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The breakup dynamics of viscous liquid bridges on solid surfaces is studied experimentally. It is found that the dynamics bears similarities to the breakup of free liquid bridges in the viscous regime. Nevertheless, the dynamics is…

Fluid Dynamics · Physics 2024-08-06 Salar Farokhi , Peyman Rostami , Günter K. Auernhammer , Steffen Hardt

All attempts of aeroelastic explanations for the torsional instability of suspension bridges have been somehow criticised and none of them is unanimously accepted by the scientific community. We suggest a new nonlinear model for a…

Dynamical Systems · Mathematics 2015-08-14 Gianni Arioli , Filippo Gazzola

A spring-block chain placed on a running conveyor belt is considered for modeling stylized facts observed in the dynamics of stock indexes. Individual stocks are modeled by the blocks, while the stock-stock correlations are introduced via…

Physics and Society · Physics 2016-05-20 Bulcsu Sandor , Zoltan Neda

The model analyzes the muscle fiber as a deformable system for which experimental data are determinated with the help of the laws of Newtonian mechanic. The model predicts the four transient phases for the shortening of a muscle fiber…

Tissues and Organs · Quantitative Biology 2013-11-19 Sylvain Louvet

Bifurcation analysis of dynamic pull-in for a lumped mass model is presented. The restoring force of the spring is derived based on the nonlinear constitutive stress-strain law and the driving force of the mass attached to the spring is…

Dynamical Systems · Mathematics 2018-08-07 P. Skrzypacz , S. Kadyrov , D. Nurakhmetov , D. Wei

We investigate the incremental stability properties of It\^o stochastic dynamical systems. Specifically, we derive a stochastic version of nonlinear contraction theory that provides a bound on the mean square distance between any two…

Optimization and Control · Mathematics 2011-11-09 Q. -C. Pham , N. Tabareau , J. -J. Slotine

A coarse-grained bead-spring-dashpot chain model with the dashpots representing the presence of internal friction, is solved exactly numerically, for the case of chains with more than two beads. Using a decoupling procedure to remove the…

Soft Condensed Matter · Physics 2021-07-16 R. Kailasham , Rajarshi Chakrabarti , J. Ravi Prakash

We introduce a one-dimensional stress-rate type nonlinear viscoelastic model for solids that obey the assumptions of the strain-limiting theory. Unlike the classical viscoelasticity theory, the critical hypothesis in the present…

Analysis of PDEs · Mathematics 2020-09-09 Husnu A. Erbay , Yasemin Sengul

We examine the dynamics of two coalescing liquid drops in the `inertial regime', where the effects of viscosity are negligible and the propagation of the bridge front connecting the drops can be considered as `local'. The solution fully…

Fluid Dynamics · Physics 2015-06-19 James E. Sprittles , Yulii D. Shikhmurzaev

Spring-driven jumping robots use an energised spring for propulsion, while the onboard motor only serves as a spring-charging source. A common mechanism in designing these robots is the rhomboidal linkage, which has been combined with…

Robotics · Computer Science 2023-11-07 John Lo , Ben Parslew

One-dimensional non-equilibrium models of particles subjected to a coagulation-diffusion process are important in understanding non-equilibrium dynamics, and fluctuation-dissipation relation. We consider in this paper transport properties…

Statistical Mechanics · Physics 2015-06-18 Jean-Yves Fortin

A mesoscopic, mixed particle- and field-based Brownian dynamics methodology for the simulation of entangled polymer melts has been developed. Polymeric beads consist of several Kuhn segments, and their motion is dictated by the Helmholtz…

Soft Condensed Matter · Physics 2017-03-28 Georgios G. Vogiatzis , Grigorios Megariotis , Doros N. Theodorou

We suggest a multilevel model, to represent aggregate train-passing events from the Staffordshire bridge monitoring system. We formulate a combined model from simple units, representing strain envelopes (of each train passing) for two types…

The dynamic characteristics of near-field levitation bearings have been investigated in this study. Through theoretical analysis, two different types of system stiffness are defined and derived analytically. The dynamic stiffness relates…

Applied Physics · Physics 2021-10-05 Yaoke Wang , Ping Guo

This work is devoted to an impedance grasping strategy for a class of standard mechanical systems in the port-Hamiltonian framework. We embed a variable rest-length of the springs of the existing impedance grasping strategy in order to…

Robotics · Computer Science 2020-08-06 Mauricio Munoz-Arias , Jacquelien Scherpen , Alessandro Macchelli

We study numerically the relaxation of a driven elastic string in a two dimensional pinning landscape. The relaxation of the string, initially flat, is governed by a growing length $L(t)$ separating the short steady-state equilibrated…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alejandro B. Kolton , Alberto Rosso , Ezequiel V. Albano , Thierry Giamarchi

Hypothesis: Droplet coalescence is a common phenomenon and plays an important role in many applications. When two liquid droplets are brought into contact, a liquid bridge forms and expands quickly. Different from miscible droplets, an…

Fluid Dynamics · Physics 2023-12-27 Huadan Xu , Tianyou Wang , Zhizhao Che

We study a nonlocal evolution equation modeling the deformation of a bridge, either a footbridge or a suspension bridge. Contrarily to the previous literature we prove the asymptotic stability of the considered model with a minimum amount…

A new generation of experiments on dry macroscopic friction has revealed that the transition from static to dynamic friction is essentially a spatially and temporally non-uniform process, initiated by a rupture-like detachment front. We…

Materials Science · Physics 2011-11-23 Naum I. Gershenzon , Gust Bambakidis

Non-processive molecular motors have to work together in ensembles in order to generate appreciable levels of force or movement. In skeletal muscle, for example, hundreds of myosin II molecules cooperate in thick filaments. In non-muscle…

Biological Physics · Physics 2015-06-16 Thorsten Erdmann , Philipp J. Albert , Ulrich S. Schwarz