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We present a methodology that extends invariant manifold theory to a class of autonomous piecewise linear systems with nonsmoothness at the equilibrium, providing a framework for model order reduction in mechanical structures with compliant…

Dynamical Systems · Mathematics 2026-01-16 A. Yassine Karoui , Remco I. Leine

The study of magnetic phenomena in low-dimensional systems has largely explored after the discovery of two-dimensional (2D) magnetic materials, such as CrI3 and Cr2Ge2Te6 in 2017. These materials presents intrinsic magnetic order,…

General Physics · Physics 2025-04-08 Chee Kian Yap , Arun Kumar Singh

A method for model reduction in nonlinear ODE systems is demonstrated through computational examples. The method does not require an implicit separation of time-scales in the fine dynamics to be effective. From the computational standpoint,…

Mathematical Physics · Physics 2007-05-23 Aarti Sawant , Amit Acharya

Although extensively presented as one of the most promising silicon-based micromachined sensor adapted to real-time measurements in liquid media, the cantilevered structure still suffers from its quality factor (Q) dramatic dependence on…

Soft Condensed Matter · Physics 2009-06-22 Cédric Ayela , Liviu Nicu

In this paper, simultaneous estimation of 3D position and attitude of a single coil using a set of anchors, with known position and magnetic dipole, is analyzed. Effect of noise and geometric properties of the anchors' constellation is…

Signal Processing · Electrical Eng. & Systems 2017-10-06 Antonio Moschitta , Alessio De Angelis , Marco Dionigi , Paolo Carbone

A frequency domain model of multimode circular microresonators for filter applications in integrated optics is investigated. Analytical basis modes of 2D bent waveguides or curved interfaces are combined with modes of straight channels in a…

Mathematical Physics · Physics 2007-05-23 K. R. Hiremath , R. Stoffer , M. Hammer

Design of robots at the small scale is a trial-and-error based process, which is costly and time-consuming. There are few dynamic simulation tools available to accurately predict the motion or performance of untethered microrobots as they…

Robotics · Computer Science 2020-10-08 Jiayin Xie , Chenghao Bi , David J. Cappelleri , Nilanjan Chakraborty

A double pendulum subject to external torques is used as a model to study the stability of a planar manipulator with two links and two rotational driven joints. The hamiltonian equations of motion and the fixed points (stationary solutions)…

Robotics · Computer Science 2007-05-23 G. A. Monerat , E. V. Correa Silva , A. G. Cyrino

Quadcopters are increasingly used for applications ranging from hobby to industrial products and services. This paper serves as a tutorial on the design, simulation, implementation, and experimental outdoor testing of digital quadcopter…

Systems and Control · Electrical Eng. & Systems 2021-06-03 Juan Paredes , Prashin Sharma , Brian Ha , Manuel Lanchares , Ella Atkins , Peter Gaskell , Ilya Kolmanovsky

In this paper a novel aerial manipulation system is proposed. The mechanical structure of the system, the number of thrusters and their geometry will be derived from technical optimization problems. The aforementioned problems are defined…

Robotics · Computer Science 2015-02-27 Alexandros Nikou , Georgios C. Gavridis , Kostas J. Kyriakopoulos

In this paper, an iterative method for real-time hybrid testing (RTHT) is proposed. The method seeks to iteratively balance the interface conditions between the physical and numerical substructures by controlling the periodic demand of the…

Systems and Control · Electrical Eng. & Systems 2024-06-13 Alessandra Vizzaccaro , Sandor Beregi , David A. W. Barton , Simon A. Neild

Automatic draping of carbon-fiber prepreg plies for the aerospace industry is a promising technique for lowering the manufacturing costs and to this end, a thorough in-process quality control is crucial. In this paper, out-of-plane defects…

Computational Engineering, Finance, and Science · Computer Science 2021-03-10 Christian Krogh , Johnny Jakobsen , Jakob Wilm

We present a framework for deformable object manipulation that interleaves planning and control, enabling complex manipulation tasks without relying on high-fidelity modeling or simulation. The key question we address is when should we use…

Robotics · Computer Science 2020-08-31 Dale McConachie , Andrew Dobson , Mengyao Ruan , Dmitry Berenson

A key question in the analysis of discrete models for material defects, such as vortices in spin systems and superconductors or isolated dislocations in metals, is whether information on boundary energy for a domain can be sufficient for…

Analysis of PDEs · Mathematics 2024-08-06 Adriana Garroni , Mircea Petrache , Emanuele Spadaro

In this paper, we model the planar motion of a quadcopter, and develop a linear model of the same. We perform stability analysis of the open loop system and develop a PD controller for its position control. We compare the closed loop…

Systems and Control · Electrical Eng. & Systems 2021-06-30 Praveen Venkatesh , Sanket Vadhvana , Varun Jain

Machine learning techniques are used to predict theoretical constraints such as unitarity and boundedness from below in extensions of the Standard Model. This approach has proven effective for models incorporating additional SU(2) scalar…

High Energy Physics - Phenomenology · Physics 2025-12-19 Darius Jurčiukonis

Interatomic-force measurements are regularly performed using frequency-modulation atomic force microscopy. This requires conversion of the observed shift in the resonant frequency of a force-sensing cantilever, to the actual force…

Applied Physics · Physics 2020-12-02 John Elie Sader

We study the dynamics of MEMS microbeams undergoing electrostatic pull-in. At DC voltages close to the pull-in voltage, experiments and numerical simulations have reported `bottleneck' behaviour in which the transient dynamics slow down…

Applied Physics · Physics 2018-08-17 Michael Gomez , Dominic Vella , Derek E. Moulton

The results of computer simulation of particle motion over the plane with randomly distributed scatters are presented. They are used to analyse the influence of scattering anisotropy on the negative magnetoresistance due to weak…

Condensed Matter · Physics 2007-05-23 A. V. Germanenko , V. A. Larionova , G. M. Minkov , S. A. Negashev

This work aims to describe a mathematical model and a numerical method to simulate a thin anisotropic composite membrane moving and deforming in 3D space under a dynamic load of an arbitrary time and space profile. The model and the method…

Numerical Analysis · Mathematics 2020-07-24 Vitalii Aksenov , Alexey Vasyukov , Igor Petrov