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Existing smart composite piezoelectric beam models in the literature mostly ignore the electro-magnetic interactions and adopt the linear elasticity theory. However, these interactions substantially change the controllability and…

Optimization and Control · Mathematics 2018-03-21 Ahmet Ozkan Ozer

Nanophotonic technologies inherently rely on tailoring light-matter interactions through the excitation and interference of deeply confined optical resonances. However, existing concepts in optical mode engineering remain heuristic and are…

We propose an energy-based framework to analyze the statics and dynamics of a ferroelectric negative capacitance-hybrid Microelectromechanical System (MEMS) actuator. A mapping function that relates the charge on the ferroelectric to…

Systems and Control · Electrical Eng. & Systems 2022-06-28 Raghuram Tattamangalam Raman , Jeffin Shibu , Revathy Padmanabhan , Arvind Ajoy

In this work we develop a simple equivalent circuit model (ECM) that predicts the spectral response of a lumped-element loaded single patterned layer reflective metasurface. The proposed ECM maintains accuracy across varying design…

Mesogenic dimers in the twist-bend nematic phase exhibit much higher flexoelectric polarization than in their uniform nematic phase. In order to theoretically investigate this data, we extend the symmetry based linear elastic theory of the…

Soft Condensed Matter · Physics 2019-07-16 I. Lelidis , E. Kume

As a model of coupled nano-electromechanical resonantors we study two nonlinear driven oscillators with an arbitrary coupling strength between them. Analytical expressions are derived for the oscillation amplitudes as a function of the…

Chaotic Dynamics · Physics 2015-05-28 L. Chotorlishvili , A. Ugulava , G. Mchedlishvili , A. Komnik , S. Wimberger , J. Berakdar

An efficient reflective elastic metasurface with tunable focusing point is proposed. The metasurface is based on electric resonators embedded in a stretchable elastic substrate. The focal length is controlled by mean of the stretching…

Optics · Physics 2017-09-13 Yair Zárate , Ilya V. Shadrivov , David A. Powell

Efficient design and performance of electrically actuated MEMS devices necessitate accurate estimation of electrostatic forces on the MEMS structures. This in turn requires thorough study of the capacitance of the structures and finally the…

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

Graphene-based hyperbolic metamaterials have been predicted to transport evanescent fields with extraordinarily large vacuum wave-vectors. It is particularly at much higher wave vector values that the commonly employed descriptional models…

Applied Physics · Physics 2019-03-27 Illya I. Tarasenko , A. Freddie Page , Joachim M. Hamm , Ortwin Hess

The evolution problem for a membrane based model of an electrostatically actuated microelectromechanical system (MEMS) is studied. The model describes the dynamics of the membrane displacement and the electric potential. The latter is a…

Analysis of PDEs · Mathematics 2012-11-27 Joachim Escher , Philippe Laurencot , Christoph Walker

A theoretical description of the weakly nonlinear and mode-dependent dynamics of a nanoscale beam that is under intrinsic tension is developed. A full analysis of the dynamic range of the beam over a wide range of conditions is presented.…

Applied Physics · Physics 2025-08-08 N. W. Welles , M. Ma , K. L. Ekinci , M. R. Paul

Relativistic charged-particle beams which generate intense longitudinal fields in accelerating structures also inherently couple to transverse modes. The effects of this coupling may lead to beam break-up instability, and thus must be…

Finite element modeling (FEM) is a critical tool in the design and analysis of piezoelectric devices, offering detailed numerical simulations that guide various applications. While traditionally applied to eigenfrequency analysis and…

Robotics · Computer Science 2024-09-18 Zhanyue Zhao , Yang Wang , Charles Bales , Yiwei Jiang , Gregory Fischer

Post buckling problem of a large deformed beam is analyzed using canonical dual finite element method (CD-FEM). The feature of this method is to choose correctly the canonical dual stress so that the original non-convex potential energy…

Computational Engineering, Finance, and Science · Computer Science 2013-02-19 Kun Cai , David Y. Gao , Qing H. Qin

Microelectromechanical systems (MEMS) technologies are developing rapidly with increasing study of the design, fabrication and commercialization of microscale systems and devices. Accurate knowledge on the mechanical behaviors of thin film…

Other Computer Science · Computer Science 2008-02-22 Ming-Tzer Lin , K. -S. Shiu , Chi-Jia Tong

We consider the well-posedness of a model for a flow-structure interaction. This model describes the dynamics of an elastic flexible plate with clamped boundary conditions immersed in a supersonic flow. A perturbed wave equation describes…

Analysis of PDEs · Mathematics 2012-06-01 Igor Chueshov , Irena Lasiecka , Justin T. Webster

In the present work, a machine learning based constitutive model for electro-mechanically coupled material behavior at finite deformations is proposed. Using different sets of invariants as inputs, an internal energy density is formulated…

Computational Engineering, Finance, and Science · Computer Science 2022-08-30 Dominik K. Klein , Rogelio Ortigosa , Jesús Martínez-Frutos , Oliver Weeger

A dielectric elastomer whose edges are held fixed will buckle, given sufficient applied voltage, resulting in a nontrivial out-of-plane deformation. We study this situation numerically using a nonlinear elastic model which decouples two of…

Applied Physics · Physics 2018-02-12 Jacob Langham , Hadrien Bense , Dwight Barkley

We explore the undamped response of step-voltage driven parallel plates and fixed-fixed microbeams. We consider a third order correction in the parallel plate system as a reduced order system to model mid-plane stretching in fixed-fixed…

Applied Physics · Physics 2024-01-12 Ganesh Iyer , MM Joglekar , Dnyanesh Pawaskar

Real-time simulation of elastic structures is essential in many applications, from computer-guided surgical interventions to interactive design in mechanical engineering. The Finite Element Method is often used as the numerical method of…

Machine Learning · Computer Science 2021-09-21 Alban Odot , Ryadh Haferssas , Stéphane Cotin