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Many natural and man-made network systems need to maintain certain patterns, such as working at equilibria or limit cycles, to function properly. Thus, the ability to stabilize such patterns is crucial. Most of the existing studies on…

Optimization and Control · Mathematics 2025-09-30 Alberto Maria Nobili , Yuzhen Qin , Carlo Alberto Avizzano , Danielle S. Bassett , Fabio Pasqualetti

This work focuses on the stability analysis of an Euler Bernoulli cantilever beam with a tip mass at the free end, subject to a follower force. This can serve as a viable model for analysis of elastic instability occurring due to…

Classical Physics · Physics 2023-11-20 Premjit Saha , Tarunraj Singh

We study the relationship between dynamical properties and interaction patterns in complex oscillator networks in the presence of noise. A striking finding is that noise leads to a general, one-to-one correspondence between the dynamical…

Data Analysis, Statistics and Probability · Physics 2010-02-05 Jie Ren , Wen-Xu Wang , Baowen Li , Ying-Cheng Lai

The stability analysis of elastic rings subjected to various loading conditions is examined, focusing on stable and unstable configurations. The harmonic balance method is employed to investigate the stability range under different loading…

Classical Physics · Physics 2025-08-26 Muhammad Sami Siddiqui

The complex behavior of drop deposition on a hydrophobic surface is considered by looking at a model problem in which the evolution of a constant-volume liquid bridge is studied as the bridge is stretched. The bridge is pinned with a fixed…

Soft Condensed Matter · Physics 2017-04-26 Bian Qian , Kenneth S. Breuer

A rigorous derivation and validation for linear fluid-structure-interaction (FSI) equations for a rigid-body-motion problem is performed in an Eulerian framework. We show that the added-stiffness terms arising in the formulation of Fanion…

Fluid Dynamics · Physics 2020-10-28 Prabal S. Negi , Ardeshir Hanifi , Dan S. Henningson

The aim of the paper is to provide information on a newly developed design methodology for the evaluation of bridge expansion joints with respect to their noise emission and overall technical condition. The methodology also gives…

Transport-barrier relaxation oscillations in the presence of resonant magnetic perturbations are investigated using three-dimensional global fluid turbulence simulations from first principles at the edge of a tokamak. It is shown that…

Plasma Physics · Physics 2009-11-13 M. Leconte , P. Beyer , X. Garbet , S. Benkadda

We consider a dynamic system of nonlinear partial differential equations modeling the motions of a suspension bridge. This fish-bone model captures the flexural displacements of the bridge deck's mid-line, and each chordal filament's…

Analysis of PDEs · Mathematics 2024-07-12 Alessio Falocchi , Justin T. Webster

When a liquid viscous bridge between two parallel substrates is stretched by accelerating one substrate, its interface recedes in the radial direction. In some cases the interface becomes unstable. Such instability leads to the emergence of…

Fluid Dynamics · Physics 2019-12-05 Sebastian Brulin , Ilia V. Roisman , Cameron Tropea

We study the effects of thermal fluctuations on elastic rings. Analytical expressions are derived for correlation functions of Euler angles, mean square distance between points on the ring contour, radius of gyration, and probability…

Soft Condensed Matter · Physics 2009-10-31 Sergey Panyukov , Yitzhak Rabin

We propose a validated fluid-structure interaction simulation framework based on strip methods for the vortex-induced vibration of a flexible pipe. The numerical results are compared with the experimental data from three previous steady…

Fluid Dynamics · Physics 2025-10-22 Xuepeng Fu , Shixiao Fu , Zhibo Niu , Bing Zhao , Jiawei Shen , Pengqian Deng

Treatises on vibrations devote large space to study the dynamical behavior of an elastic system subject to known external tractions. In fact, usually a "system" is not an isolated body but it is part of a chain of mechanisms which disturb…

Optimization and Control · Mathematics 2012-06-15 Luciano Pandolfi

Turbulent boundary layers exhibit a universal structure which nevertheless is rather complex, being composed of a viscous sub-layer, a buffer zone, and a turbulent log-law region. In this letter we present a simple analytic model of…

Chaotic Dynamics · Physics 2007-05-23 Victor S. L'vov , Itamar Procaccia , Oleksii Rudenko

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

Designing materials or structures that can achieve asymmetric shape-shifting in response to symmetrically switching stimuli is a promising approach to enhance the locomotion performance of soft actuators/robots. Inspired by the geometry of…

Applied Physics · Physics 2022-02-14 Anran Wei , Zhenbin Guo , Fenglin Guo

The bifurcation problem of a circular Euler-Bernoulli rod subject to a uniform radial force distribution is investigated under three distinct loading conditions: (i.) hydrostatic pressure, (ii.) centrally-directed, and (iii.) dead load.…

Classical Physics · Physics 2024-07-04 Matteo Gaibotti , Davide Bigoni , Arsenio Cutolo , Massimiliano Fraldi , Andrea Piccolroaz

Vibrational resonance focuses on the resonance behavior of a nonlinear system when it is subjected to both a weak low-frequency characteristic signal and a high-frequency auxiliary signal. A traditional Duffing system has a fixed natural…

Adaptation and Self-Organizing Systems · Physics 2026-01-13 Zhongqiu Wan , Jianhua Yang , Feng Tian , Huatao Chen , Miguel A. F. Sanjuán

The knowledge gap in the expected and actual conditions of bridges has created worldwide deficits in infrastructure service and funding challenges. Despite rapid advances over the past four decades, sensing technology is still not a part of…

This paper addresses the boundary stabilization of a flexible wing model, both in bending and twisting displacements, under unsteady aerodynamic loads, and in presence of a store. The wing dynamics is captured by a distributed parameter…

Optimization and Control · Mathematics 2018-08-29 Hugo Lhachemi , David Saussié , Guchuan Zhu