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Under the excitation of strings, the wooden structure of string instruments is generally assumed to undergo linear vibrations. As an alternative to the direct measurement of the distortion rate at several vibration levels and frequencies,…

Classical Physics · Physics 2012-10-16 Kerem Ege , Marc Rébillat , Xavier Boutillon

The concept of nonlinear modes is useful for the dynamical characterization of nonlinear mechanical systems. While efficient and broadly applicable methods are now available for the computation of nonlinear modes, nonlinear modal testing is…

Systems and Control · Electrical Eng. & Systems 2020-11-18 Maren Scheel , Simon Peter , Remco I. Leine , Malte Krack

In recent years, a new method for experimental nonlinear modal analysis has been developed, which is based on the extended periodic motion concept. The method is well suited to experimentally obtain amplitude-dependent modal properties…

Systems and Control · Electrical Eng. & Systems 2021-08-16 Maren Scheel

Preload loss in bolted joints results in alterations of the stiffness, damping, and nonlinearity of the structure, but existing monitoring techniques for rail-vehicle systems are often not capable of combining controlled shaker tests and…

Audio and Speech Processing · Electrical Eng. & Systems 2026-05-29 Berkay Kullukcu , Robin Pianowski , Dina Hannebauer

We present a novel approach for parameter-free modeling of the structural, dynamical and electronic properties of non-crystalline materials based on ab-initio Molecular Dynamics, improved signal processing technique and computer…

Materials Science · Physics 2009-11-13 I. M. Kupchak , F. Gaspari , A. I. Shkrebtii , J. Perz

We consider two cantilevered beams undergoing frictional impacts at the free end. The beams are designed to be of similar geometry so that they have distinct but close natural frequencies. Under harmonic base excitation near the primary…

Systems and Control · Electrical Eng. & Systems 2022-07-05 Carlo Monjaraz-Tec , Lukas Kohlmann , Stefan Schwarz , Andreas Hartung , Johann Gross , Malte Krack

Predicting the response of nonlinear dynamical systems subject to random, broadband excitation is important across a range of scientific disciplines, such as structural dynamics and neuroscience. Building data-driven models requires…

Machine Learning · Computer Science 2024-09-27 Joseph Massingham , Ole Nielsen , Tore Butlin

The damage detection problem in mechanical systems, using vibration measurements, is commonly called Structural Health Monitoring (SHM). Many tools are able to detect damages by changes in the vibration pattern, mainly, when damages induce…

Computational Engineering, Finance, and Science · Computer Science 2024-09-25 Luis Gustavo Giacon Villani , Samuel da Silva , Americo Cunha

In this work, we show that a recently proposed method for experimental nonlinear modal analysis based on the extended periodic motion concept is well suited to extract modal properties for strongly nonlinear systems (i.e. in the presence of…

Systems and Control · Electrical Eng. & Systems 2020-11-18 Maren Scheel , Tobias Weigele , Malte Krack

In scientific inquiry of small scale energy and transition events, the effect of an observer on the measurement can be substantial. Similarly, the methods of observation can create entirely different understandings of the system behavior,…

Optics · Physics 2018-03-13 Michael C. Kobold

This paper presents a new numerical procedure for evaluating the vibration frequencies and mode shapes of masonry buildings in the presence of cracks. The algorithm has been implemented within the NOSA-ITACA code, which models masonry as a…

Computational Engineering, Finance, and Science · Computer Science 2016-11-03 Maria Girardi , Cristina Padovani , Daniele Pellegrini

Based on the physics of stochastic processes we present a new approach for structural health monitoring. We show that the new method allows for an in-situ analysis of the elastic features of a mechanical structure even for realistic…

Data Analysis, Statistics and Probability · Physics 2013-01-08 Philip Rinn , Hendrik Heißelmann , Matthias Wächter , Joachim Peinke

In this paper, we provide non-parametric statistical tools to test stationarity of microstructure noise in general hidden Ito semimartingales, and discuss how to measure liquidity risk using high frequency financial data. In particular, we…

Statistical Finance · Quantitative Finance 2019-11-07 Richard Y. Chen , Per A. Mykland

Identification of nonlinear block-oriented models has been extensively studied. The presence of the process noise, more precisely its location in the block-oriented model influences essentially the development of a consistent identification…

Systems and Control · Computer Science 2018-04-27 Erliang Zhang , Maarten Schoukens , Johan Schoukens

Nonlinearity in macroscopic mechanical system plays a crucial role in a wide variety of applications, including signal transduction and processing, synchronization, and building logical devices. However, it is difficult to generate…

Non linear dynamic behaviour of a normally excited preloaded Hertzian contact (including possible contact losses) is investigated using an experimental test rig. It consists on a double sphere plane contact loaded by the weight of a rigid…

Classical Physics · Physics 2016-08-14 Joël Perret-Liaudet , Emmanuel Rigaud

Fractional models and their parameters are sensitive to changes in the intrinsic micro-structures of anomalous materials. We investigate how such physics-informed models propagate the evolving anomalous rheology to the nonlinear dynamics of…

Numerical Analysis · Mathematics 2020-09-28 Jorge L. Suzuki , Pegah Varghaei , Ehsan Kharazmi , Mohsen Zayernouri

For objects of "large" vibration size such as waves on the sea surface, the choice of measurement method can create different understandings of system behavior. In one case, laser vibrometry measurements of a vibrating bar in a controlled…

Instrumentation and Detectors · Physics 2021-02-23 Michael C. Kobold , Michael McKinley

In this article, a previously published amplifier-less potentiostat architecture is further examined. Starting with a linearized model, the impact of the most important parameters is studied taking in account the electrodes-solution…

Systems and Control · Electrical Eng. & Systems 2025-04-30 Andrea Sannino , David-Peter Wiens , Maurits Ortmanns , José I. Artigas , Aránzazu Otín

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
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