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This paper showed how a simple lumped parameter model of a circuit can yield correct quantum mechanical predictions of its behavior, even when there is quantum entanglement between components of that circuit. It addresses an important…

量子物理 · 物理学 2017-12-21 Paul J. Werbos

A mathematical model of a simply supported Euler-Bernoulli beam with attached spring-mass system is considered. The model is controlled by distributed piezo actuators and lumped force. We address the issue of asymptotic behavior of…

最优化与控制 · 数学 2022-08-09 Julia Kalosha , Alexander Zuyev

We present a mathematical and numerical analysis on a control model for the time evolution of a multi-layered piezoelectric cantilever with tip mass and moment of inertia, as developed by Kugi and Thull [31]. This closed-loop control system…

偏微分方程分析 · 数学 2015-07-10 Maja Miletic , Anton Arnold

This paper studies robust output tracking and disturbance rejection for boundary controlled infinite-dimensional port--Hamiltonian systems including second order models such as the Euler--Bernoulli beam. The control design is achieved using…

最优化与控制 · 数学 2023-03-01 Lassi Paunonen , Yann Le Gorrec , Héctor Ramírez

Quasi two-dimensional Coulomb systems have drawn widespread interest. The reduced symmetry of these systems leads to complex collective behaviors, yet simultaneously poses significant challenges for particle-based simulations. In this…

数值分析 · 数学 2025-07-15 Zecheng Gan , Xuanzhao Gao , Jiuyang Liang , Zhenli Xu

The performance evaluation of a potentially unstable slope involves two key components: the initiation of the slope failure and the post-failure runout. The Finite Element Method (FEM) excels at modeling the initiation of instability but…

地球物理 · 物理学 2022-06-16 Brent Sordo , Ellen Rathje , Krishna Kumar

The paper develops the Loewner approach for data-based modeling of a linear distributed-parameter system. This approach is applied to a controlled flexible beam model coupled with a spring-mass system. The original dynamical system is…

最优化与控制 · 数学 2023-08-08 A. Zuyev , I. V. Gosea

This paper presents a new modelling approach to fully dynamic electromagnetic current-controlled piezoelectric composite models that require a combined Lagrangian. To model the mechanical domains, we consider two different beam theories,…

材料科学 · 物理学 2024-10-28 Matthijs C. de Jong , Jacquelien M. A. Scherpen

This work focuses on the frequency-domain modeling of a control system with a flexible beam and a rigid body. A simply supported beam is equipped with a spring-loaded control actuator and possesses local damping effect. Using Hamilton's…

最优化与控制 · 数学 2026-05-06 Alexander Zuyev , Julia Kalosha

This work investigates the global exponential stabilization of a degenerate Euler-Bernoulli beam subjected to a non uniform axial force and a delayed feedback control. First, we address the well-posedness of the system by constructing an…

偏微分方程分析 · 数学 2026-02-23 Ben Bakary Junior Siriki , Adama Coulibaly

We present the analytical formulation and the finite element solution of a fractional-order nonlocal continuum model of a Euler-Bernoulli beam. Employing consistent definitions for the fractional-order kinematic relations, the governing…

数值分析 · 数学 2021-02-11 Sansit Patnaik , Sai Sidhardh , Fabio Semperlotti

The present work attempts to present a consistent and efficient approach to piezoelectric laminated beams. The influence of hypotheses on three-dimensional sectional deformations and stress distributions on the estimate of the beam…

数学物理 · 物理学 2010-09-28 C. Maurini , F. dell'Isola , J. Pouget

This Paper deals design and simulation of electrostatically actuated clamped clamped beam and cantilever beam using finite element analysis method (FEM). A detailed study and performance analysis for various bias voltages is provided in…

计算物理 · 物理学 2010-02-12 D. Mohana Geetha , M. Madheswaran

The pressure and internal energy of an ultracold plasma in a state of quasi-equilibrium are evaluated using classical molecular dynamics simulations. Coulomb collapse is avoided by modeling electron-ion interactions using an attractive…

等离子体物理 · 物理学 2017-04-26 Sanat Kumar Tiwari , Nathaniel R. Shaffer , Scott D. Baalrud

This paper focuses on the study of the Filament Based Lamellipodium Model (FBLM) and the corresponding Finite Element Method (FEM) from a numerical point of view. We study fundamental numerical properties of the FEM and justify the further…

细胞行为 · 定量生物学 2018-01-30 Nikolaos Sfakianakis , Aaron Brunk

In molecular dynamics, penalized overdamped Langevin dynamics are used to model the motion of a set of particles that follow constraints up to a parameter $\varepsilon$. The most used schemes for simulating these dynamics are the Euler…

数值分析 · 数学 2022-10-10 Adrien Laurent

Roboticists have been seeking to address this situation in recent years through the use of soft robots. Unfortunately, identifying appropriate models for the complete analysis and investigation of soft robots for design and control purposes…

机器人学 · 计算机科学 2022-05-24 Soheil Habibian , Benjamin B. Wheatley , Suehye Bae , Joon Shin , Keith W. Buffinton

We compare the predicted phase behaviour of lead (Pb) using three different interatomic potential models, including an embedded atom method (EAM), a modified embedded atom method (MEAM), and a neural network-based machine-learned model in…

Constant potential methods (CPM) enable computationally efficient simulations of the solid-liquid interface at conducting electrodes in molecular dynamics (MD). They have been successfully used, for example, to realistically model the…

化学物理 · 物理学 2022-07-29 Ludwig J. V. Ahrens-Iwers , Mathijs Janssen , Shern R. Tee , Robert H. Meißner

A numerically efficient framework that takes into account the effect of the Coulomb collision operator at arbitrary collisionalities is introduced. Such model is based on the expansion of the distribution function on a Hermite-Laguerre…

等离子体物理 · 物理学 2019-04-18 R. Jorge , P. Ricci , N. F. Loureiro
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