Computing smooth solutions of DAEs for elastic multibody systems

DOI10.1016/S0898-1221(99)00077-2zbMath0954.74027OpenAlexW2086169414MaRDI QIDQ1962993

Werner C. Rheinboldt, Bernd Simeon

Publication date: 20 January 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(99)00077-2

zbMATH Keywords

asymptotic methodapproximate solutionsdifferential-algebraic equationselastic multibody systemsaverage solutionsmooth motionimplicitly defined manifoldsrigid mechanical systemsMANPAK algorithms

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Thin bodies, structures (74K99) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Numerical methods for differential-algebraic equations (65L80) Dynamics of multibody systems (70E55)

Related Items (4)

Dynamics of a rope modeled as a discrete system with extensible members ⋮ Convergence of generalized-\(\alpha\) time integration for nonlinear systems with stiff potential forces ⋮ On Lagrange multipliers in flexible multibody dynamics ⋮ Dynamic simulation of crankshaft multibody systems

Uses Software

• Matlab
• MBSPACK
• MANPAK
• Matlab PDE toolbox

Cites Work

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• Solving algebraically explicit DAEs with the MANPAK-manifold-algorithms
• MANPAK: A set of algorithms for computations on implicitly defined manifolds
• DAEs and PDEs in elastic multibody systems
• Integration of stiff mechanical systems by Runge-Kutta methods
• A nonlinear truck model and its treatment as a multibody system
• Extrapolation integrators for constrained multibody systems
• Modelling a flexible slider crank mechanism by a mixed system of DAEs and PDEs

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