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AERO ELASTIC FLUTTER AT THE FREE EDGES OF UNI-AXIALLY TENSIONED WEBS AND THIN FILMS

机译:单轴张紧网的自由边缘处的气动弹性颤振和薄膜

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摘要

Aero elastic flutter may play an important role in the breakage of thin membrane-like structures (a.k.a. webs) found in paper-handling, textile, sheet-metal and magnetic tapes industry. In this article, we examine the aero elastic stability of a web modeled as a uni-axially tensioned (along the machine direction) low aspect ratio Kirchhoff plate, which is subject to a fluid flow in the cross machine direction. Panel methods based on the distribution of singularity solutions (sources and doublets) on the surface of the web are used to numerically solve the problem of 3D unsteady potential flow surrounding the web. The equation of motion of the plate coupled to a fluid flow is discretized by using Galerkin's method. The discretization is performed in the configuration space formulation of the gyroscopic eigenvalue problem. The linear stability of this reduced order system is investigated. The onset of flutter instability as a function of base fluid flow in the cross machine direction is studied. The effects of fluid coupling on the frequencies and modes of oscillations of the web are also studied.
机译:空气弹性颤动可能在纸张处理,纺织,金属板和磁带行业中发现的薄膜状结构(也称为网)的断裂中起重要作用。在本文中,我们研究了以单轴张紧(沿机器方向)低长宽比的Kirchhoff板建模的腹板的气动弹性稳定性,该板在机器的横向方向上呈流体流动。基于奇异性溶液(源和双峰)在纤维网表面分布的面板方法用于数值地解决围绕纤维网的3D非稳态势流问题。使用Galerkin方法离散耦合到流体的板的运动方程。离散化是在陀螺特征值问题的配置空间公式中执行的。研究了该降阶系统的线性稳定性。研究了颤动不稳定性的发生与机器横向运动的基础流体流量的关系。还研究了流体耦合对幅材的频率和振荡模式的影响。

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