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Nonlinear elastic effects play an important role in the dynamics of microelectromechanical systems (MEMS). Duffing oscillator is widely used as an archetypical model of mechanical resonators with nonlinear elastic behavior. In contrast,…

Other Condensed Matter · Physics 2009-11-12 S. Zaitsev , O. Shtempluck , E. Buks , O. Gottlieb

Micro-Electro-Mechanical Systems (MEMS) normally have fixed or moving structures (plates or array of thin beams) with cross-sections of the order of microns and lengths of the order of tens or hundreds of microns. Electrostatic forces play…

Computational Physics · Physics 2007-05-23 N. Majumdar , S. Mukhopadhyay

In the presence of ATP, molecular motors generate active force dipoles that drive suspensions of protein filaments far from thermodynamic equilibrium, leading to exotic dynamics and pattern formation. Microscopic modelling can help to…

Biological Physics · Physics 2015-06-17 D. A. Head , W. J. Briels , G. Gompper

A rectangular plate of dielectric elastomer exhibiting gradients of material properties through its thickness will deform inhomogeneously when a potential difference is applied to compliant electrodes on its major surfaces, because each…

Soft Condensed Matter · Physics 2020-12-08 Yipin Su , Ray W. Ogden , Michel Destrade

Active filaments, such as microtubules with attached cargo-carrying motor proteins, are important dynamic structures for fluid transport in and around living cells. The mathematical models of active filaments appearing in the literature…

Fluid Dynamics · Physics 2025-08-19 Ilteber R. Ozdemir , Bethany Clarke , Yongyun Hwang , Eric E. Keaveny

In this paper, we study the behaviour of a microcantilever beam under electrostatic actuation using finite difference method. This problem has a lot of applications in MEMS based devices like accelerometers, switches and others. In this…

Other Computer Science · Computer Science 2007-11-29 W. Faris , H. Mohammed , M. M. Abdalla , C. -H. Ling

Microphase separation of membrane components is thought to play an important role in many physiological processes, from cell signaling to endocytosis and cellular trafficking. Here, we study how variations in the membrane composition can be…

Subcellular Processes · Quantitative Biology 2015-05-20 Pierre Sens , Matthew S. Turner

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

Nonlinear dynamics of a two-side electro-statically actuated capacitive micro-beam is studied. The piezoelectric actuation leads to the generation of an axial force along the length of the micro-beam and this is used as a tuning tool to…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 Meysam T. Chorsi

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 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…

Fluid Dynamics · Physics 2025-11-04 Andreu Benavent-Claró

Accurate and integrable control of different flows within microfluidic channels is crucial to further development of lab-on-a-chip and fully integrated adaptable structures. Here we introduce a flexible microactuator that buckles at a high…

Fluid Dynamics · Physics 2016-04-20 Behrouz Tavakol , Douglas P. Holmes

Despite many attempts, ordered equilibrium microphases have yet to be obtained in experimental colloidal suspensions. The recent computation of the equilibrium phase diagram of a microscopic, particle-based microphase former [Zhuang et al.,…

Soft Condensed Matter · Physics 2017-09-07 Yuan Zhuang , Patrick Charbonneau

A thin flat rectangular plate supported on its edges and subjected to in-plane loading exhibits stable post-buckling behaviour. However, the introduction of a nonlinear (softening) elastic foundation may cause the response to become…

Pattern Formation and Solitons · Physics 2016-03-18 M. Khurram Wadee , David J. B. Lloyd , Andrew P. Bassom

The sticking of a soft polystyrene colloidal particle to a planar glass plate was studied by a microrheological technique using an optical tweezer to trap the particle and a piezoelectric-stage to position the plate and to sinusoidally…

Soft Condensed Matter · Physics 2009-08-27 Prerna Sharma , Shankar Ghosh , S. Bhattacharya

In this work, the Cosserat formulation of geometrically exact beam dynamics is extended by adding the electric potential as an additional degree of freedom to account for the electromechanical coupling in the Dielectric Elastomer Actuators…

Computational Engineering, Finance, and Science · Computer Science 2021-12-01 Dengpeng Huang , Sigrid Leyendecker

Electrostatic and Casimir interactions limit the range of positional stability of electrostatically-actuated or capacitively-coupled mechanical devices. We investigate this range experimentally for a generic system consisting of a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. Buks , M. L. Roukes

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 compute effective energies of thin bilayer structures composed by soft nematic elastic-liquid crystals in various geometrical regimes and functional configurations. Our focus is on order-strain interaction in elastic foundations composed…

Analysis of PDEs · Mathematics 2021-03-12 Pierluigi Cesana , Andres A Leon Baldelli

We consider the dynamics of overdamped MEMS devices undergoing the pull-in instability. Numerous previous experiments and numerical simulations have shown a significant increase in the pull-in time under DC voltages close to the pull-in…

Applied Physics · Physics 2017-12-04 Michael Gomez , Derek E. Moulton , Dominic Vella