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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…

Analysis of PDEs · Mathematics 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…

Chaotic Dynamics · Physics 2024-10-14 Filipe Soares , José Antunes , Christophe Vergez , Vincent Debut , Bruno Cochelin , Fabrice Silva

We examine the stability of a soft dielectric plate deformed by the coupled effects of a mechanical pre-stress applied on its lateral faces and an electric field applied through its thickness under charge control. The electric field is…

Soft Condensed Matter · Physics 2020-03-17 Hannah Conroy Broderick , Michele Righi , Michel Destrade , Ray W. Ogden

We study the response of a large array of coupled nonlinear oscillators to parametric excitation, motivated by the growing interest in the nonlinear dynamics of microelectromechanical and nanoelectromechanical systems (MEMS and NEMS). Using…

Other Condensed Matter · Physics 2009-04-09 Yaron Bromberg , M. C. Cross , Ron Lifshitz

The electrostatic pull-in instability (EPI), within the framework of the nanoelectromechanical systems (NEMS) has been shown as a robust and versatile method for characterizing mechanical properties of nanocantilevers. This paper aims to…

Mesoscale and Nanoscale Physics · Physics 2016-11-08 Hamed Sadeghian

We use a coarse-grained molecular dynamics model to study the electrophoretic behaviour of flexible polyelectrolyte chains. We first characterize the static properties of the model with respect to the chain length, the polyelectrolyte…

Soft Condensed Matter · Physics 2008-12-16 Kai Grass , Christian Holm

The paper addresses a common assumption of elastoplastic modeling: that the recoverable, elastic strain increment is unaffected by alterations of the elastic moduli that accompany loading. This assumption is found to be false for a granular…

Soft Condensed Matter · Physics 2018-12-20 Matthew R. Kuhn , Ali Daouadji

Cellular elastomeric metamaterials are interesting for various applications, e.g. soft robotics, as they may exhibit multiple microstructural pattern transformations, each with its characteristic mechanical behavior. Numerical literature…

Soft Condensed Matter · Physics 2020-05-13 S. Maraghechi , J. P. M. Hoefnagels , R. H. J. Peerlings , O. Rokoš , M. G. D. Geers

In the field of soft dielectric elastomers, the notion electrostriction indicates the dependency of the permittivity on strain. The present paper is aimed at investigating the effects of electrostriction onto the stability behaviour of…

Soft Condensed Matter · Physics 2013-10-02 M. Gei , S. Colonnelli , R. Springhetti

We investigate a cantilevered elastic beam subjected to harmonic rotational motion. In the rotating frame, the beam experiences centrifugal and Euler fictitious forces, with negligible Coriolis effects. We validate a reduced-order…

Soft Condensed Matter · Physics 2026-02-25 Gilad Yakir , Eduardo Gutierrez-Prieto , Pedro M. Reis

This paper studies the aeroelasticity of a stiffened cantilever plate using composite material and novel structural layouts. A comprehensive parametric study is conducted to determine the influence of different design parameters on the…

Fluid Dynamics · Physics 2023-11-03 Bara'ah Fraihat , Rafic Ajaj

The role of electrostatics on the interfacial properties of polyelectrolyte microgels has been discussed controversially in the literature. It is not yet clear if, or how, Coulomb interactions affect their behavior under interfacial…

The variational static formulation contributed in [International Journal of Engineering Science 143, 73-91 (2019)] is generalized in the present paper to model axial and flexural dynamic behaviors of elastic nano-beams by nonlocal strain…

Euler-Bernoulli beam theory is widely used to successfully predict the linear dynamics of micro- and nano-cantilever beams. However, its capacity to characterize the nonlinear dynamics of these devices has not yet been rigorously assessed,…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 L. G. Villanueva , R. B. Karabalin , M. H. Matheny , D. Chi , J. E. Sader , M. L. Roukes

In this work, we show that a recently proposed method for experimental nonlinear modal analysis based on the extended periodic motion concept is well suited to extract modal properties for strongly nonlinear systems (i.e. in the presence of…

Systems and Control · Electrical Eng. & Systems 2020-11-18 Maren Scheel , Tobias Weigele , Malte Krack

This research is on the nonlinear dynamics of a two-sided electrostatically actuated capacitive micro-beam. The microresonator is composed of silicon and PZT as a piezoelectric material. PZT is functionally distributed along the height of…

Mesoscale and Nanoscale Physics · Physics 2016-11-15 Meysam T. Chorsi , Saber Azizi , Firooz Bakhtiari-Nejad

The nonlinear mechanics of a flexible elastic rod constrained at its edges by a pair of sliding sleeves is analyzed. The planar equilibrium configurations of this variable-length elastica are found to have shape defined only by the…

Soft Condensed Matter · Physics 2024-09-19 Alessandro Cazzolli , Francesco Dal Corso

Curved beams are basic structural components of Nano-Electro-Mechanical-Sistems (NEMS) whose design requires appropriate modelling of scale effects. In the present paper, the size-dependent static behaviour of curved elastic nano-beams is…

Applied Physics · Physics 2020-09-22 Raffaele Barretta , Francesco Marotti de Sciarra , Marzia Sara Vaccaro

A variational approach is employed to find stationary solutions to a free boundary problem modeling an idealized electrostatically actuated MEMS device made of an elastic plate coated with a thin dielectric film and suspended above a rigid…

Analysis of PDEs · Mathematics 2014-09-10 Philippe Laurencot , Christoph Walker

Quite recently I have proposed a nonperturbative dynamical effective field model (DEFM) to quantitatively describe the dynamics of interacting ferrofluids. Its predictions compare very well with the results from simulations. In this paper I…

Soft Condensed Matter · Physics 2020-11-18 Angbo Fang