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Vibration of a Parallel Plate-Type Structure in Two-dimensional Axial Flow

机译：二维轴流平行板型结构的振动

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Flow-induced vibrations of parallel plates in axial viscous flow were studied. Viscous flow theory was applied to describe the fluid-structure interaction. The fluid was supposed to be two-dimensional. The expressions of fluid velocities were created. The pressure grads were gotten with two-dimensional Navier-Stocks equation. Semi-analytical fluid pressures of a plate-fluid-plate system, a water trough, and a three-parallel plate-type structure were obtained. The added mass coefficients, added damping and added stiffness coefficients were determined. These analytical coefficients indicate a strong dependence on gap width and water viscous coefficient. The coupling effects of flow get stronger with the gap width being smaller. Computational results reveal that the frequencies of structure in flow decrease compared with the corresponding ones in air. The frequency values decrease with the increase of fluid velocities and will keep to a positive number. This is different from the results gotten by potential flow theory, which shows that the natural frequency decreases with the increase of velocity and will decrease to zero.
机译：研究了在轴向粘性流动中的平行板的流动诱导的平行振动。应用粘性流动理论来描述流体结构相互作用。液体应该是二维的。产生了流体速度的表达。压力梯度采用二维Navier-Stocks等式得到。获得板流体板系统，水槽和三平行板型结构的半分析流体压力。确定了添加的质量系数，增加阻尼和添加的刚度系数。这些分析系数表示对间隙宽度和水粘性系数的强烈依赖。流动的耦合效果使空隙宽度更小。计算结果表明，与空气中相应的相比，流量的结构频率降低。频率值随着流体速度的增加而降低，并且将保持正数。这与潜在流动理论产生的结果不同，结果表明自然频率随着速度的增加而降低，并且将减小为零。

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