be precisely obtained. This model is conducive to preacquiring the FIV responses of tandem industrial structures, including steel stacks, bladeless wind turbines, low-power energy-harvesting devices, etc.

沉浸在迎面而来的流动中的串联气缸会发生剧烈的流动引起的振动 (FIV)。短跨度的气缸，在气流和质量阻尼的特定条件下，会经历类似飞驰但自限性的振动。它促进了由剪切层和尾涡控制的耦合不稳定性。串联气缸的 FIV 的特殊行为是横向飞驰和涡激振动 (VIV) 之间的干扰，这缺乏经典理论的建模方法。在准稳态假设的基础上，建立了包括两个半耦合结构振子和一个减少尾流振子的数学模型来模拟振动响应。在模型中引入了非线性气动阻尼系数和经验干扰力，揭示了两个短跨距圆柱体之间未探索的干涉机制。带有校准参数的模型可以再现圆柱体的非线性和分叉振动响应，提供与实验数据的定量一致性。尽管该模型仅适用于高 Scruton 数并且在几种情况下在预测下游圆柱体的振幅时失去了高保真度，但可以精确地获得重要的速度阈值、振幅-速度趋势和最大振幅。该模型有利于预获取串联工业结构的FIV响应，包括钢烟囱、无叶风力发电机、低功率能量收集装置等。带有校准参数的模型可以再现圆柱体的非线性和分叉振动响应，提供与实验数据的定量一致性。尽管该模型仅适用于高 Scruton 数并且在几种情况下在预测下游圆柱体的振幅时失去了高保真度，但可以精确地获得重要的速度阈值、振幅-速度趋势和最大振幅。该模型有利于预获取串联工业结构的FIV响应，包括钢烟囱、无叶风力发电机、低功率能量收集装置等。带有校准参数的模型可以再现圆柱体的非线性和分叉振动响应，提供与实验数据的定量一致性。尽管该模型仅适用于高 Scruton 数并且在几种情况下在预测下游圆柱体的振幅时失去了高保真度，但可以精确地获得重要的速度阈值、振幅-速度趋势和最大振幅。该模型有利于预获取串联工业结构的FIV响应，包括钢烟囱、无叶风力发电机、低功率能量收集装置等。尽管该模型仅适用于高 Scruton 数并且在几种情况下在预测下游圆柱体的振幅时失去了高保真度，但可以精确地获得重要的速度阈值、振幅-速度趋势和最大振幅。该模型有利于预获取串联工业结构的FIV响应，包括钢烟囱、无叶风力发电机、低功率能量收集装置等。尽管该模型仅适用于高 Scruton 数并且在几种情况下在预测下游圆柱体的振幅时失去了高保真度，但可以精确地获得重要的速度阈值、振幅-速度趋势和最大振幅。该模型有利于预获取串联工业结构的FIV响应，包括钢烟囱、无叶风力发电机、低功率能量收集装置等。