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Localized vibrations, arising from nonlinearities or symmetry breaking, pose a challenge in engineering, as the resulting high-amplitude vibrations may result in component failure due to fatigue. During operation, the emergence of…

Dynamical Systems · Mathematics 2025-05-16 Charlotte Geier , Norbert Hoffmann

Many modern engineering structures exhibit nonlinear vibration. Characterizing such vibrations efficiently is critical to optimizing designs for reliability and performance. For linear systems, steady-state vibration occurs only at the…

Dynamical Systems · Mathematics 2024-05-02 Justin H. Porter , Matthew R. W. Brake

Flutter flight test involves the evaluation of the airframes aeroelastic stability by applying artificial excitation on the aircraft lifting surfaces. The subsequent responses are captured and analyzed to extract the frequencies and damping…

Signal Processing · Electrical Eng. & Systems 2024-08-05 Arpan Das , Pier Marzocca , Giuliano Coppotelli , Oleg Levinski , Paul Taylor

Limit cycle oscillations are phenomena arising in nonlinear dynamical systems and characterized by periodic, locally-stable, and self-sustained state trajectories. Systems controlled in a closed loop along a periodic trajectory can also be…

Systems and Control · Electrical Eng. & Systems 2023-03-20 Defne E. Ozan , Mingzhou Yin , Andrea Iannelli , Roy S. Smith

Spin noise spectroscopy is emerging as a powerful technique for studying the dynamics of various spin systems also beyond their thermal equilibrium and linear response. Here, we study spin fluctuations of room-temperature neutral atoms in a…

Atomic Physics · Physics 2021-07-21 V. Guarrera , R. Gartman , G. Bevilacqua , W. Chalupczak

In this paper, a purely measurement-based method is proposed to estimate the dynamic system state matrix by applying the regression theorem of the multivariate Ornstein-Uhlenbeck process. The proposed method employs a recursive algorithm to…

Signal Processing · Electrical Eng. & Systems 2019-05-29 Hao Sheng , Xiaozhe Wang

In this study the magnetization phenomenon has been investigated as a behavior of interacting elementary moments ensemble, with the help of Ising model [1] in the frame of non-extensive statistical mechanics. To investigate the physical…

Statistical Mechanics · Physics 2007-05-23 M. Karabekirogullari , F. Buyukkilic , D. Demirhan

Dynamic speckle method is an effective tool for estimation of speed of processes. Speed distribution is encoded in a map built by statistical pointwise processing of time-correlated speckle patterns. For industrial inspection,the outdoor…

A method is presented for tracing the locus of a specific peak in the frequency response under variation of a parameter. It is applicable to periodic, steady-state vibrations of harmonically forced nonlinear mechanical systems. It operates…

Computational Engineering, Finance, and Science · Computer Science 2021-01-01 Alwin Förster , Malte Krack

In glasses and other disordered materials, measurements of the vibrational density of states reveal that an excess number of long-wavelength (low-frequency) modes, as compared to the Debye scaling seen in crystalline materials, is…

Soft Condensed Matter · Physics 2012-09-17 Eli T. Owens , Karen E. Daniels

Experimental Modal Analysis (EMA) has been widely used to identify structural dynamic properties, including natural frequencies, damping ratios, and mode shapes, for structural integrity assessment. The Poly-reference Least Squares Complex…

Systems and Control · Electrical Eng. & Systems 2026-03-24 Yanxin Si , Bayu Jayawardhana , J. Nathan Kutz , Yunpeng Zhu , Liangliang Cheng

In this study, we consider the experimentally-obtained, periodically-forced response of a nonlinear structure in the presence of process noise. Control-based continuation is used to measure both the stable and unstable periodic solutions…

Dynamical Systems · Mathematics 2021-02-17 Sandor Beregi , David A. W. Barton , Djamel Rezgui , Simon A. Neild

Operational modal analysis (OMA) aims at identifying the modal properties of a structure based on response data of the structure excited by ambient sources. Modal parameters of the ambient vibration structures consist of natural…

Systems and Control · Electrical Eng. & Systems 2020-10-20 M. R. Davoodi , B. Navayi neya , S. A. Mostafavian , S. R. Nabavian , GH. R. Jahangiry

This study presents an integrated methodology for fault detection in wind turbine blades using 3D-printed scaled models, finite element simulations, experimental modal analysis, and machine learning techniques. A scaled model of the NREL…

Machine Learning · Computer Science 2025-05-12 Luis Miguel Esquivel-Sancho , Maryam Ghandchi Tehrani , Mauricio Muñoz-Arias , Mahmoud Askari

The actions of cut applied to the elastic system generate relative tool/part displacements, which induce a temperature increasing in the components of the machine tools, its environment, the system-tools-part and generate vibrations. The…

Classical Physics · Physics 2009-09-29 Constantin Ispas , Claudiu-Florinel Bisu , Alain Gérard , Doru Bardac

The problem of stability in the machining processes is an important task. It is strictly connected with the final quality of a product. In this paper we consider vibrations of a tool-workpiece system in a straight turning process induced by…

Chaotic Dynamics · Physics 2015-06-26 J. Lipski , G. Litak , R. Rusinek , K. Szabelski , A. Teter , J. Warminski , K. Zaleski

The study deals with a rotor-stator contact inducing vibration in rotating machinery. A numerical rotor-stator system, including a non-linear bearing with Hertz contact and clearance is considered. To determine the non-linear responses of…

General Physics · Physics 2012-09-28 Jean-Jacques Sinou , Fabrice Thouverez

Self-sustained musical instruments (bowed string, woodwind and brass instruments) can be modeled by nonlinear lumped dynamical systems. Among these instruments, flutes and flue organ pipes present the particularity to be modeled as a delay…

Classical Physics · Physics 2013-11-12 Soizic Terrien , Christophe Vergez , Benoît Fabre

Encoding a sequence of observations is an essential task with many applications. The encoding can become highly efficient when the observations are generated by a dynamical system. A dynamical system imposes regularities on the observations…

Machine Learning · Statistics 2018-05-29 Arash Mehrjou , Friedrich Solowjow , Sebastian Trimpe , Bernhard Schölkopf

This work presents an original experimental device conceived to characterise the viscoelastic properties of wood. Classically, the dynamic mechanical analysis of wood is performed using a commercial apparatus like a DMA (Dynamic Mechanical…

Classical Physics · Physics 2009-06-22 Vincent Placet , Joëlle Passard , Patrick Perré
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