Linearly implicit time integration methods in real-time applications: DAEs and stiff ODEs

DOI10.1007/s11044-007-9036-8zbMath1123.70002OpenAlexW1976838132MaRDI QIDQ884816

Alexander Eichberger, Martin Arnold, Bernhard Burgermeister

Publication date: 7 June 2007

Published in: Multibody System Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11044-007-9036-8

zbMATH Keywords

projection methodsnoniterative fixed stepsize time integrationtree-structured multi-body system

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Dynamics of multibody systems (70E55)

Related Items (10)

Symbolic multibody methods for real-time simulation of railway vehicles ⋮ DAE Aspects of Multibody System Dynamics ⋮ A Survey on Numerical Methods for the Simulation of Initial Value Problems with sDAEs ⋮ A new approach for force-displacement co-simulation using kinematic coupling constraints ⋮ Triangularizing kinematic constraint equations using Gröbner bases for real-time dynamic simulation ⋮ Real-time flexible multibody simulation with global modal parameterization ⋮ Stability and accuracy analysis of a discrete model reference adaptive controller without and with time delay ⋮ Smooth velocity approximation for constrained systems in real-time simulation ⋮ An ideal homokinetic joint formulation for general-purpose multibody real-time simulation ⋮ Automated independent coordinates' switching for the solution of stiff DAEs with the linearly implicit Euler method

Uses Software

• RODAS
• veDYNA
• Test Set for IVP Solvers
• MEXX

Cites Work

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• Generalization of backward differentiation formulas for parallel computers
• MBS approach to generate equations of motions for HiL-simulations in vehicle dynamics
• Efficient corrector iteration for DAE time integration in multibody dynamics
• A modified implicit Euler algorithm for solving vehicle dynamic equations
• Stabilization of constraints and integrals of motion in dynamical systems
• DAE time integration for real-time applications in multi-body dynamics
• Two implementations of IRK integrators for real-time multibody dynamics
• An Attempt to Avoid Exact Jacobian and Nonlinear Equations in the Numerical Solution of Stiff Differential Equations
• Partitioning strategies in Runge-Kutta type methods
• Sparsing in real time simulation
• A class of linearly-implicit Runge-Kutta methods for multibody systems

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