The dynamic bifurcation analysis of the nonlinear oscillation of a simple fluidelastic structure is presented. This structure is a cantilever beam in a flow, and it behaves as a nonlinear system without potential energy. The structure demonstrates complex flutter behaviour that varies with the controlled flow velocity. We observe the flutter behaviour in a flow experiment, and the motion is characterised with this present model based on chaos theory of discrete dynamics. We can readily find the solution of the simple system, with which it is possible to create a map of the complex flutter behaviour.

中文翻译：

---

复杂的颤振相互作用问题的离散动态平衡模型

提出了一种简单的流体弹性结构非线性振动的动态分岔分析。这种结构是流中的悬臂梁，它的行为就像一个没有势能的非线性系统。该结构显示出复杂的颤动行为，随控制的流速而变化。我们在流动实验中观察颤振行为，并使用基于离散动力学混沌理论的本模型对运动进行了表征。我们很容易找到简单系统的解决方案，利用它可以创建复杂的抖动行为图。