Tykhonov Well-Posedness and Convergence Results for Contact Problems with Unilateral Constraints
This work presents a unified approach to the analysis of contact problems with various interface laws that model the processes involved in contact between a deformable body and a rigid or reactive foundation.
Mircea Sofonea, Meir Shillor
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Relaxation methods for optimal control problems [PDF]
We consider a nonlinear optimal control problem with dynamics described by a differential inclusion involving a maximal monotone map A : ℝN → 2ℝN. We do not assume that D(A) = ℝN, incorporating in this way systems with unilateral constraints in our ...
Nikolaos S. Papageorgiou +2 more
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The effect of construction joints and cracks on the stress-strain state of the arch-gravity dam [PDF]
The aim of the paper was to review the stress-strain state of an arch-gravity dam of the Sayano-Shushenskaya HPP, which has construction and contact joints. The problem is solved by finite element method using software package SOFiSTiK.
G.S. Kolosova, V.V. Lalin, A.V. Kolosova
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Nonlinear periodic system with unilateral constraints
In this paper, the following periodic system is studied: \[ a(u'(t))' \in A(u(t)) + f(t,u(t),u'(t)) \quad \text{a.e.}\;\, t \in [0,b],\qquad u(0)=u(b), \ u'(0)=u'(b), \] where \(a : \mathbb{R}^N \to \mathbb{R}^N\) is continuous and strictly monotone, \(A\) is a maximal monotone operator with \(D(A) \subset \mathbb{R}^N\), and the map \(f\) is a ...
Sergiu Aizicovici +2 more
openaire +4 more sources
On the motion of mechanical systems with unilateral constraints
The motion of the system with unilateral constraints being imposed may be divised into positions, so that in certain positions the constraint is taut and the motion occurs as if the constraint was bilateral and in other positions the constraint is not ...
Do Sanh
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Existence of solutions for a Lipschitzian vibroimpact problem with time-dependent constraints
We study a mechanical system with a finite number of degrees of freedom, subjected to perfect time-dependent frictionless unilateral (possibly nonconvex) constraints with inelastic collisions on active constraints. The dynamic is described in the form of
Samir Adly, Nguyen Nang Thieu
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Calculation of maximum Lyapunov exponent for vibro-impact system
With the help of discontinuous mapping and tail mapping, the maximum Lyapunov exponent of the system with the above three structures was constructed using Khasminskii transform.
Hui DANG, Jinqian FENG, Sen YANG
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Coupling multibody system and granular dynamics application to a 2D benchmark
We present a benchmark to experimentally validate the method we have developed to simulate mechanical devices interacting with granular media. Consequently the method we develop is able to solve problems involving bilateral and unilateral constraints ...
Lantsoght Olivier +4 more
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Cylindrical shells and panels subject to bilateral and unilateral contact constraints [PDF]
The cylindrical shell-medium (soil or rock) contact problem solution is typically achieved through numerical methods, where the modeling or approximation of the medium’s behavior is usually made considering it as an elastic deformable foundation that ...
McGlennon da Rocha Régis +3 more
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Human-Like Balance Recovery Based on Numerical Model Predictive Control Strategy
The purpose of this study is to implement a human-like balance recovery controller and analyze its robustness and energy consumption. Three main techniques to maintain balance can be distinguished in humans, namely (i) the ankle strategy, (ii) the hip ...
Keli Shen +2 more
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