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We consider a cantilevered (clamped-free) beam in an axial potential flow. Certain flow velocities may bring about a bounded-response instability in the structure, termed {\em flutter}. As a preliminary analysis, we employ the theory of…

偏微分方程分析 · 数学 2017-07-25 Jason Howell , Daniel Toundykov , Justin T. Webster

A cantilever beam under axial flow, confined or not, is known to develop self-sustained oscillations at sufficiently large flow velocities. In recent decades, the analysis of this archetypal system has been mostly pursued under linearized…

混沌动力学 · 物理学 2024-10-14 Filipe Soares , José Antunes , Christophe Vergez , Vincent Debut , Bruno Cochelin , Fabrice Silva

A pinned-free beam in axial fluid flow, subjected to feedback-based actuation at the pinned end, is investigated. The actuation may be a moment or a prescribed angle and it is proportional to the state (curvature, slope, or displacement) of…

流体动力学 · 物理学 2023-02-07 Sanders Aspelund , Ranjan Mukherjee , Aren Hellum

We address the flutter instability of a flexible plate immersed in an axial flow. This instability is similar to flag flutter and results from the competition between destabilising pressure forces and stabilising bending stiffness. In…

流体动力学 · 物理学 2015-03-13 Christophe Eloy , Romain Lagrange , Claire Souilliez , Lionel Schouveiler

This work focuses on the stability analysis of an Euler Bernoulli cantilever beam with a tip mass at the free end, subject to a follower force. This can serve as a viable model for analysis of elastic instability occurring due to…

经典物理 · 物理学 2023-11-20 Premjit Saha , Tarunraj Singh

In the finite element analysis with fast decoupled time integration scheme for viscoelastic fluid (the Leonov model) flow, we investigate strong nonlinear behavior in 2D creeping contraction flow. The algorithm is applicable in the whole…

流体动力学 · 物理学 2011-11-02 Youngdon Kwon

A tube conveying a large amount of fluid with a free outlet does not sit still. We construct and analyze a nonlinear evolution equation describing such phenomena. Two types of boundary conditions at the inlet are considered, one for which…

混沌动力学 · 物理学 2007-05-23 S. Shima , T. Mizuguchi

The linear instability of a beam tensioned by its own weight is considered. It is shown that for long beams, in the sense of an adequate dimensionless parameter, the characteristics of the instability caused by a follower force do not…

材料科学 · 物理学 2015-01-21 Emmanuel de Langre , Olivier Doaré

It is shown that a compound elastic structure, which displays a dynamic instability, may be designed as the union (or 'fusion') of two structures which are stable when separately analyzed. The compound elastic structure has two degrees of…

经典物理 · 物理学 2023-01-16 Marco Rossi , Andrea Piccolroaz , Davide Bigoni

The aim of this work is to study the dynamics and stability of soft shape-morphing configurations and specifically the modes of interaction between the front and rear airfoil segments. Initially we present several steady-state solutions,…

流体动力学 · 物理学 2018-05-08 Netanel Hassan , Shai B. Elbaz , Amir D. Gat

This paper explores the fluid-elastic response of a cantilevered flexible sheet in the presence of uniform airflow. The leading edge of the sheet is clamped, while at the trailing edge, in-plane tension is applied to provide additional…

流体动力学 · 物理学 2011-01-14 Michael T. Morris-Thomas , Sverre Steen

A variety of models describing the interaction between flows and oscillating structures are discussed. The main aim is to analyze conditions under which structural instability (flutter) induced by a fluid flow can be suppressed or…

偏微分方程分析 · 数学 2015-12-24 Igor Chueshov , Earl H. Dowell , Irena Lasiecka , Justin T. Webster

The large deflections of cantilevered beams and plates are modeled and discussed. Traditional nonlinear elastic models (e.g., that of von Karman) employ elastic restoring forces based on the effect of stretching on bending, and these are…

偏微分方程分析 · 数学 2022-05-25 Maria Deliyianni , Kevin McHugh , Justin T. Webster , Earl Dowell

We study the buckling of a clamped beam immersed in a creeping flow within a rectangular channel. Via a combination of precision experiments, simulations, and theoretical modeling, we show how the instability depends on a pressure feedback…

软凝聚态物质 · 物理学 2024-07-19 Hemanshul Garg , Pier Giuseppe Ledda , Jon Skov Pedersen , Matteo Pezzulla

Nonlinear dynamics of fluid conveying pipe, rotating with constant velocity about its longitudinal axis is analyzed. Considering boundary conditions and internal damping, the nonlinear equation of motion is derived, and it is discretized…

混沌动力学 · 物理学 2024-10-31 Ali Fasihi , Grzegorz Kudra , Maryam Ghandchi Tehrani , Jan Awrejcewicz

Hydrodynamic instability of a gravity-driven flow down an inclined plane is investigated in the presence of a floating elastic plate which rests on the top surface of the flow. Linear instability of the system with respect to infinitesimal…

流体动力学 · 物理学 2020-03-17 Siluvai Antony Selvan , Sukhendu Ghosh , Harekrushna Behera , Michael H. Meylan

We study flow driven through a finite-length planar rigid channel by a fixed upstream flux, where a segment of one wall is replaced by a pre-stressed elastic beam subject to uniform external pressure. The steady and unsteady systems are…

流体动力学 · 物理学 2021-11-24 Danyang Wang , Xiaoyu Luo , Peter S. Stewart

The inherent instability of oscillatory flows presents a significant challenge in microfluidics, impairing performance in different applications from particle detachemnt to organs-on-a-chip. Trapped air inside a microfluidic system…

流体动力学 · 物理学 2025-11-04 Andreu Benavent-Claró

This paper examines the linearized stability of plane Couette flow for stress-power law fluids, which exhibit non-monotonic stress-strain rate behavior. The constitutive model is derived from a thermodynamic framework using a non-convex…

流体动力学 · 物理学 2026-04-08 Krishna Kaushik Yanamundra , Lorenzo Fusi

In this paper, we discuss the dynamic modeling of fluid-filled straw-like elements consisting of serially interconnected elastic frusta with both axisymmetric and antisymmetric degrees of freedom, assuming planar motion. Under appropriate…

应用物理 · 物理学 2022-02-28 Dotan Ilssar , Michael Pukshansky , Yizhar Or , Amir D. Gat
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