Spanwise variations in membrane flutter dynamics

IF 3.4 2区 工程技术 Q1 ENGINEERING, MECHANICAL Journal of Fluids and Structures Pub Date : 2024-10-14 DOI:10.1016/j.jfluidstructs.2024.104194
Christiana Mavroyiakoumou , Silas Alben
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Abstract

We study the large-amplitude flutter of rectangular membranes in 3-D inviscid flows. The membranes’ deformations vary significantly in both the chordwise and spanwise directions. Many previous studies used 2D flow models and neglected spanwise variations, so here we focus on cases with significant spanwise nonuniformity. We determine when such cases occur and how the dynamics vary over the parameter space of membrane mass and pretension for two sets of boundary conditions and two values of both the Poisson ratio and the membrane aspect ratio. With spanwise symmetric and asymmetric initial perturbations, the motions differ for long times but eventually reach the same steady state in most cases.
At large times, spanwise symmetric and asymmetric oscillations are seen, with the latter more common. Oscillations are often in the form of “side-to-side” and other standing wave motions along the span, as well as traveling wave motions, particularly with free side-edges. Motions are generally nonperiodic and more spatially complex with a large membrane mass, and sometimes periodic at small-to-moderate membrane mass. A large Poisson ratio gives somewhat smoother spatial and temporal features in the dynamics at a given pretension. Increasing the aspect ratio makes the deflection more uniform along the span. With different chordwise and spanwise pretensions we find motions that are qualitatively similar to cases with isotropic pretensions between the anisotropic values.
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膜扑动态的跨度变化
我们研究了矩形膜片在三维不粘性流中的大振幅飘动。膜片的变形在弦向和跨向都有显著变化。以前的许多研究使用二维流动模型,忽略了跨度方向的变化,因此我们在此重点研究跨度方向不均匀性显著的情况。我们确定了何时会出现这种情况,以及在两组边界条件和泊松比和膜长宽比的两个值下,膜质量和预拉伸参数空间的动态变化情况。在跨度对称和不对称的初始扰动下,运动在很长一段时间内是不同的,但在大多数情况下最终会达到相同的稳定状态。振荡的形式通常是沿跨度方向的 "侧向 "运动和其他驻波运动,以及行波运动,尤其是自由侧边的行波运动。当膜质量较大时,运动通常是非周期性的,而且在空间上更为复杂;当膜质量较小或中等时,运动有时是周期性的。泊松比越大,给定预拉力下的动态时空特征越平滑。增大纵横比会使挠度沿跨度方向更加均匀。在不同的弦向和跨度预拉力下,我们发现运动在各向异性值之间与各向同性预拉力的情况在性质上相似。
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来源期刊
Journal of Fluids and Structures
Journal of Fluids and Structures 工程技术-工程:机械
CiteScore
6.90
自引率
8.30%
发文量
173
审稿时长
65 days
期刊介绍: The Journal of Fluids and Structures serves as a focal point and a forum for the exchange of ideas, for the many kinds of specialists and practitioners concerned with fluid–structure interactions and the dynamics of systems related thereto, in any field. One of its aims is to foster the cross–fertilization of ideas, methods and techniques in the various disciplines involved. The journal publishes papers that present original and significant contributions on all aspects of the mechanical interactions between fluids and solids, regardless of scale.
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