An attempt at the classification of energy decaying schemes for structural and multibody dynamics

Carlo L. Bottasso, Lorenzo Trainelli

Research output: Contribution to journalReview articlepeer-review

14 Scopus citations

Abstract

This paper analyzes the formulation of energy preserving/decaying schemes for dynamics problems. We argue that any energy preserving/decaying scheme can always be seen as composed of an underlying temporal discretization, that is then slightly modified in order to prove a discrete energy bound within a time step. While the details of the modified scheme depend in a critical way on the governing equations, the underlying discretization can in principle be applied to a variety of models. We review some of the temporal underlying schemes recently proposed in the literature, presenting them with a common notation. We show their similarities and highlight their differences.

Original languageEnglish
Pages (from-to)173-185
Number of pages13
JournalMultibody System Dynamics
Volume12
Issue number2
DOIs
StatePublished - Sep 2004
Externally publishedYes

Keywords

  • Energy preserving/decaying schemes
  • Finite element method
  • High frequency damping
  • Multibody dynamics
  • Nonlinear dynamics

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