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We consider an active-passive mechanical pair in which the relative motion of the latter is constrained by the mechanical impact. The system dynamics is described by the previously introduced modeling frameworks of force transition and…

Systems and Control · Electrical Eng. & Systems 2025-01-08 Michael Ruderman , Francesco De Rito

Sliding friction between two dry surfaces is reasonably described by the speed-independent Amonton-Coulomb friction force law. However, there are many situations where the frictional contact points between two surfaces are "active" and may…

Soft Condensed Matter · Physics 2025-01-17 Rohan Shah , Nick Gravish

Some mechanical systems, that are modeled to have inelastic collisions, nonetheless possess energy-conserving intermittent-contact solutions, known as collisionless solutions. Such a solution, representing a persistent hopping or walking…

Robotics · Computer Science 2024-02-27 Sergey Pankov

Friction is central to the motion of active (self-propelled) objects such as bacteria, animals, and robots. While in a viscous fluid friction is described by Stokes's law, objects in contact with other solid bodies are often governed by…

Soft Condensed Matter · Physics 2024-11-12 Alexander P. Antonov , Lorenzo Caprini , Anton Ldov , Christian Scholz , Hartmut Löwen

Using a combination of theory, experiment, and simulation, we revisit the dynamics of two coupled metronomes on a moving platform. Our experiments show that the platform's motion is damped by a dry friction force of Coulomb type, not the…

Adaptation and Self-Organizing Systems · Physics 2022-04-27 Guillermo H. Goldsztein , Lars Q. English , Emma Behta , Hillel Finder , Alice N. Nadeau , Steven H. Strogatz

This work presents a concise theoretical and computational framework for the finite element formulation of frictional contact problems with arbitrarily large deformation and sliding. The aim of this work is to extend the contact theory…

Computational Engineering, Finance, and Science · Computer Science 2019-04-03 Thang X. Duong , Roger A. Sauer

We show that during normal modes of an oscillatory system consisting of a hoop and a cylinder joining their centers by an ideal spring, its central mass does not remain at rest. This effect is due to the resultant external static friction…

Classical Physics · Physics 2025-08-05 Gergely Nyitray

The dynamics of frictional interfaces play an important role in many physical systems spanning a broad range of scales. It is well-known that frictional interfaces separating two dissimilar materials couple interfacial slip and normal…

Materials Science · Physics 2016-11-02 Michael Aldam , Yohai Bar-Sinai , Ilya Svetlizky , Efim A. Brener , Jay Fineberg , Eran Bouchbinder

The transition from static to dynamic friction when an elastic body is slid over another is now known to result from the motion of interface rupture fronts. These fronts may be either crack-like or pulse-like, with the latter involving…

Soft Condensed Matter · Physics 2024-03-06 Vineet Dawara , Koushik Viswanathan

Frictional sliding contact in hydrodynamic environments can be found in a range of engineering applications. Accurate modeling requires an integrated numerical framework capable of resolving large relative motions, multiphase interactions,…

Computational Physics · Physics 2025-10-01 Biswajeet Rath , Rajeev K. Jaiman

The impulse-based discrete feedback control has been proposed in previous work for the second-order motion systems with damping uncertainties. The sate-dependent discrete impulse action takes place at zero crossing of one of both states,…

Systems and Control · Computer Science 2017-07-25 Michael Ruderman

The nature of an instability that controls the transition from static to dynamical friction is studied in the the context of an array of frictional disks that are pressed from above on a substrate. In this case the forces are all explicit…

Statistical Mechanics · Physics 2020-01-29 Harish Charan , Joyjit Chattoraj , Massimo Pica Ciamarra , Itamar Procaccia

Analytical and numerical modelling of the nonlinear interaction of shear wave with a frictional interface is presented. The system studied is composed of two homogeneous and isotropic elastic solids, brought into frictional contact by…

Materials Science · Physics 2011-12-26 A. Meziane , A. N. Norris , A. L. Shuvalov

We analyse a mechanical system in two-dimensional relative motion with friction. Although the system is simple, the peculiar interplay between two kinetic friction forces and gravity leads to the wide range of admissible solutions exceeding…

Physics Education · Physics 2007-05-23 Dariusz Grech , Zygmunt Mazur

We introduce a model of friction between two contacting (stationary or co-sliding) rough surfaces, each comprising a random ensemble of polydisperse hemispherical bumps. In the simplest version of the model, the bumps experience on contact…

Soft Condensed Matter · Physics 2023-05-10 Suzanne M Fielding

Dynamics simulation with frictional contacts is important for a wide range of applications, from cloth simulation to object manipulation. Recent methods using smoothed lagged friction forces have enabled robust and differentiable simulation…

Graphics · Computer Science 2024-08-01 Egor Larionov , Andreas Longva , Uri M. Ascher , Jan Bender , Dinesh K. Pai

We study the mechanical contact between a deformable body with a wavy surface and a rigid flat taking into account pressurized fluid trapped in the interface. A finite element model is formulated for a general problem of trapped fluid for…

Fluid Dynamics · Physics 2021-03-23 Andrei G. Shvarts , Vladislav A. Yastrebov

Real applications in structural mechanics, where the dynamic behavior is linear, are rare. Usually, structures are made of components assembled together by means of joints whose behavior maybe highly nonlinear. Depending on the amount of…

Dynamical Systems · Mathematics 2018-11-26 Stefano Zucca , Christian M. Firrone

Passivity property gives a sense of energy balance. The classical definitions and theorems of passivity in dynamical systems require time invariance and locally Lipschitz functions. However, these conditions are not met in many systems. A…

Systems and Control · Electrical Eng. & Systems 2025-05-29 Diego Gutierrez-Oribio , Ioannis Stefanou , Franck Plestan

The objective of this note is to share some reflections of the authors regarding the use of sliding mode designs in control systems. We believe the abundant, and ever increasing, appearance of this kind of works on our scientific…

Systems and Control · Electrical Eng. & Systems 2025-10-10 Romeo Ortega , Leyan Fang , Jose Guadalupe Romero
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