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Nonlinear effects were observed in a forced vibrating string. The motion of the string becomes elliptic as the amplitude of the vibration increases. The fundamental resonance frequency depends on the amplitude of the vibration. At…

Physics Education · Physics 2007-05-23 Miguel C. Brito , Jorge Maia Alves , Joao M. Serra , Antonio Vallera

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

In this paper, we consider the longitudinal and transversal vibrations of the transmission Euler-Bernoulli beam with Kelvin-Voigt damping distributed locally on any subinterval of the region occupied by the beam and only in one side of the…

Analysis of PDEs · Mathematics 2019-08-19 Fathi Hassine

A water bridge refers to an experimental "flexible cable" made up of pure deionized water which can hang across two supports maintained with a sufficiently large voltage difference. The resulting electric fields within the deionized water…

Other Condensed Matter · Physics 2013-05-29 A. Widom. J. Swain , J. Silverberg , Y. N. Srivastava

The mathematical model of a real flexible elastic system with distributed and discrete parameters is considered. It is a partial differential equation with non-classical boundary conditions. Complexity of the boundary conditions results in…

Analysis of PDEs · Mathematics 2007-05-23 Olena V. Mul , Delfim F. M. Torres

We consider a heavy, uniform, elastic beam rested on periodically distributed supports as a simplified model of a bridge. The supports are subjected to a partial destruction propagating as a failure wave along the beam. Three related models…

Classical Physics · Physics 2015-06-12 Michele Brun , Alexander B. Movchan , Leonid I. Slepyan

This study deals with spectral analysis of fluid-loaded vibrating structure. It was recently observed in a numerical study on a high order perturbation method under heavy fluid loading that a loaded vibrating plate results, not only in the…

Classical Physics · Physics 2009-02-06 Pierre-Olivier Mattei

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 have investigated several ultra-thin copper nanobridges between supporting layers using a classical molecular dynamics simulation and a many-body potential function of the second-moment approximation of tight-binding scheme. This…

Materials Science · Physics 2009-11-07 Jeong Won Kang , Ho Jung Hwang

A rectangular plate modeling the deck of a suspension bridge is considered. The plate may widely oscillate, which suggests to consider models from nonlinear elasticity. The von K\'arm\'an plate model is studied, complemented with the action…

Analysis of PDEs · Mathematics 2014-10-31 Filippo Gazzola , Yongda Wang

Using low-cost piezoelectric sensors to sense structural vibration exhibits great potential in augmenting structural engineering, which is yet to be explored in the literature to the best of our knowledge. Examples of such unexplored…

Signal Processing · Electrical Eng. & Systems 2020-12-09 Masfiqur Rahaman , MD. Nazmul Hasan Sakib , Nafisa Islam , Saiful Islam Salim , Uday Kamal , Raihan Rasheed , A. B. M. Alim Al Islam

Mechanical signaling plays a key role in biological processes like embryo development and cancer growth. One prominent way to probe mechanical properties of tissues is to study their response to externally applied forces. Using a…

Soft Condensed Matter · Physics 2017-04-18 D. A. Matoz-Fernandez , Elisabeth Agoritsas , Jean-Louis Barrat , Eric Bertin , Kirsten Martens

In a fish-bone model for suspension bridges studied by us in a previous paper we introduce linear aerodynamic forces. We numerically analyze the role of these forces and we theoretically show that they do not influence the onset of…

Analysis of PDEs · Mathematics 2014-09-08 E. Berchio , F. Gazzola

We study thermal fluctuations of a free-standing bilayer graphene subject to vanishing external tension. Within a phenomenological theory, the system is described as a stack of two continuum crystalline membranes, characterized by finite…

Mesoscale and Nanoscale Physics · Physics 2020-12-01 Achille Mauri , David Soriano , Mikhail I. Katsnelson

We derive exact dispersion relations for axial and flexural elastic wave motion in a rod and a beam under finite deformation. For axial motion we consider a simple rod model, and for flexural motion we employ the Euler-Bernoulli kinematic…

Mathematical Physics · Physics 2013-04-23 Mohammad H. Abedinnasab , Mahmoud I. Hussein

For controlling the noise radiated from vibrating structures excited by turbulent boundary layer (TBL) it is relevant to develop numerical tools for understanding how the structure reacts to TBL excitation. Usually, the wall pressure…

Applied Physics · Physics 2024-09-23 Laurent Maxit , Marion Berton , Christian Audoly , Daniel Juvé

Isothermal compressibilities and Brillouin sound velocities from the literature allow to separate the compressibility at the glass transition into a high-frequency vibrational and a low-frequency relaxational part. Their ratio shows the…

Disordered Systems and Neural Networks · Physics 2007-05-23 U. Buchenau , A. Wischnewski

The present study stems from the realization that the general problem relating to the analysis of wind-induced vibrations in suspension bridges still requires significant attention. Sidewalk railings, overhaul tracks, and deflectors are…

Fluid Dynamics · Physics 2025-10-22 Guanni Qu , T. Yue , X. Zhang , S. Wei

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 identification of stream in the straight pipe as a flexible rod has allowed to present the criterion expression for determination of transition of the laminar flow regime to the turbulent as a loss of stability of the rectilinear static…

Fluid Dynamics · Physics 2007-05-23 S. L. Arsenjev , I. B. Lozovitski , Y. P. Sirik