Simultaneous enforcement of constraints at position and velocity levels in the nonsmooth generalized-\(\alpha\) scheme

DOI10.1016/j.cma.2014.07.025zbMath1423.74659OpenAlexW1982718367MaRDI QIDQ1668765

Olivier Brüls, Vincent Acary, Alberto Cardona

Publication date: 29 August 2018

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2014.07.025

zbMATH Keywords

time integrationtime-stepping schemesindex reductionflexible multibody systemnonsmooth contact dynamicsgeneralized-\(\alpha\) method

Mathematics Subject Classification ID

Related Items (20)

Multibody systems with 3D revolute joints with clearances: an industrial case study with an experimental validation ⋮ Explicit smooth/nonsmooth cosimulation using kinematic constraints ⋮ An explicit time-integrator with singular mass for non-smooth dynamics ⋮ Energy conservation and dissipation properties of time‐integration methods for nonsmooth elastodynamics with contact ⋮ A nonsmooth method for spatial frictional contact dynamics of flexible multibody systems with large deformation ⋮ Non-smooth numerical solution for Coulomb friction, rolling and spinning resistance of spheres applied to flexible multibody system dynamics ⋮ Variational approach for nonsmooth elasto-plastic dynamics with contact and impacts ⋮ On the adaptation of local impact laws for multiple impact problems ⋮ Lobatto-type variational integrators for mechanical systems with frictional contact ⋮ A nonsmooth modified symplectic integration scheme for frictional contact dynamics of rigid-flexible multibody systems ⋮ A new heterogeneous asynchronous explicit-implicit time integrator for nonsmooth dynamics ⋮ Half-explicit timestepping schemes on velocity level based on time-discontinuous Galerkin methods ⋮ Nonsmooth spatial frictional contact dynamics of multibody systems ⋮ Nonsmooth modal analysis of a \(N\)-degree-of-freedom system undergoing a purely elastic impact law ⋮ A framework of time integration methods for nonsmooth systems with unilateral constraints ⋮ A robust nonsmooth generalized-\(\alpha\) scheme for flexible systems with impacts ⋮ An improved implicit method for mechanical systems with set-valued friction ⋮ A catching-up algorithm for multibody dynamics with impacts and dry friction ⋮ 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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Higher order event capturing time-stepping schemes for nonsmooth multibody systems with unilateral constraints and impacts
• Projected event-capturing time-stepping schemes for nonsmooth mechanical systems with unilateral contact and Coulomb's friction
• A family of space-time connecting discretization schemes with local impact detection for elastodynamic contact problems
• Nonconvergence of the plain Newton-min algorithm for linear complementarity problems with a \(P\)-matrix
• Formulation and analysis of two energy-consistent methods for nonlinear elastodynamic frictional contact problems
• Automatic integration of Euler-Lagrange equations with constraints
• A mixed formulation for frictional contact problems prone to Newton like solution methods
• The analysis of the generalized-\(\alpha\) method for nonlinear dynamic problems
• The non-smooth contact dynamics method
• Numerical aspects of the sweeping process
• Convergence of the generalized-\(\alpha\) scheme for constrained mechanical systems
• Numerical methods for nonsmooth dynamical systems. Applications in mechanics and electronics
• A nonsmooth generalized-αscheme for flexible multibody systems with unilateral constraints
• Time-Integration Schemes for the Finite Element Dynamic Signorini Problem
• A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
• Energy consistent algorithms for frictional contact problems
• DESIGN OF ENERGY CONSERVING ALGORITHMS FOR FRICTIONLESS DYNAMIC CONTACT PROBLEMS
• The Primal-Dual Active Set Strategy as a Semismooth Newton Method
• A Numerical Scheme for Impact Problems I: The One-Dimensional Case
• A Numerical Scheme for Impact Problems II: The Multidimensional Case
• Rigid-Body Dynamics with Friction and Impact
• Time‐Step‐Size‐Independent Conditioning and Sensitivity to Perturbations in the Numerical Solution of Index Three Differential Algebraic Equations

This page was built for publication: Simultaneous enforcement of constraints at position and velocity levels in the nonsmooth generalized-\(\alpha\) scheme