Improving the Accuracy of Newmark-Based Time Integration Methods

EasyChair Preprint 13502

Abstract

The generalized-α method is a Newmark-type integrator that has become a standard approach for the time integration of the equations of motion of multibody systems. An extension of generalized-α for multibody systems with a configuration space with Lie group structure has been proposed, which we refer to as Lie group generalized-α in the following. A primary motivation for the present study arises from recent investigations, showing that the conventional generalized-α method often achieves higher accuracy than Lie group generalized-α when simulating rigid multibody systems. In this work, we present improvements for the time integration of constrained multibody systems, using Lie group methods applied to Newmark-based time integration methods.

Keyphrases: Lie group time integration, Newmark, constrained multibody systems

@booklet{EasyChair:13502,
  author    = {Stefan Holzinger and Martin Arnold and Johannes Gerstmayr},
  title     = {Improving the Accuracy of Newmark-Based Time Integration Methods},
  howpublished = {EasyChair Preprint 13502},
  year      = {EasyChair, 2024}}