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This study investigates the complex nonlinear coupling of magnetic gears arranged in proximity on a plane. Acknowledging the rich array of geometric and electromagnetic parameters involved, we initiate our exploration with a simplified…

Classical Physics · Physics 2024-10-11 Tianchi Liu

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

Other Condensed Matter · Physics 2007-05-23 Yaron Bromberg

To go beyond the simple model for the fold as two flexible surfaces or faces linked by a crease that behaves as an elastic hinge, we carefully shape and anneal a crease within a polymer sheet and study its mechanical response. First, we…

Soft Condensed Matter · Physics 2018-08-16 Théo Jules , Frédéric Lechenault , Mokhtar Adda-Bedia

The mechanical behavior of any semiconductor microstructure is inevitably coupled to light. In the case of micro mechanical resonators (MEMs), carrier generation can affect the quality factor of the resonance through electron-phonon…

Applied Physics · Physics 2025-06-13 Ayelén Prado , Diego Perez-Morelo , Leonardo Salazar Alarcón , Hernán Pastoriza

We consider the stochastic dynamics of an array of two closely spaced atomic force microscope cantilevers in a viscous fluid for use as a possible biomolecule sensor. The cantilevers are not driven externally, as is common in applications…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. T. Clark , M. R. Paul

We study theoretically the influence of the underlying domain microstructure on the electromechanical properties of ferroelectrics. Our calculations are based on a continuum approach that incorporates the long-range elastic and…

Materials Science · Physics 2007-05-23 Rajeev Ahluwalia , Turab Lookman , Avadh Saxena , Wenwu Cao

This work is a theoretical investigation of the stability of the non-linear behavior of an oscillating tip-cantilever system used in dynamic force microscopy. Stability criterions are derived that may help to a better understanding of the…

Atomic and Molecular Clusters · Physics 2016-08-16 Laurent Nony , Rodolphe Boisgard , Jean-Pierre Aimé

We study the over-damped dynamics of individual one-dimensional elastic filaments subjected to a chiral active force which propels each point of the filament at a fixed angle relative to the tangent vector of the filament at that point.…

Soft Condensed Matter · Physics 2026-03-09 Chanania Steinbock , Daniel A. Beller

The dynamics of a free boundary problem for electrostatically actuated microelectromechanical systems (MEMS) is investigated. The model couples the electric potential to the deformation of the membrane, the deflection of the membrane being…

Analysis of PDEs · Mathematics 2013-02-26 Joachim Escher , Philippe Laurencot , Christoph Walker

We consider a beam model representing the transverse deflections of a one dimensional elastic structure immersed in an axial fluid flow. The model includes a nonlinear elastic restoring force, with damping and non-conservative terms…

Analysis of PDEs · Mathematics 2019-04-22 Jason Howell , Katelynn Huneycutt , Justin T. Webster , Spencer Wilder

This paper is a theoretical and a numerical investigation of the stability of a tip-cantilever system used in noncontact atomic force microscopy (NC-AFM) when it oscillates close to a surface. No additional dissipative force is considered.…

Atomic and Molecular Clusters · Physics 2016-08-16 Gérard Couturier , Laurent Nony , Rodolphe Boisgard , Jean-Pierre Aimé

We propose an extended kinematics of nominally elastic continuum solids allowing one to describe their mechanical interaction with micro-scale loading devices. The main new ingredient is the concept of a micro-displacement tensor which…

Soft Condensed Matter · Physics 2025-10-21 Giuseppe Zurlo , Lev Truskinovsky

Dynamical stability is a prerequisite for control and functioning of desired nano-machines. We utilize the Caldeira-Leggett master equation to investigate dynamical stability of molecular cogwheels modeled as a rigid, propeller-shaped…

Mesoscale and Nanoscale Physics · Physics 2020-01-29 Igor Petrović , Jasmina Jeknić-Dugić , Momir Arsenijević , Miroljub Dugić

Ferrogels and magnetoelastomers are composite materials obtained by embedding magnetic particles of mesoscopic size in a crosslinked polymeric matrix. They combine the reversible elastic deformability of polymeric materials with the high…

A layer of dielectric elastomer can be voltage actuated to behave as actuators, but needs to avoid the electromechanical instability of excessively thin down accompanied with electric breakdown. We develop a true method to analyze the…

Soft Condensed Matter · Physics 2016-06-22 Fengxian Xin , Tian Jian Lu

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…

Fluid Dynamics · Physics 2011-01-14 Michael T. Morris-Thomas , Sverre Steen

Current model-free adaptive control (MFAC) method has no been analysed in linear system and is not straightforward for the practical engineers to understand accurately. This correspondence presents a family of MFAC based on a modified…

Systems and Control · Electrical Eng. & Systems 2020-08-25 Feilong Zhang

An experimental arrangement and a set of experiments are developed to generate empirical evidence of the effect of noise on a rotating, macro-scale cantilever structure. The experiment is a controlled representation of a rotating machinery…

Applied Physics · Physics 2023-06-01 Lautaro Cilenti , Maria Cameron , Balakumar Balachandran

The nonlinear interactions between flexural and torsional modes of a microcantilever are experimentally studied. The coupling is demonstrated by measuring the frequency response of one mode, which is sensitive to the motion of another…

Mesoscale and Nanoscale Physics · Physics 2012-07-17 H. J. R. Westra , H. S. J. van der Zant , W. J. Venstra

Piezoresponse Force Microscopy is a powerful but delicate nanoscale technique that measures the mechanical response resulting from the application of a highly localized electric field. Though mechanical response is normally due to…

Materials Science · Physics 2016-10-07 Andres Gomez , Mariona Coll , Teresa Puig , Xavier Obradors