一个数字方法被开发在一个 fluid-flexible-structure 系统模仿联合现象。明确地,一个二维的面板方法被用来计算水动力学力量,一个形式的重叠方法被采用解决一根 Eulerian 横梁的管理方程。在一致流动的一根单个灵活横梁的稳定性边界被计算并且与以前的结果到相比验证代码的有效性。为 S=1.0 的一个单身者和二灵活身体的导致流动的 flapping, U *=7.0 被调查。为一根单个横梁的导致流动的颤动,摆动频率接近伸臂的第二等的自然频率。为二根平行灵活横梁,当时,他们在阶段震荡非维的分开距离 H < 0.25。什么时候 H > 0.25, out-of-phase 模式发生与一在频率的 jump。什么时候 H > 1,每根横梁的在二横梁 decouples 之间的相互作用和频率和力量回复到在一样的流动与一根单个横梁联系的行为。二辆双人脚踏车的夫妇拍动的模拟当时,灵活结构证明对在上游的身体起作用的 drag 被减少为下游地拖当结构仔细被安排时,显然被增加。在现在的工作获得的数字结果是与早试验性的结果一致的品质上。
A numerical method is developed to simulate the coupled phenomena in a fluid-flexible-structure system. Specifically, a two-dimensional panel method is used to calculate the hydrodynamic forces and a modal superposition method is adopted to solve the governing equation of an Eulerian beam. The stability boundary of a single flexible beam in a uniform flow is calculated and compared with previous results to verify the validity of the code. The flow-induced flapping of a single and two flexible bodies for S=1.0, U*=7.0 are investigated. For the flow-induced vibration of a single beam, the oscillation frequency is close to the secondary natural frequency of a cantilever. For two parallel flexible beams, they oscillate in phase when the non-dimensional separating distance H〈0.25. When H〉0.25, the out-of-phase mode occurs with a jump in frequency. When H〉1, the interaction between the two beams decouples and the frequency and forces of each beam revert to behavior associated with a single beam in the same flow. Simulations of coupled-flapping of two tandem flexible structures proved that the drag acting on the upstream body is reduced while for that downstream drag is obviously increased when the structures are closely arranged. The numerical results obtained in the present work are qualitatively consistent with early experimental results.