Model order reduction for temperature-dependent nonlinear mechanical systems: A multiple scales approach

Shobhit Jain*, Paolo Tiso

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

12 Citations (Scopus)

Abstract

The thermal dynamics in thermo-mechanical systems exhibits a much slower time scale compared to the structural dynamics. In this work, we use the method of multiple scales to reduce the thermo-mechanical structural models with a slowly-varying temperature distribution in a systematic manner. In the process, we construct a reduction basis that adapts according to the instantaneous temperature distribution of the structure, facilitating an efficient reduction in the number of unknowns. As a proof of concept, we demonstrate the method on a range of linear and nonlinear beam examples and obtain a consistently better accuracy and reduction in the number of unknowns than the standard Galerkin projection using a constant basis.

Original languageEnglish
Article number115022
JournalJournal of Sound and Vibration
Volume465
DOIs
Publication statusPublished - 2020
Externally publishedYes

Keywords

  • Adaptive reduction basis
  • Method of multiple scales
  • Model order reduction
  • Thermo-mechanical systems

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