On the derivation of energy consistent time stepping schemes for friction afflicted multibody systems

Authors:
Stefan Uhlar;Peter Betsch
Affiliations:
Chair of Computational Mechanics, Department of Mechanical Engineering, University of Siegen, 57076 Siegen, Germany;Chair of Computational Mechanics, Department of Mechanical Engineering, University of Siegen, 57076 Siegen, Germany
Venue:
Computers and Structures
Year:
2010

Citing 3
Cited 0

An efficient computational method for real time multibody dynamic simulation in fully cartesian coordinates

Computer Methods in Applied Mechanics and Engineering
Mechanical systems subject to holonomic constraints: differential—algebraic formulations and conservative integration

Physica D
Kinematic and Dynamic Simulation of Multibody Systems: The Real Time Challenge

Kinematic and Dynamic Simulation of Multibody Systems: The Real Time Challenge

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Abstract

The work outlines the modeling of dissipative effects in multibody systems while designing an energy consistent time integration scheme. Standard integrators typically lead to numerical growth or decay of energy while solving the equations of motion. Consequently it is almost impossible to distinguish between physically based dissipation and numerical dissipation. The present contribution relies on a thermodynamically consistent modeling of dissipation. This formulation facilitates the design of time integration schemes which preserve mechanical quantities like linear and angular momentum and total energy balance. Examples deal with standard mass point systems as well as applications to complex closed loop multibody systems.