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Modeling of a Fluid-structure coupled system using port-Hamiltonian formulation

机译：基于哈密顿方程的流固耦合系统建模

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The interactions between fluid and structural dynamics are an important subject of study in several engineering applications. In airplanes, for example, these coupled vibrations can lead to structural fatigue, noise and even instability. At ISAE, we have an experimental device that consists of a cantilevered plate with a fluid tank near the free tip. This device is being used for model validation and active control studies. This work uses the port-Hamiltonian systems formulation for modeling this experimental device. Structural dynamics and fluid dynamics are independently modeled as infinite-dimensional systems. The plate is approximated as a beam. Shallow water equations are used for representing the fluid in the moving tank. The global system is coupled and spatial discretization of the infinite-dimensional systems using mixed finite-element method allows to obtain a finite-dimensional system that is still Hamiltonian.
机译：流体动力学与结构动力学之间的相互作用是一些工程应用中重要的研究主题。例如，在飞机上，这些耦合的振动会导致结构疲劳，噪音甚至不稳定。在ISAE，我们有一个实验装置，该装置由悬臂板和靠近自由尖端的储液罐组成。该设备正在用于模型验证和主动控制研究。这项工作使用了Port-Hamiltonian系统公式来对该实验设备进行建模。结构动力学和流体动力学独立地建模为无限维系统。该板近似为梁。浅水方程式用于表示移动罐中的流体。全局系统是耦合的，并且使用混合有限元方法对无穷维系统进行空间离散可以得到仍然是哈密顿量的有限维系统。

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