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.

An Attempt at the Classification of Energy Decaying Schemes for Structural and Multibody Dynamics

BOTTASSO, CARLO LUIGI;TRAINELLI, LORENZO
2004

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.
nonlinear dynamics; multibody dynamics; energy preserving/decaying schemes; high frequency damping; finite element method
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11311/548482
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