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A quasistatic model for a horizontally loaded thin elastic composite at small strains is studied. The composite consists of two adjacent plates whose interface behaves in a cohesive fashion with respect to the slip of the two layers. We…

Analysis of PDEs · Mathematics 2023-03-13 Filippo Riva

This paper discusses the mutual interactions between a thin flexible aluminum plate and supersonic flow using two-dimensional (2D) numerical simulations. Calculations are performed using an open source library, SU2, that solves partial…

Fluid Dynamics · Physics 2025-01-16 Himakar Ganti , Luis Bravo , Anindya Ghosal , Prashant Khare

The control of energy dissipation in non-spherical particle contact remains an unresolved problem. Unlike spherical contact, where the interaction reduces to a one-dimensional normal oscillator, both the effective inertia and the effective…

Computational Physics · Physics 2026-04-21 Y. T. Feng

We consider flow-structure interactions modeled by a modified wave equation coupled at an interface with equations of nonlinear elasticity. Both subsonic and supersonic flow velocities are treated with Neumann type flow conditions, and a…

Analysis of PDEs · Mathematics 2013-11-08 Igor Chueshov , Irena Lasiecka , Justin T. Webster

Linear waves in bounded inviscid fluids do not generally form normal modes with regular eigenfunctions. Examples are provided by inertial waves in a rotating fluid contained in a spherical annulus, and internal gravity waves in a stratified…

Astrophysics · Physics 2016-08-30 Gordon I. Ogilvie

Falling liquid films become unstable due to inertial effects when the fluid layer is sufficiently thick or the slope sufficiently steep. This free surface flow of a single fluid layer has industrial applications including coating and heat…

In this paper we study a nonlinear transmission problem for a plate which consists of thermoelastic and isothermal parts. The problem generates a dynamical system in a suitable Hilbert space. Main result is the proof of the asymptotic…

Dynamical Systems · Mathematics 2010-03-18 Mykhailo Potomkin

An elastic foil interacting with a uniform flow with its trailing edge clamped, also known as the inverted foil, exhibits a wide range of complex self-induced flapping regimes such as large amplitude flapping (LAF), deformed and flipped…

Fluid Dynamics · Physics 2019-07-03 P. S. Gurugubelli , R. K. Jaiman

The dynamics of a cantilever plate clamped at its trailing edge and placed at a moderate angle ($\alpha \leq 30^{\circ}$) to a uniform flow are investigated experimentally and numerically, and a large experimental data set is provided. The…

Fluid Dynamics · Physics 2020-12-30 Cecilia Huertas-Cerdeira , Andres Goza , John E. Sader , Tim Colonius , Morteza Gharib

This paper describes a robust linear time-invariant output-feedback control strategy to reduce turbulent fluctuations, and therefore skin-friction drag, in wall-bounded turbulent fluid flows, that nonetheless gives performance guarantees in…

Fluid Dynamics · Physics 2016-03-25 Peter H. Heins , Bryn Ll. Jones , Ati S. Sharma

We study the mechanical contact between a deformable body with a wavy surface and a rigid flat taking into account pressurized fluid trapped in the interface. A finite element model is formulated for a general problem of trapped fluid for…

Fluid Dynamics · Physics 2021-03-23 Andrei G. Shvarts , Vladislav A. Yastrebov

We study the emergence of fluid flow in a closed chamber that is driven by dynamical deformations of an elastic sheet. The sheet is compressed between the sidewalls of the chamber and partitions it into two separate parts, each of which is…

Fluid Dynamics · Physics 2023-11-30 Kirill Goncharuk , Yuri Feldman , Oz Oshri

Response solutions are quasi-periodic ones with the same frequency as the forcing term. The present work is devoted to constructing response solutions for $d$-dimensional nonlinear plate models with nonlocal energy damping, which are…

Analysis of PDEs · Mathematics 2025-04-11 Bochao Chen , Yixian Gao , Zhaosheng Feng , Huiying Liu

Over the past few decades, the prospect of energy generation from an oscillating piezoelectric patch has gained attention. A typical setup of this kind would be a piezoelectric patch mounted on a flexible plate that is exhibiting…

Fluid Dynamics · Physics 2021-04-14 Aditya Karthik S. , Supradeepan K. , P. S. Gurugubelli

The apparently intractable shape of a fold in a compressed elastic film lying on a fluid substrate is found to have an exact solution. Such systems buckle at a nonzero wavevector set by the bending stiffness of the film and the weight of…

Soft Condensed Matter · Physics 2011-10-12 Haim Diamant , Thomas A. Witten

In this paper, we numerically investigate the propulsive performance of three-dimensional pitching flexible plates with varying flexibility and trailing edge shapes. To eliminate the effect of other geometric parameters, only the trailing…

Fluid Dynamics · Physics 2021-10-08 Guojun Li , Gael Kemp , Rajeev Kumar Jaiman , Boo Cheong Khoo

We study numerically and analytically the dynamics of particles on the Galton board, a regular lattice of disc scatters, in the presence of a constant external force and friction. It is shown that under certain conditions friction leads to…

Condensed Matter · Physics 2015-06-24 A. D. Chepelianskii , D. L. Shepelyansky

This article explores how a submerged elastic plate, clamped at one edge, interacts with water waves. Submerged elastic plates have been considered as potentially effective design elements in the development of wave energy harvesters but…

Fluid Dynamics · Physics 2025-04-08 Gatien Polly , Alexis Mérigaud , Benjamin Thiria , Ramiro Godoy-Diana

We demonstrate that chaos can be controlled using a multiplicative exponential feedback control. All three types of unstable orbits - unstable fixed points, limit cycles and chaotic trajectories can be stabilized using this control. The…

chao-dyn · Physics 2008-02-03 Sangeeta D. Gadre , V. S. Varma

The paper performs simulation of a rectangular plate excited by turbulent channel flow at friction Reynolds numbers of 180 and 400. The fluid-structure interaction is assumed to be one-way coupled, i.e, the fluid affects the solid and not…

Fluid Dynamics · Physics 2020-12-02 Sreevatsa Anantharamu , Krishnan Mahesh