Using Symbolic Computational Dynamics as an aid to design

Matthew P. Cartmell, Niloufar Motazedi

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Abstract

Symbolic Computational Dynamics is motivated by the utility of approximate analytical solutions for reduced order models. Application is limited by the algebra needed for problems of more than a few coupled coordinates, making them excellent candidates for automation through symbolic computation. But there is a lot of useful information that is naturally lost when doing this, due to the on-going processes of algebraic simplification, the different mathematical-physical processes behind the small parameter, and defining relative strengths of physically based terms. We offer an entirely novel symbolic computational process that applies a semi-automated asymptotic method that retains all information in an easy-to-interpret visualisation.
Original languageEnglish
Title of host publicationIUTAM Symposium on Exploiting Nonlinear Dynamics for Engineering Systems
EditorsIvana Kovacic, Stefano Lenci
Place of PublicationCham, Switzerland
PublisherSpringer
Chapter8
Pages81-90
Number of pages10
ISBN (Electronic)9783030236922
ISBN (Print)9783030236946, 9783030236915
DOIs
Publication statusPublished - 25 Jul 2019

Keywords

  • symbolic computational dynamics
  • nonlinear dynamics
  • perturbation method
  • design

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