A perturbation analysis for the dynamical simulation of mechanical multibody systems

DOI10.1016/0168-9274(95)00042-SzbMath0833.70002MaRDI QIDQ1902062

Martin Arnold

Publication date: 26 February 1996

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

Euler-Lagrange equationsfrictionLagrangian multipliersdifferential-algebraic systemround-off errors

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Holonomic systems related to the dynamics of a system of particles (70F20) Perturbation methods for rigid body dynamics (70E20)

Related Items (8)

DAE Aspects of Multibody System Dynamics ⋮ Compact block boundary value methods for semi‐linear delay‐reaction–diffusion equations with algebraic constraints ⋮ Higher order event capturing time-stepping schemes for nonsmooth multibody systems with unilateral constraints and impacts ⋮ RATTLie: a variational Lie group integration scheme for constrained mechanical systems ⋮ Convergence of the generalized-\(\alpha\) scheme for constrained mechanical systems ⋮ On Lagrange multipliers in flexible multibody dynamics ⋮ Error analysis of generalized-\(\alpha\) Lie group time integration methods for constrained mechanical systems ⋮ Convergence Analysis for Approximations of Optimal Control Problems Subject to Higher Index Differential-Algebraic Equations and Pure State Constraints

Uses Software

• RODAS

Cites Work

• Numerical solution of differential-algebraic equations for constrained mechanical motion
• Automatic integration of Euler-Lagrange equations with constraints
• Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations
• Linearly implicit extrapolation methods for differential-algebraic systems
• Stability of numerical methods for differential-algebraic equations of higher index
• Half-explicit Runge-Kutta methods for semi-explicit differential- algebraic equations of index 1
• Solving Ordinary Differential Equations I
• Numerical Solution of Nonlinear Differential Equations with Algebraic Constraints I: Convergence Results for Backward Differentiation Formulas
• Stability of Computational Methods for Constrained Dynamics Systems
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