Numerical methods for nonsmooth dynamical systems. Applications in mechanics and electronics
From MaRDI portal
Publication:2473298
zbMath1173.74001MaRDI QIDQ2473298
Bernard Brogliato, Vincent Acary
Publication date: 27 February 2008
Published in: Lecture Notes in Applied and Computational Mechanics (Search for Journal in Brave)
complementarity problemsmathematical programmingtime-stepping schemesunilateral contactevent-driven schemes
Variational inequalities (49J40) Contact in solid mechanics (74M15) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02) Numerical and other methods in solid mechanics (74Sxx) Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control (49-02) Numerical methods for mathematical programming, optimization and variational techniques (65Kxx)
Related Items (only showing first 100 items - show all)
Implicit Euler simulation of one-dimensional Burridge-Knopoff model of earthquakes with set-valued friction laws ⋮ Contact mechanics for dynamical systems: a comprehensive review ⋮ Normally admissible stratifications and calculation of normal cones to a finite union of polyhedral sets ⋮ Direct event location techniques based on Adams multistep methods for discontinuous ODEs ⋮ Automatic generation of statistical volume elements using multibody dynamics and an erosion-based homogenization method ⋮ A smoothing trust region filter algorithm for nonsmooth least squares problems ⋮ Actuator fault detection and estimation for the lur'e differential inclusion system ⋮ Topological classification of limit cycles of piecewise smooth dynamical systems and its associated non-standard bifurcations ⋮ Implicit and explicit discrete-time realizations of the robust exact filtering differentiator ⋮ Bifurcation analysis of stick-slip vibration in a 2-DOF nonlinear dynamical system with dry friction ⋮ Multibody systems with 3D revolute joints with clearances: an industrial case study with an experimental validation ⋮ Feedback control of multibody systems with joint clearance and dynamic backlash: a tutorial ⋮ The Melnikov criterion of instability for random rocking of a rigid block with a fractional derivative element ⋮ On the mathematical basis of solid friction ⋮ Analysis of collocated feedback controllers for four-bar planar mechanisms with joint clearances ⋮ Load assessment and analysis of impacts in multibody systems ⋮ The contact problem in Lagrangian systems subject to bilateral and unilateral constraints, with or without sliding Coulomb's friction: a tutorial ⋮ Complex dynamics, hidden attractors and continuous approximation of a fractional-order hyperchaotic PWC system ⋮ Adaptive non-fragile observer design for the uncertain Lur'e differential inclusion system ⋮ A note on adaptive observer for the Lur'e differential inclusion system ⋮ A critical case for the spiral stability for \(2\times 2\) discontinuous systems and an application to recursive neural networks ⋮ A complementarity approach for the computation of periodic oscillations in piecewise linear systems ⋮ The method of a floating frame of reference for non-smooth contact dynamics ⋮ A note on the Kuramoto-Sivashinsky equation with discontinuity ⋮ Energetic consistency conditions for standard impacts. I: Newton-type inequality impact laws and Kane's example ⋮ Inertial couplings between unilateral and bilateral holonomic constraints in frictionless Lagrangian systems ⋮ Event-driven integration of linear structural dynamics models under unilateral elastic constraints ⋮ An inexact interior point method for the large-scale simulation of granular material ⋮ Simultaneous enforcement of constraints at position and velocity levels in the nonsmooth generalized-\(\alpha\) scheme ⋮ Computational techniques to locate crossing/sliding regions and their sets of attraction in non-smooth dynamical systems ⋮ Well-posedness, stability and invariance results for a class of multivalued Lur'e dynamical systems ⋮ Stability and bifurcation analysis of Filippov food chain system with food chain control strategy ⋮ On the contact detection for contact-impact analysis in multibody systems ⋮ Solutions leaving a codimension-\(2\) sliding ⋮ Vibration prediction of bladed disks coupled by friction joints ⋮ Optimal control formulation for complementarity dynamical systems ⋮ Solitary waves in the excitable Burridge-Knopoff model ⋮ Analysis of an oscillatory Painlevé-Klein apparatus with a nonholonomic constraint ⋮ On a class of Lur'e dynamical systems with state-dependent set-valued feedback ⋮ Chaotic behavior of driven, second-order, piecewise linear systems ⋮ Periodic solutions of a two-degree-of-freedom autonomous vibro-impact oscillator with sticking phases ⋮ A regularization for discontinuous differential equations with application to state-dependent delay differential equations of neutral type ⋮ Fundamental matrix solutions of piecewise smooth differential systems ⋮ One-sided direct event location techniques in the numerical solution of discontinuous differential systems ⋮ A new heterogeneous asynchronous explicit-implicit time integrator for nonsmooth dynamics ⋮ A survey of numerical methods for IVPs of ODEs with discontinuous right-hand side ⋮ Regularizing piecewise smooth differential systems: co-dimension 2 discontinuity surface ⋮ Newton iterations in implicit time-stepping scheme for differential linear complementarity systems ⋮ Asymptotic behavior of a class of evolution variational inequalities ⋮ Analysis of lumped models with contact and friction ⋮ Dynamics of a non-smooth type hybrid energy harvester with nonlinear magnetic coupling ⋮ Higher order event capturing time-stepping schemes for nonsmooth multibody systems with unilateral constraints and impacts ⋮ Spatial simulation of pushbelt CVTs with time-stepping schemes ⋮ An adaptive multi-scale computational modelling of Clare College Bridge ⋮ Numerical simulation of base-isolated buildings in collisions with surrounding moat walls during earthquakes: a nonsmooth mechanics approach ⋮ Convex optimization techniques in compliant assembly simulation ⋮ Uniformly ultimately bounded tracking control of linear differential inclusions with stochastic disturbance ⋮ A finite element procedure for rigorous numerical enclosures on the limit load in the analysis of multibody structures ⋮ Coulomb friction with rolling resistance as a cone complementarity problem ⋮ A family of space-time connecting discretization schemes with local impact detection for elastodynamic contact problems ⋮ Comments on: ``Energetic balance for the Rayleigh-Stokes problem of an Oldroyd-B fluid ⋮ Energetic consistency conditions for standard impacts. II: Poisson-type inequality impact laws ⋮ Sharp sufficient attractivity conditions for sliding on a co-dimension 2 discontinuity surface ⋮ The numerical solution of Richards' equation by means of method of lines and ensemble Kalman filter ⋮ A finite difference approach for the numerical solution of non-smooth problems for boundary value odes ⋮ Timestepping schemes for nonsmooth dynamics based on discontinuous Galerkin methods: definition and outlook ⋮ On some generalizations of the implicit Euler method for discontinuous fractional differential equations ⋮ Rosenbrock-type methods applied to discontinuous differential systems ⋮ A unified dissipativity approach for stability analysis of piecewise smooth systems ⋮ Half-explicit timestepping schemes on velocity level based on time-discontinuous Galerkin methods ⋮ Kinetic quasi-velocities in unilaterally constrained Lagrangian mechanics with impacts and friction ⋮ Simulation of rockfall trajectories with consideration of rock shape ⋮ Minimum variation solutions for sliding vector fields on the intersection of two surfaces in \(\mathbb{R}^3\) ⋮ Singular mass matrix and redundant constraints in unilaterally constrained Lagrangian and Hamiltonian systems ⋮ Using a half-implicit integration scheme for the SPH-based solution of fluid-solid interaction problems ⋮ Numerical analysis of the dynamics of rigid blocks subjected to support excitation ⋮ The moments sliding vector field on the intersection of two manifolds ⋮ Bifurcational dynamics of a two-dimensional stick-slip system ⋮ Stability analysis and attractivity results of a DC-DC Buck converter ⋮ Theoretical study of a chain sliding on a fixed support ⋮ Nonsmooth modal analysis of a \(N\)-degree-of-freedom system undergoing a purely elastic impact law ⋮ Implicit Euler numerical scheme and chattering-free implementation of sliding mode systems ⋮ Passivity-based switching control of flexible-joint complementarity mechanical systems ⋮ An efficient pseudo-spectral method for nonsmooth dynamical systems ⋮ On the spider that spits the solution of a nonsmooth oscillator ⋮ Fractional-order PWC systems without zero Lyapunov exponents ⋮ Some results on optimal control with unilateral state constraints ⋮ Isochronous attainable manifolds for piecewise smooth dynamical systems ⋮ Analysis of a generalized kinematic impact law for multibody-multicontact systems, with application to the planar rocking block and chains of balls ⋮ Paradoxical simulation results of chaos-like chattering in the bouncing ball system ⋮ Well-posedness of nonsmooth Lurie dynamical systems involving maximal monotone operators ⋮ On the formulation and implementation of extrinsic cohesive zone models with contact ⋮ Set-valued anisotropic dry friction laws: formulation, experimental verification and instability phenomenon ⋮ Nonlinear oscillations of a pendulum cable with the effects of the friction and the radius of the support ⋮ A nonsmooth contact dynamic algorithm based on the symplectic method for multibody system analysis with unilateral constraints ⋮ Modelling and simulation of coupled multibody systems and granular media using the non-smooth contact dynamics approach ⋮ Unified primal-dual active set method for dynamic frictional contact problems ⋮ Enclosing the behavior of a hybrid automaton up to and beyond a Zeno point ⋮ Nonsmooth Lur'e dynamical systems in Hilbert spaces ⋮ A mode-matching method for the prediction of stick-slip relative motion of two elastic rods in frictional contact
Uses Software
This page was built for publication: Numerical methods for nonsmooth dynamical systems. Applications in mechanics and electronics
