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We consider third-order dynamic systems which have an integral feedback action and discontinuous relay disturbance. More specifically for the applications, the focus is on the integral plus state-feedback control of the motion systems with…

最优化与控制 · 数学 2025-02-18 Michael Ruderman

We consider a dry friction oscillator on a moving belt with both the Coulomb friction and a small nonlinear addition which can model e.g. the Stribeck effect. By using the perturbation theory, we establish a new sufficient condition for the…

动力系统 · 数学 2016-05-18 O. Makarenkov

Standard problem of one-degree-of-freedom mechanical systems with Coulomb friction is revised for a relay-based feedback stabilization. It is recalled that such a system with Coulomb friction is asymptotically stabilizable via a relay-based…

系统与控制 · 电气工程与系统科学 2022-08-02 Michael Ruderman , Leonid Fridman

An exact transformation method is introduced that reduces the governing equations of a continuum structure coupled to strong nonlinearities to a low dimensional equation with memory. The method is general and well suited to problems with…

动力系统 · 数学 2014-03-05 Robert Szalai

We study numerically stick slip motions in a model of blocks and springs being pulled slowly. The sliding friction is assumed to change dynamically with a state variable. The transition from steady sliding to stick-slip is subcritical in a…

混沌动力学 · 物理学 2009-11-07 Hidetsugu Sakaguchi

An elastic layer slides on a rigid flat governed by Coulomb's friction law. We demonstrate that if the coefficient of friction is high enough, the sliding localizes within stick-slip pulses, which transform into opening waves propagating at…

地球物理 · 物理学 2016-02-26 Vladislav A. Yastrebov

Even the most regular stick-slip frictional sliding is always stochastic, with irregularity in both the intervals between slip events and the sizes of the associated stress drops. Applying small-amplitude oscillations to the shear force, we…

软凝聚态物质 · 物理学 2015-05-27 Rosario Capozza , Shmuel M. Rubinstein , Itay Barel , Michael Urbakh , Jay Fineberg

Friction between ordered, atomically smooth surfaces at the nanoscale (nanofriction) is often governed by stick-slip processes. To test long-standing atomistic models of such processes, we implement a synthetic nanofriction interface…

原子物理 · 物理学 2015-06-10 Alexei Bylinskii , Dorian Gangloff , Vladan Vuletic

This paper deals with the stability analysis of a mass-spring system subject to friction using Lyapunov-based arguments. As the described system presents a stick-slip phenomenon, the mass may then periodically sticks to the ground. The…

最优化与控制 · 数学 2021-03-09 Matthieu Barreau , Sophie Tarbouriech , Frederic Gouaisbaut

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…

图形学 · 计算机科学 2024-08-01 Egor Larionov , Andreas Longva , Uri M. Ascher , Jan Bender , Dinesh K. Pai

We present a locomotion mechanism that uses the stick-slip transition of a soft passive structure with an internal mechanical resonance. The structure is harmonically driven by a global vertical shaking and, because of its resonance…

软凝聚态物质 · 物理学 2024-12-11 Thomas Barois , A. Boucherie , L. Tadrist , H. Kellay

We discuss the stick-slip motion of an elastic block sliding along a rigid substrate. We argue that for a given external shear stress this system shows a discontinuous nonequilibrium transition from a uniform stick state to uniform sliding…

软凝聚态物质 · 物理学 2009-11-10 Efim A. Brener , S. V. Malinin , V. I. Marchenko

Reversibility is of paramount importance in the correct representation of surface peeling in various physical settings, ranging from motility in nature, to gripping devices in robotic applications, and even to sliding of tectonic plates.…

软凝聚态物质 · 物理学 2021-07-06 Evelyne Ringoot , Thibault Roch , Jean-François Molinari , Thierry J. Massart , Tal Cohen

This paper deals with the stabilization of a class of linear infinite-dimensional systems with unbounded control operators and subject to a boundary disturbance. We assume that there exists a linear feedback law that makes the origin of the…

偏微分方程分析 · 数学 2022-10-26 Ismaïla Balogoun , Swann Marx , Franck Plestan

Two different controlling methods are proposed to stabilize unstable continuous-sliding states of a dry-friction oscillator. Both methods are based on a delayed-feedback mechanism well-known for stabilizing periodic orbits in deterministic…

chao-dyn · 物理学 2009-10-30 Franz-Josef Elmer

We propose a model for representing a point mass subject to Coulomb friction in feedback with a PID controller, based on a differential inclusion comprising all the possible magnitudes of static friction during the stick phase. For this…

系统与控制 · 计算机科学 2020-01-16 Andrea Bisoffi , Mauro Da Lio , Andrew R. Teel , Luca Zaccarian

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,…

系统与控制 · 计算机科学 2017-07-25 Michael Ruderman

Formulating a consistent theory for rigid-body dynamics with impacts is an intricate problem. Twenty years ago Stewart published the first consistent theory with purely inelastic impacts and an impulsive friction model analogous to Coulomb…

计算工程、金融与科学 · 计算机科学 2017-10-16 Tobias Preclik , Sebastian Eibl , Ulrich Rüde

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…

系统与控制 · 电气工程与系统科学 2025-10-10 Romeo Ortega , Leyan Fang , Jose Guadalupe Romero

The dynamics of an oscillated sessile drop of incompressible liquid with the focus on the contact line hysteresis is under theoretical consideration. The solid substrate is subject to transverse oscillations, which are assumed small…

流体动力学 · 物理学 2013-05-28 Irina S. Fayzrakhmanova , Arthur V. Straube
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