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In this work a design is proposed for an active, permanent magnet based, self-propelled magnetic bearing i.e. levitating motor having the following features : (a) simple winding structure, (b) high load supporting capacity, (c) no…

Classical Physics · Physics 2017-02-15 B Shayak

Dynamical magnetic levitation has attracted broad interest in the realm of physics and engineering. The stability analysis of such system is of great significance for practical applications. In this work, we investigate the stable magnetic…

Classical Physics · Physics 2025-07-11 Mingjun Fan , Jinyu Chen , Yongquan Ji , Long Li , Chichuan Ma , Yu-Han Ma

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

One of the methods to find the natural frequencies of rotating systems is the application of the transfer matrix method. In this method the rotor is modeled as several elements along the shaft which have their own mass and moment of…

This article deals with the stability analysis of a drilling system which is modelled as a coupled ordinary differential equation / string equation. The string is damped at the two boundaries but leading to a stable open-loop system. The…

Optimization and Control · Mathematics 2019-04-22 Matthieu Barreau , Alexandre Seuret , Frédéric Gouaisbaut

This paper presents the work devoted to the study of the operation of a miniaturized membrane Stirling engine. Indeed, such an engine relies on the dynamic coupling of the motion of two membranes to achieve a prime mover Stirling…

Classical Physics · Physics 2013-01-22 Fabien Formosa

The behavior of active matter under confinement poses significant challenges due to the intricate coupling between dynamics near boundaries and those in the bulk. A defining feature of active matter systems is that a substantial portion of…

Analysis of PDEs · Mathematics 2025-08-25 Leonid Berlyand , Spencer Dang , Pierre-Emmanuel Jabin , Mykhailo Potomkin

In wire bearings the rolling process occurs on raceways machined on steel wires, and the rings are made of light materials such as aluminium. This particular architecture provides both weight and inertia savings, but also significantly…

Systems and Control · Electrical Eng. & Systems 2024-11-07 Inigo Martin , Iker Heras , Josu Aguirrebeitia , Mikel Abasolo , Ibai Coria

We propose a two-dimensional model for the organization of stabilized microtubules driven by molecular motors in an unconfined geometry. In this model two kinds of dynamics are competing. The first one is purely diffusive, with an…

Statistical Mechanics · Physics 2019-08-17 B. Bassetti , M. Cosentino Lagomarsino , P. Jona

This paper provides a comprehensive analysis of stability and long-time behaviour of a coupled system constituted by two rigid bodies separated by a thin layer of lubricant. We show that permanent rotations of the whole system, with the…

Dynamical Systems · Mathematics 2023-08-08 Evan Arsenault , Giusy Mazzone

A fundamental problem that the bearing rigidity theory studies is to determine when a framework can be uniquely determined up to a translation and a scaling factor by its inter-neighbor bearings. While many previous works focused on the…

Systems and Control · Computer Science 2016-11-15 Shiyu Zhao , Daniel Zelazo

This work features the optimization of a Permanent Magnet Synchronous Motor using 2D nonlinear simulations in an Isogeometric Analysis framework. The rotor and stator designs are optimized for both geometric parameters and surface shapes…

Optimization and Control · Mathematics 2026-05-19 Michael Wiesheu , Theodor Komann , Melina Merkel , Sebastian Schöps , Stefan Ulbrich , Idoia Cortes Garcia

A minimalist approach to the linear stability problem in fluid dynamics is developed that ensures efficiency by utilizing only the essential elements required to find the eigenvalues for given boundary conditions. It is shown that the…

High Energy Astrophysical Phenomena · Physics 2024-05-06 Nektarios Vlahakis

Accurate and robust positioning of rotor axle is essential for efficient and safe operation of high-speed rotational machines with active magnetic bearings. This study presents a cascaded nonlinear control strategy for vertical axial…

Systems and Control · Electrical Eng. & Systems 2023-07-27 Dimitrios Papageorgiou , Ilmar Santos

The stability of the orbital motion of two long cylindrical magnets interacting exclusively with magnetic forces is described. To carry out analytical studies a model of magnetically interacting symmetric tops [1] is used. The model was…

Mathematical Physics · Physics 2011-01-18 Stanislav Zub

This article describes the discrete-time modeling approach for interturn short circuits in interior permanent magnet synchronous motors with concentrated windings that facilitate model-based fault diagnostics and mitigation. A…

Systems and Control · Electrical Eng. & Systems 2025-10-02 Lukas Zezula , Matus Kozovsky , Ludek Buchta , Petr Blaha

Bearingless motors use a single stator assembly to apply torque and magnetic suspension forces on the rotor, making these machines compact with frictionless operation and thus well suited to high-speed applications. One major challenge that…

Systems and Control · Electrical Eng. & Systems 2022-02-10 Laura Homiller , Lei Zhou

Rotors operating in confined flows, or blockage, are commonly encountered in wind and water tunnels, as well as in shallow or dense deployments of hydrokinetic turbines. Confinement induces a streamwise pressure gradient in the channel,…

Fluid Dynamics · Physics 2026-03-10 I. M. L. Upfal , K. J. McClure , K. S. Heck , S. Pieris , J. W. Kurelek , M. Hultmark , M. F. Howland

This work focuses on the stability analysis of an Euler Bernoulli cantilever beam with a tip mass at the free end, subject to a follower force. This can serve as a viable model for analysis of elastic instability occurring due to…

Classical Physics · Physics 2023-11-20 Premjit Saha , Tarunraj Singh

Harmonic stator-rotor coupling offers a promising approach for the interconnection of rotating subsystems in the simulation of electric machines. This paper studies the stability of discretization schemes based on harmonic coupling in the…

Numerical Analysis · Mathematics 2022-03-21 Herbert Egger , Mané Harutyunyan , Melina Merkel , Sebastian Schöps
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