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In this paper we explore the numerical study. of the Nonlinear Behavior of Suspension Bridge Models. The study of suspension bridges is one of the classic problems of mechanical vibrations, one of the most famous collapses of which was that…

We consider a mathematical model for the study of the dynamical behavior of suspension bridges. We show that internal resonances, which depend on the bridge structure only, are the origin of torsional instability. We obtain both theoretical…

Analysis of PDEs · Mathematics 2014-04-30 E. Berchio , F. Gazzola

Vibrationally inelastic electron transport through a molecular bridge that is connected to two leads is investigated. The study is based on a generic model of vibrational excitation in resonant transmission of electrons through a molecular…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Martin Cizek , Michael Thoss , Wolfgang Domcke

Stochastic flexural vibrations of small-scale Bernoulli-Euler beams with external damping are investigated by stress-driven nonlocal mechanics. Damping effects are simulated considering viscous interactions between beam and surrounding…

We first recall several historical oscillating bridges that, in some cases, led to collapses. Some of them are quite recent and show that, nowadays, oscillations in suspension bridges are not yet well understood. Next, we survey some…

Analysis of PDEs · Mathematics 2013-06-04 Filippo Gazzola

The paper deals with the interaction between buckling and resonance instabilities of mechanical systems. Taking into account the effect of geometric nonlinearity in the equations of motion through the geometric stiffness matrix, the problem…

Exactly Solvable and Integrable Systems · Physics 2008-02-07 Alberto Carpinteri , Marco Paggi

Steady-state response of an isolated horizontal axis wind turbine blade undergoing out-of-plane and in-plane vibrations are studied considering the two cases separately. Equations of motion for both cases are sought by modeling the blade as…

Fluid Dynamics · Physics 2020-02-21 Yash Talwekar , Aswan Abdul Razak , Amol Marathe

The stability of complex networks, from power grids to biological systems, is crucial for their proper functioning. It is thus important to control such systems to maintain or restore their stability. Traditional approaches rely on…

Optimization and Control · Mathematics 2025-09-23 Yuzhen Qin , Fabio Pasqualetti , Danielle S. Bassett , Marcel van Gerven

Over the past two decades, vibrational resonance has garnered significant interest and evolved into a prominent research field. Classical vibrational resonance examines the response of a nonlinear system excited by two signals: a weak,…

Adaptation and Self-Organizing Systems · Physics 2024-03-19 Jianhua Yang , S. Rajasekar , Miguel A. F. Sanjuan

In this paper, a simple 1D crowd model is proposed, which aim is to properly describe the crowd-flow phenomena occurring when pedestrians walk on a flexible footbridge. The crowd is assumed to behave like a continuous compressible fluid and…

Classical Physics · Physics 2009-01-13 Joanna Bodgi , Silvano Erlicher , Pierre Argoul

The vibration of various structures such as blades of turbines, helicopters, and all kinds of rotating robot arms can damage the structures and disrupt their performance and balance. Thus, investigation of the reduction and control of…

Systems and Control · Electrical Eng. & Systems 2020-04-27 Roya Salehzadeh , Firooz Bakhtiari- Nejad , Mahnaz Shamshirsaz

Inspired by the Melan equation we propose a model for suspension bridges with two cables linked to a deck, through inextensible hangers. We write the energy of the system and we derive from variational principles two nonlinear and nonlocal…

Dynamical Systems · Mathematics 2018-07-20 Alessio Falocchi

One of the most prevalent causes of bridge failure around the world is scour, the gradual erosion of soil around a bridge foundation due to fast-flowing water. A reliable technique for monitoring scour would help bridge engineers take…

Applied Physics · Physics 2020-07-14 KKGKD Kariyawasam , CR Middleton , G Madabhushi , KH Haigh , JP Talbot

We analyze various limits of vibrationally coupled resonant electron transport in single-molecule junctions. Based on a master equation approach, we discuss analytic and numerical results for junctions under a high bias voltage or weak…

Mesoscale and Nanoscale Physics · Physics 2015-03-18 R. Härtle , M. Thoss

This paper brings a comparative analysis between dynamic models of couple-stress elastic materials and structured Rayleigh beams on a Winkler foundation. Although physical phenomena have different physical origins, the underlying equations…

Classical Physics · Physics 2014-08-22 A. Piccolroaz , A. B. Movchan

We present a numerical study to investigate the fluid-structure interaction of a flexible circular cantilever cylinder in a uniform cross-flow. We employ a fully-coupled fluid-structure solver based on the three-dimensional Navier-Stokes…

Fluid Dynamics · Physics 2021-05-26 S. Heydari , N. A. Patankar , M. J. Z. Hartmann , R. K. Jaiman

This paper explores the feasibility of utilizing the response recorded by a single moving sensor to identify the modal parameters of a bridge system under different loading conditions, such as known excitation and unknown random…

Other Statistics · Statistics 2025-09-08 Dhiraj Ghosh , Suparno Mukhopadhyay , Shaily Jain

A pinned-free beam in axial fluid flow, subjected to feedback-based actuation at the pinned end, is investigated. The actuation may be a moment or a prescribed angle and it is proportional to the state (curvature, slope, or displacement) of…

Fluid Dynamics · Physics 2023-02-07 Sanders Aspelund , Ranjan Mukherjee , Aren Hellum

Vehicles crossing bridge structures respond dynamically to the bridge's vibrations. An acceleration signal collected within a moving vehicle contains a trace of the bridge's structural response, but also includes other sources such as the…

Signal Processing · Electrical Eng. & Systems 2020-03-05 Soheil Sadeghi Eshkevari , Thomas J. Matarazzo , Shamim N. Pakzad

The paper is devoted to the observability study of a dynamic system, which describes the vibrations of an elastic beam with an attached rigid body and distributed control actions. The mathematical model is derived using Hamilton's principle…

Optimization and Control · Mathematics 2022-08-19 Alexander Zuyev , Julia Kalosha
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