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This paper deals with the vibration analysis of an asymmetric composite beam composed of glass a piezoelectric material. The Bernoulli's beam theory is adopted for mechanical deformations, and the electric potential field of the…

Other Computer Science · Computer Science 2008-02-22 J. -S. Chen , S. -H. Chen , K. -C. Wu

We perform direct numerical simulations of an unstably stratified turbulent channel flow to address the effects of buoyancy on the boundary layer dynamics and mean field quantities. We systematically span a range of parameters in the space…

Fluid Dynamics · Physics 2022-06-13 Andrea Scagliarini , Halldór Einarsson , Ármann Gylfason , Federico Toschi

The flow of the laminar boundary layer on a flat plate is studied with simulation of Navier-Stokes equations. The mechanisms of flow instability at external edge of the boundary layer and near the wall are analyzed using the energy gradient…

Fluid Dynamics · Physics 2018-06-20 Hua-Shu Dou , Wenqian Xu , Boo Cheong Khoo

How easy is it to suppress shake, rattle and roll in a long bridge or a skyscraper? Most practical structures are designed so that long wave resonance vibrations can be avoided. However, there are recent examples, such as the Millennium…

Dynamical Systems · Mathematics 2011-07-12 M. Brun , A. B. Movchan , I. S. Jones

Vibronic effects in resonant electron transport through single-molecule junctions are analyzed. The study is based on generic models for molecular junctions, which include electronic states on the molecular bridge that are vibrationally…

Mesoscale and Nanoscale Physics · Physics 2011-03-15 R. Härtle , M. Thoss

Nonlinear string vibration, in particular the case of nonplanar motion, has been an area of intense study for many years. Numerical simulation methods, essential for the comparison between measured data and theory, have received somewhat…

Analysis of PDEs · Mathematics 2019-05-23 Stefan Bilbao

On the basis of a recently proposed vibro-acoustical model of the piano soundboard (X. Boutillon and K. Ege, Vibroacoustics of the piano soundboard: reduced models, mobility synthesis, and acoustical radiation regime. \emph{submitted to the…

Classical Physics · Physics 2013-10-18 Xavier Boutillon , Kerem Ege , Stephen Paulello

In this paper, the vibration model of an elastic beam, governed by the damped Euler-Bernoulli equation $\rho(x)u_{tt}+\mu(x)u_{t}$$+\left(r(x)u_{xx}\right)_{xx}=0$, subject to the clamped boundary conditions $u(0,t)=u_x(0,t)=0$ at $x=0$,…

Analysis of PDEs · Mathematics 2023-07-18 Onur Baysal , Alemdar Hasanov , Alexandre Kawano

Many engineering and physiological applications deal with situations when a fluid is moving in flexible tubes with elastic walls. In the real-life applications like blood flow, there is often an additional complexity of vorticity being…

Fluid Dynamics · Physics 2024-09-09 Rossen Ivanov , Vakhtang Putkaradze

The present work attempts to present a consistent and efficient approach to piezoelectric laminated beams. The influence of hypotheses on three-dimensional sectional deformations and stress distributions on the estimate of the beam…

Mathematical Physics · Physics 2010-09-28 C. Maurini , F. dell'Isola , J. Pouget

We show that the natural resonant frequency of a suspended flexible string is significantly modified (by one order of magnitude) by adding a freely pivoting attached mass at its lower end. This articulated system then exhibits complex…

Pattern Formation and Solitons · Physics 2024-04-26 Filip Novkoski , Jules Fillette , Chi-Tuong Pham , Eric Falcon

An elastic double pendulum subject to a force acting along a fixed straight line, the so-called "Reut's column problem", is a structure exhibiting flutter and divergence instability, which was never realized in practice and thus debated…

Classical Physics · Physics 2020-02-12 Davide Bigoni , Diego Misseroni

Forces transmitted by bones are routinely studied in human biomechanics, but it is challenging to measure them non-invasively, especially outside of laboratory settings. We introduce a technique for non-invasive, in vivo measurement of…

Quantitative Methods · Quantitative Biology 2026-05-04 Ali Yawar , Daniel H. Aslan , Daniel E. Lieberman

In this paper we consider a linear system modeling the vibrations of two nonhomogeneous Euler-Bernoulli beams connected by a point mass. This system is generated by the following equations\bea…

Spectral Theory · Mathematics 2018-04-18 Jamel Ben Amara , Hedi Bouzidi

This paper presents the stability analysis of a system composed of rotating beams on a flexible, circular fixed ring, using the Routh-Hurwitz criterion. The model displayed has been fully developed within the rotating frame by use of an…

Classical Physics · Physics 2012-09-28 Nicolas Lesaffre , Jean-Jacques Sinou , Fabrice Thouverez

In this paper, the axial vibration of cracked beams, the free flexural vibrations of nanobeams and plates based on Timoshenko beam theory and first-order shear deformable plate theory, respectively, using Eringen's nonlocal elasticity…

Numerical Analysis · Mathematics 2012-03-20 S. Natarajan , T. Rabczuk , S. Bordas , D. Roy Mahapatra

The problem of partially hinged and partially free rectangular plate that aims to represent a suspension bridge subject to some external forces (for example the wind) is considered in order to model and simulate the unstable end behavior.…

Numerical Analysis · Mathematics 2024-04-17 Raj Narayan Dhara , Krzysztof E. Rutkowski , Katarzyna Szulc

We investigate the role of electronic-vibrational coupling in resonant electron transport through single-molecule junctions, taking into account that the corresponding coupling strengths may depend on the charge and excitation state of the…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Andre Erpenbeck , Rainer Härtle , Michel Bockstedte , Michael Thoss

A vibrational model of transport properties of dense fluids assumes that solid-like oscillations of atoms around their temporary equilibrium positions dominate the dynamical picture. The temporary equilibrium positions of atoms do not form…

Soft Condensed Matter · Physics 2024-01-09 Sergey Khrapak

Linearised relativistic elasticity equations of motion are considered for a rod and a spinning ring encountering a gravitational wave. In the case of the rod, the equations reduce to a wave equation with appropriate boundary conditions.…

General Relativity and Quantum Cosmology · Physics 2025-02-28 José Natário , Amol Sasane , Rodrigo Vicente
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