A nonsmooth generalized-αscheme for flexible multibody systems with unilateral constraints
From MaRDI portal
Publication:2952373
DOI10.1002/nme.4563zbMath1352.70012OpenAlexW1520207375MaRDI QIDQ2952373
Qiong-Zhong Chen, Geoffrey Virlez, Olivier Brüls, Vincent Acary
Publication date: 30 December 2016
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://hal.inria.fr/hal-00858066/file/QZCVA.pdf
unilateral constraintsflexible multibody systemsnonsmooth dynamicstime integration schemegeneralized-\(\alpha\) method
Computational methods for problems pertaining to mechanics of particles and systems (70-08) Numerical methods for initial value problems involving ordinary differential equations (65L05) Dynamics of multibody systems (70E55)
Related Items (16)
Contact mechanics for dynamical systems: a comprehensive review ⋮ Dynamic modelling of a multi-cable driven parallel platform with guiding devices ⋮ Simultaneous enforcement of constraints at position and velocity levels in the nonsmooth generalized-\(\alpha\) scheme ⋮ 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 ⋮ Variational approach for nonsmooth elasto-plastic dynamics with contact and impacts ⋮ 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 ⋮ Numerical simulation of base-isolated buildings in collisions with surrounding moat walls during earthquakes: a nonsmooth mechanics approach ⋮ Half-explicit timestepping schemes on velocity level based on time-discontinuous Galerkin methods ⋮ Nonsmooth spatial frictional contact dynamics of multibody systems ⋮ 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 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
- 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
- Projected event-capturing time-stepping schemes for nonsmooth mechanical systems with unilateral contact and Coulomb's friction
- Mass redistribution method for finite element contact problems in elastodynamics
- Numerics of unilateral contacts and friction. Modeling and numerical time integration in non-smooth dynamics
- On non-smooth dynamics
- A mathematical programming approach to three-dimensional contact problems with friction
- A mixed formulation for frictional contact problems prone to Newton like solution methods
- The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics
- Improved implicit integrators for transient impact problems -- dynamic frictional dissipation within an admissible conserving framework.
- The non-smooth contact dynamics method
- Energy-controlling time integration methods for nonlinear elastodynamics and low-velocity impact
- Convergence of the generalized-\(\alpha\) scheme for constrained mechanical systems
- Numerical methods for nonsmooth dynamical systems. Applications in mechanics and electronics
- 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
- Convergence Results for a Coordinate Projection Method Applied to Mechanical Systems with Algebraic Constraints
- Vibrations of a beam between obstacles. Convergence of a fully discretized approximation
- Time integration of the equations of motion in mechanism analysis
- On the discretization of contact problems in elastodynamics
- Step size adjustment and extrapolation for time-stepping schemes in non-smooth dynamics
- A contact-stabilized Newmark method for dynamical contact problems
- Lagrange constraints for transient finite element surface contact
- Formulation and comparison of algorithms for frictional contact problems
- Energy consistent algorithms for frictional contact problems
- Improved implicit integrators for transient impact problems?geometric admissibility within the conserving framework
- DESIGN OF ENERGY CONSERVING ALGORITHMS FOR FRICTIONLESS DYNAMIC CONTACT PROBLEMS
- Numerical Approximation of a Wave Equation with Unilateral Constraints
- A Numerical Scheme for Impact Problems I: The One-Dimensional Case
- A Numerical Scheme for Impact Problems II: The Multidimensional Case
- A generalization of the linear complementarity problem
This page was built for publication: A nonsmooth generalized-αscheme for flexible multibody systems with unilateral constraints
