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首页> 外文期刊>Journal of Fluids and Structures >Fluid-structure interaction of quasi-one-dimensional potential flow along channel bounded by symmetric cantilever beams
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Fluid-structure interaction of quasi-one-dimensional potential flow along channel bounded by symmetric cantilever beams

机译：沿对称悬臂梁边界的准一维势流的流固耦合

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摘要

An analysis of fluid-structure interaction is presented for incompressible and inviscid flow in a channel bounded by symmetric cantilever beams. Small deflections of the beams and no flows normal to the beams are assumed, thus allowing the governing equations to be defined using quasi-one-dimensional pressure and flow velocity distribution; pressure and velocity are assumed to be uniform across the cross section of the channel. The steady-state solution of the present problem is analytically derived by the linearization of the governing equations. The solution is shown to consist of infinite modes, which is verified by comparing with numerical solutions obtained by the finite element method. The nonlinear effect in the steady-state solution is modeled by numerical method to estimate the error due to linearization. However, only a few leading modes are physically significant owing to the effects of flow compressibility and viscosity. The analytic solutions of the fluid-structure interaction are also presented for dynamic problems assuming harmonic vibration. The steady-state and stationary initial conditions are used, and the equilibrium frequency is determined to minimize the residual error of Euler equation. The fluid-structure interaction is characterized by a phase difference and distortion of waveform shape in the time history of the boundary velocity.
机译：提出了一种流体-结构相互作用的分析，分析了对称悬臂梁为边界的通道中不可压缩和无粘性的流动。假定梁的挠度很小，并且没有垂直于梁的流动，因此可以使用准一维压力和流速分布来定义控制方程。假定通道的整个横截面的压力和速度均一。通过控制方程的线性化可以分析得出本问题的稳态解。该解决方案显示为由无限模式组成，通过与有限元方法获得的数值解决方案进行比较来验证该解决方案。用数值方法对稳态解中的非线性效应进行建模，以估计线性化引起的误差。但是，由于流动可压缩性和粘度的影响，只有少数几种主导模式在物理上很重要。还针对假设谐波振动的动力学问题，提出了流固耦合的解析解。使用稳态和稳态初始条件，并确定平衡频率以最小化Euler方程的残留误差。流体-结构相互作用的特征在于边界速度的时程中的相位差和波形形状的畸变。

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