An explicit time-integrator with singular mass for non-smooth dynamics
DOI10.1007/s00466-021-02021-5zbMath1480.74294OpenAlexW3157393375WikidataQ113326707 ScholiaQ113326707MaRDI QIDQ2666082
Thomas M. M. Homolle, Gabriel Georges, Jean Di Stasio, David Dureisseix, Anthony Gravouil
Publication date: 22 November 2021
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-021-02021-5
energy conservationunilateral contactsingular mass matrixsymplectic mechanicscentral difference Lagrange time integration schemeimpacting bar
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Finite difference methods applied to problems in solid mechanics (74S20) Impact in solid mechanics (74M20)
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Cites Work
- A robust finite element redistribution approach for elastodynamic contact problems
- Higher order event capturing time-stepping schemes for nonsmooth multibody systems with unilateral constraints and impacts
- Presentation and comparison of selected algorithms for dynamic contact based on the Newmark scheme
- Mixed interpretation and extensions of the equivalent mass matrix approach for elastodynamics with contact
- Mass redistribution method for finite element contact problems in elastodynamics
- The singular dynamic method for constrained second order hyperbolic equations: application to dynamic contact problems
- The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics
- Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics
- Simultaneous enforcement of constraints at position and velocity levels in the nonsmooth generalized-\(\alpha\) scheme
- A new heterogeneous asynchronous explicit-implicit time integrator for nonsmooth dynamics
- A weighted finite element mass redistribution method for dynamic contact problems
- The non-smooth contact dynamics method
- Numerical aspects of the sweeping process
- Energy conservation in Newmark based time integration algorithms
- An overview of recent results on Nitsche's method for contact problems
- Hybrid-mixed discretization of elasto-dynamic contact problems using consistent singular mass matrices
- A nonsmooth generalized-αscheme for flexible multibody systems with unilateral constraints
- Time-Integration Schemes for the Finite Element Dynamic Signorini Problem
- Variationally consistent discretization schemes and numerical algorithms for contact problems
- A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
- Discrete mechanics and variational integrators
- Decomposition contact response (DCR) for explicit finite element dynamics
- A stable energy-conserving approach for frictional contact problems based on quadrature formulas
- Lagrange constraints for transient finite element surface contact
- Contact‐impact by the pinball algorithm with penalty and Lagrangian methods
- DESIGN OF ENERGY CONSERVING ALGORITHMS FOR FRICTIONLESS DYNAMIC CONTACT PROBLEMS
- Nonsmooth Lagrangian Mechanics and Variational Collision Integrators
- A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier
- A Numerical Scheme for Impact Problems I: The One-Dimensional Case
- A Numerical Scheme for Impact Problems II: The Multidimensional Case
- Geometric Numerical Integration of Inequality Constrained, Nonsmooth Hamiltonian Systems
- Computational Contact Mechanics
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