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Predictable integration of constrained dynamic systems

Published on:

8 February 2024

Primary Category:

Numerical Analysis

Paper Authors:

Igor Fernandez de Bustos,

Haritz Uriarte,

Gorka Urkullu,

Vanessa Garcia-Marina

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Key Details

Constraints often cause unpredictable stability issues in dynamic system integration

New approach integrates system in instantaneous minimal coordinates from null space

Allows standard linear stability analysis to be applied, unlike standard methods

Experiments validate predictable stability behavior of new approach

Can be used alongside any integration method like Newmark or HHT

AI generated summary

Predictable integration of constrained dynamic systems

This paper presents a new approach to integrate constrained dynamic systems, like those found in multibody dynamics, while avoiding unpredictable stability behavior. It allows standard linear stability analysis to be applied by performing the integration in a set of instantaneous minimal coordinates obtained through the null space. This avoids interference from constraints during integration. Numerical experiments validate the methodology and show predictable stability compared to standard methods.

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