A time integration algorithm for flexible mechanism dynamics: The DAE \(\alpha\)-method

DOI10.1016/S0045-7825(97)00261-2zbMath0949.70006MaRDI QIDQ1817851

Soumyendu Raha, Jeng Yen, Linda R. Petzold

Publication date: 2 February 2000

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

stabilityconvergenceflexible mechanismmodified Newton iterationindex-2 differential-algebraic equationsfamily of second-order methods

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Dynamics of multibody systems (70E55)

Related Items

Conservation properties of a time FE method?part III: Mechanical systems with holonomic constraints, DAE Aspects of Multibody System Dynamics, A Second Order Extension of the Generalized–α Method for Constrained Systems in Mechanics, Unnamed Item, Unnamed Item, Dynamic analysis of 3D beams with joints in the presence of large rotations, The Hilber–Hughes–Taylor-α (HHT-α) method compared with an implicit Runge–Kutta for second-order systems, Runge-Kutta-Nyström methods with maximized stability domain in structural dynamics, The discrete null-space method for the energy-consistent integration of constrained mechanical systems. I: Holonomic constraints, Error analysis of generalized-\(\alpha\) Lie group time integration methods for constrained mechanical systems, Regularized numerical integration of multibody dynamics with the generalized \(\alpha \) method, The fully implicit stochastic-\(\alpha \) method for stiff stochastic differential equations, Order reduction of stiff solvers at elastic multibody systems, Efficient numerical solution of constrained multibody dynamics systems

Uses Software

• MBSPACK
• RODAS

Cites Work

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