A Second Order Extension of the Generalized–α Method for Constrained Systems in Mechanics

DOI10.1007/978-1-4020-8829-2_8zbMath1303.70004OpenAlexW1034986682MaRDI QIDQ2937999

O. Laurent Jay, Dan Negrut

Publication date: 13 January 2015

Published in: Multibody Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4020-8829-2_8

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Nonholonomic systems related to the dynamics of a system of particles (70F25) Holonomic systems related to the dynamics of a system of particles (70F20) Dynamics of multibody systems (70E55)

Related Items (6)

Convergence of generalized-\(\alpha\) time integration for nonlinear systems with stiff potential forces ⋮ DAE Aspects of Multibody System Dynamics ⋮ Improved second-order unconditionally stable schemes of linear multi-step and equivalent single-step integration methods ⋮ 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 ⋮ A nonholonomic Newmark method

Cites Work

• Unnamed Item
• Extensions of the HHT-\(\alpha \) method to differential-algebraic equations in mechanics
• A time integration algorithm for flexible mechanism dynamics: The DAE \(\alpha\)-method
• A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
• Solving constrained mechanical systems by the family of Newmark and α-methods
• Time integration of the equations of motion in mechanism analysis
• Dynamics of Multibody Systems

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