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The properties of a hinged floating elastic sheet of finite length under compression are considered. Numerical continuation is used to compute spatially localized buckled states with many spatially localized folds. Both symmetric and…

Pattern Formation and Solitons · Physics 2019-04-24 Leonardo Gordillo , Edgar Knobloch

This paper analyzes the impact of parametric uncertainties on the dynamics of bistable energy harvesters, focusing on obtaining statistical information about how each parameter's variability affects the energy harvesting process. To model…

Dynamical Systems · Mathematics 2023-10-18 João Pedro Norenberg , Americo Cunha , Samuel da Silva , Paulo Sergio Varoto

This paper develops the equilibrium equations describing the flexoelectric effect in soft dielectrics under large deformations. Previous works have developed related theories using a flexoelectric coupling tensor of mixed material-spatial…

Computational Physics · Physics 2020-12-02 David Codony , Prakhar Gupta , Onofre Marco , Irene Arias

Asymmetric piezoelectric composites exhibit coupling between their macroscopic linear momentum and electric field, a coupling that does not appear at the microscopic scale. This electromomentum coupling constitutes an additional knob to…

Materials Science · Physics 2022-02-23 Majd Kosta , Alan Muhafra , René Pernas Salomón , Gal Shmuel , Oded Amir

Bearings are critical components in industrial machinery, yet their vulnerability to faults often leads to costly breakdowns. Conventional fault detection methods depend on continuous, high-frequency vibration sensing, digitising, and…

Computational Engineering, Finance, and Science · Computer Science 2025-03-11 P. Peralta-Braz , M. M. Alamdari , C. T. Chou , M. Hassan , E. Atroshchenko

This study presents the simulation, experimentation, and design considerations of a Poly(vinylidene fluoride co-trifluoroethylene)/ Polyethylene Terephthalate (PVDF-TrFe / PET), laser-cut, flexible piezoelectric energy harvester. It is…

Systems and Control · Electrical Eng. & Systems 2022-10-25 Berkay Kullukcu , Levent Beker

Crumpled paper or drapery patterns are everyday examples of how elastic sheets can respond to external forcing. In this Letter, we study experimentally a novel sort of forcing. We consider a circular flexible plate clamped at its center and…

Soft Condensed Matter · Physics 2013-08-26 Lionel Schouveiler , Christophe Eloy

The performance of a ring of linearly coupled, monostable nonlinear oscillators is optimized towards its goal of acting as energy harvester---through piezoelectric transduction---of mesoscopic fluctuations, which are modeled as…

Pattern Formation and Solitons · Physics 2017-03-21 J. I. Pena Rossello , H. S. Wio , R. R. Deza , P. Hanggi

Asymptotic-in-time feedback control of a panel interacting with an inviscid, subsonic flow is considered. The classical model [22] is given by a clamped nonlinear plate strongly coupled to a convected wave equation on the half space. In the…

Analysis of PDEs · Mathematics 2015-09-22 Irena Lasiecka , Justin T. Webster

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

Advances in the development of flexible piezoelectric and thermoelectric materials have provided an important avenue for the exploration of energy scavenging through the thermodynamic-coupling of orthogonal energy-scavenging modalities.…

Materials Science · Physics 2025-11-14 David Carroll , ChaoChao Dun

This paper studies the dynamics of a network of diffusively-coupled bistable systems. Under mild conditions and without requiring smoothness of the vector field, we analyze the network dynamics and show that the solutions converge globally…

Optimization and Control · Mathematics 2024-08-09 Gianluca Villani , Luca Scardovi

We investigate the wrinkling dynamics of an elastic filament immersed in a viscous fluid submitted to compression at a finite rate with experiments and by combining geometric nonlinearities, elasticity, and slender body theory. The drag…

Soft Condensed Matter · Physics 2017-08-30 Julien Chopin , Moumita Dasgupta , Arshad Kudrolli

We investigate the elastic energy stored in a filament pair as a function of applied twist by measuring torque under prescribed end-to-end separation conditions. We show that the torque increases rapidly to a peak with applied twist when…

Soft Condensed Matter · Physics 2024-03-12 Julien Chopin , Animesh Biswas , Arshad Kudrolli

In this article we discuss the modelling of elastic and electromagnetic wave propagation through one- and two-dimensional structured piezoelectric solids. Dispersion and the effect of piezoelectricity on the group velocity and positions of…

Materials Science · Physics 2017-01-25 Domenico Tallarico , Natalia V. Movchan , Alexander B. Movchan , Michele Camposaragna

This paper is the second part of a work devoted to the modelling of thin elastic plates with small, periodically distributed piezoelectric inclusions. We consider the equations of linear elasticity coupled with the electrostatic equation,…

Analysis of PDEs · Mathematics 2013-11-06 Eric Canon , Michel Lenczner

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

The ocean contains a substantial amount of energy, and the efficient harvesting of this energy holds significant importance. Drawing inspiration from the biomimicry of octopus tentacles, this study introduces a synergistic mechanism…

Fluid Dynamics · Physics 2024-11-26 Yongxi Wu , Hao Wu

We study the free energy and dynamics of a closed elastic filament (a one-dimensional curve in two dimensions) whose local internal state is specified by curvature, stretch, and a scalar density field representing, for example, the…

Soft Condensed Matter · Physics 2026-02-27 Hanchun Wang , Ronojoy Adhikari , Michael E. Cates

A methodology for handling block-to-block coupling of nonconforming, multiblock summation-by-parts finite difference methods is proposed. The coupling is based on the construction of projection operators that move a finite difference grid…

Numerical Analysis · Mathematics 2021-06-03 Jeremy E. Kozdon , Lucas C. Wilcox
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