Stability and convergence of mechanical systems with unilateral constraints
From MaRDI portal
Publication:2473791
DOI10.1007/978-3-540-76975-0zbMath1143.70001OpenAlexW644555752MaRDI QIDQ2473791
Nathan van de Wouw, Remco I. Leine
Publication date: 4 March 2008
Published in: Lecture Notes in Applied and Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-540-76975-0
Stability for nonlinear problems in mechanics (70K20) Problems involving a system of particles with friction (70F40) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02)
Related Items (67)
Guaranteed Cost Synchronization of Chaotic Cellular Neural Networks with Time-Varying Delay ⋮ A maximal monotone impact law for the 3-ball Newton's cradle ⋮ Contact mechanics for dynamical systems: a comprehensive review ⋮ A distributed memory parallel multibody Contact Dynamics code ⋮ Feedback control of multibody systems with joint clearance and dynamic backlash: a tutorial ⋮ Analytic solution for planar indeterminate impact problems using an energy constraint ⋮ A synchronization-based state observer for impact oscillators using only collision time information ⋮ The equilibrium stability for a smooth and discontinuous oscillator with dry friction ⋮ The contact problem in Lagrangian systems subject to bilateral and unilateral constraints, with or without sliding Coulomb's friction: a tutorial ⋮ An embedding approach for the design of state-feedback tracking controllers for references with jumps ⋮ 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 ⋮ Approximate modelling of resulting dry friction forces and rolling resistance for elliptic contact shape ⋮ Lyapunov stability of a rigid body with two frictional contacts ⋮ Synchronization of impacting mechanical systems with a single constraint ⋮ Energy conservation and dissipation properties of time‐integration methods for nonsmooth elastodynamics with contact ⋮ A minimal model for the influence of equilibrium positions on brake squeal ⋮ State observers for the time discretization of a class of impulsive mechanical systems ⋮ The direct method of Lyapunov for nonlinear dynamical systems with fractional damping ⋮ Guaranteeing stable tracking of hybrid position-force trajectories for a robot manipulator interacting with a stiff environment ⋮ Modelling and stability analysis of the nonlinear system ⋮ On the motion of a point particle on a homogeneous gravitating ball with a spherical cavity in the presence of dry friction ⋮ On relative equilibria on the surface of a spherical cavity inside a uniformly rotating gravitating ball ⋮ Review on contraction analysis and computation of contraction metrics ⋮ Convergent Systems: Nonlinear Simplicity ⋮ Relative equilibria of a heavy point on a uniformly rotating inclined plane ⋮ Discontinuous solutions in the optimal control problems and their representation by singular space-time transformations ⋮ Unnamed Item ⋮ Numerical simulation of base-isolated buildings in collisions with surrounding moat walls during earthquakes: a nonsmooth mechanics approach ⋮ A Continuation Principle for Periodic BV-Continuous State-Dependent Sweeping Processes ⋮ Global stability of almost periodic solutions to monotone sweeping processes and their response to non-monotone perturbations ⋮ Asymptotic properties of Zeno solutions ⋮ Timestepping schemes for nonsmooth dynamics based on discontinuous Galerkin methods: definition and outlook ⋮ 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 ⋮ Modeling and Analysis of Rigid Multibody Systems with Translational Clearance Joints Based on the Nonsmooth Dynamics Approach ⋮ Computing Time Reduction Possibilities in Multibody Dynamics ⋮ On the motion of a heavy material point on a rotating sphere (dry friction case) ⋮ On the response of autonomous sweeping processes to periodic perturbations ⋮ Observer-based control of linear complementarity systems ⋮ Stability analysis and attractivity results of a DC-DC Buck converter ⋮ Robust impulsive control of motion systems with uncertain friction ⋮ The equilibrium of systems with dry friction ⋮ Experimental and theoretical investigation of the energy dissipation of a rolling disk during its final stage of motion ⋮ Passivity-based switching control of flexible-joint complementarity mechanical systems ⋮ Stabilization of chaos systems described by nonlinear fractional-order polytopic differential inclusion ⋮ Bifurcations of the relative equilibria of a heavy bead on a hoop uniformly rotating about an inclined axis with dry friction ⋮ Regulation control of an underactuated mechanical system with discontinuous friction and backlash ⋮ Bifurcations of the relative equilibria of a heavy bead on a rotating hoop with dry friction ⋮ Global asymptotic stability of nonconvex sweeping processes ⋮ The contact problem in Lagrangian systems with redundant frictional bilateral and unilateral constraints and singular mass matrix. The all-sticking contacts problem ⋮ Energetically consistent model of slipping and sticking frictional impacts in multibody systems ⋮ On the graphical stability of hybrid solutions with non-matching jump times ⋮ Non-autonomous higher-order Moreau's sweeping process: Well-posedness, stability and Zeno trajectories ⋮ Combined effects of sampling and dry friction on position control ⋮ Critical elastic parameters motivating divergence instability of frictional composite infinitely long media ⋮ Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability ⋮ Continuous-time method and its discretization to inverse problem of intensity-modulated radiation therapy treatment planning ⋮ Vibrational self-alignment of a rigid object exploiting friction ⋮ Paradoxical simulation results of chaos-like chattering in the bouncing ball system ⋮ TANGENS HYPERBOLICUS APPROXIMATIONS OF THE SPATIAL MODEL OF FRICTION COUPLED WITH ROLLING RESISTANCE ⋮ Set-valued anisotropic dry friction laws: formulation, experimental verification and instability phenomenon ⋮ Stabilization of the response of cyclically loaded lattice spring models with plasticity ⋮ Hamilton's principle as variational inequality for mechanical systems with impact ⋮ Dose-volume constrained optimization in intensity-modulated radiation therapy treatment planning ⋮ Automated generation of hybrid automata for multi-rigid-body mechanical systems and its application to the falsification of safety properties
This page was built for publication: Stability and convergence of mechanical systems with unilateral constraints