On the numerical damping of time integrators for coupled mechatronic systems

DOI10.1016/j.cma.2007.08.007zbMath1169.70300OpenAlexW2038025472MaRDI QIDQ839231

Jean-Claude Golinval, Olivier Brüls

Publication date: 1 September 2009

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

Full work available at URL: https://doi.org/10.1016/j.cma.2007.08.007

zbMATH Keywords

flexible multibody dynamicsmechatronicscoupled problemsgeneralized-\(\alpha \) schemenumerical damping

Mathematics Subject Classification ID

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

Uses Software

• RODAS

Cites Work

• Extensions of the HHT-\(\alpha \) method to differential-algebraic equations in mechanics
• A generalized-\(\alpha\) method for integrating the filtered Navier-Stokes equations with a stabilized finite element method
• The analysis of the generalized-\(\alpha\) method for nonlinear dynamic problems
• Convergence of the generalized-\(\alpha\) scheme for constrained mechanical systems
• Multiphysics modeling and optimization of mechatronic multibody systems
• A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
• The generalized-α method in mechatronic applications
• Solving constrained mechanical systems by the family of Newmark and α-methods
• Time integration of the equations of motion in mechanism analysis
• Backward Differentiation Approximations of Nonlinear Differential/Algebraic Systems
• Numerical Solution of Nonlinear Differential Equations with Algebraic Constraints I: Convergence Results for Backward Differentiation Formulas
• Vibration control of active structures. An introduction
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