The paper is devoted to the study of hydrodynamics around long cantilever beams that perform flexural vibrations in first natural mode in a viscous incompressible fluid. The study is based on the numerical three-dimensional simulation of flows induced by vibrations. The fluid motion is described by the full non-stationary system of Navier–Stokes equations and the oscillation profile of the beam is determined according to the Euler–Bernoulli theory. In the framework of the research, the analysis of the changes of hydrodynamics around the beams that are caused by an increase of the relative length, dimensionless frequency and amplitude of oscillations is made, in particular, the applicability of a quasi-two-dimensional theory is considered. According to the results of the study, the dynamic processes of vortex formation in a wide range of vibration frequencies and amplitudes are described, the map of the observed flow regimes is constructed, and analysis of the dependence of hydrodynamic forces on the vibration parameters is carried out.

本文致力于研究在悬臂梁周围的流体动力学，该悬臂梁在粘性不可压缩流体中以第一自然模式执行弯曲振动。该研究基于振动引起的流动的三维三维模拟。流体运动由Navier–Stokes方程的完全非平稳系统描述，梁的振动曲线根据Euler–Bernoulli理论确定。在研究的框架内，分析了由于梁的相对长度，无量纲频率和振幅的增加引起的梁周围水动力变化，特别是准二维理论的适用性。被认为。根据研究结果，