scientific article

DOI10.1016/0168-9274(92)90059-MzbMath0770.70002MaRDI QIDQ1201031

Florian A. Potra, Linda R. Petzold

Publication date: 17 January 1993

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

zbMATH Keywords

Euler-Lagrange equationsmultibody systemsoverdetermined differential- algebraic equation

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Numerical methods for initial value problems involving ordinary differential equations (65L05) (n)-body problems (70F10) Lagrange's equations (70H03)

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Outer inverses and multi body system simulation, Numerical integration of rolling equations with the use of control theory, Numerical solution of differential-algebraic equations in mechanical systems simulation, Recursive formulas for design sensitivity analysis of mechanical systems, The discrete null-space method for the energy-consistent integration of constrained mechanical systems. I: Holonomic constraints, An automatic constraint violation stabilization method for differential/algebraic equations of motion in multibody system dynamics

Cites Work

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• Numerical solution of differential-algebraic equations for constrained mechanical motion
• Automatic integration of Euler-Lagrange equations with constraints
• Projected collocation for higher-order higher-index differential- algebraic equations
• On the existence and uniqueness of solutions of nonlinear semi-implicit differential-algebraic equations
• Differential-Algebraic Equation Index Transformations
• Extrapolation integrators for constrained multibody systems
• Stability of Computational Methods for Constrained Dynamics Systems