Solving constrained mechanical systems by the family of Newmark and α-methods

DOI10.1002/zamm.200610285zbMath1116.70008OpenAlexW2019849374MaRDI QIDQ3418220

Bernd Simeon, Christoph Lunk

Publication date: 2 February 2007

Published in: ZAMM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.200610285

zbMATH Keywords

convergenceRATTLE method

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)

Related Items

Novel partitioned time integration methods for DAE systems based on L-stable linearly implicit algorithms, On the numerical damping of time integrators for coupled mechatronic systems, Convergence of generalized-\(\alpha\) time integration for nonlinear systems with stiff potential forces, The contact problem in Lagrangian systems subject to bilateral and unilateral constraints, with or without sliding Coulomb's friction: a tutorial, DAE Aspects of Multibody System Dynamics, A Second Order Extension of the Generalized–α Method for Constrained Systems in Mechanics, Unnamed Item, Energy conservation and dissipation properties of time‐integration methods for nonsmooth elastodynamics with contact, Convergence of the generalized-\(\alpha\) scheme for constrained mechanical systems, A constrained generalised-\(\alpha\) method for coupling rigid parallel chain kinematics and elastic bodies, 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 Reverse Method of Lines in Flexible Multibody Dynamics, Coupled hard-soft tissue simulation with contact and constraints applied to jaw-tongue-hyoid dynamics, Variationally consistent discretization schemes and numerical algorithms for contact problems, The fully implicit stochastic-\(\alpha \) method for stiff stochastic differential equations, Solving constrained mechanical systems by the family of Newmark and α-methods, A nonholonomic Newmark method, A new representation of systems with frictional unilateral constraints and its Baumgarte-like relaxation

Cites Work

• Unnamed Item
• Superelements modelling in flexible multibody dynamics
• Energy-consistent numerical integration of mechanical systems with mixed holonomic and nonholonomic constraints
• Solving constrained mechanical systems by the family of Newmark and α-methods