Toward a systematic construction of the basis for nonlinear geometric reduced order models

X. Q. Wang, Marc P. Mignolet

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

Abstract

Reduced order modeling for nonlinear geometric vibrations of thin-walled structures has been an active research subject in the last two decades due, in particular, to its advantage in significantly reducing the computational cost of determining the dynamic response. Two key issues of this modeling are the construction of the basis and the identification of nonlinear stiffness coefficients. The present study focuses on the basis construction and a systematic strategy is proposed to achieve it using data derived from the linear modes of the structure with some general information about the dynamic loading, e.g., cut-off frequency. Thus, the basis is applicable to a broad range of such dynamic loadings. A clamped-clamped straight beam is used to demonstrate the construction of bases according to the proposed strategy. A force distribution mapped from measured aerodynamic pressure distribution is used as loading for which both static and dynamic nonlinear responses are obtained at various levels, from weakly to very strong nonlinear, and from both finite element and reduced order models. This data is used to assess the constructed bases and validate the predictions of the ensuing reduced order models. It is shown that the constructed bases provide a very good representation of the finite element nonlinear structural responses and that the corresponding reduced order model lead to accurate predictions of these responses. The importance of adding out-of-band linear modes in the basis is also demonstrated.

Original languageEnglish (US)
Title of host publicationEURODYN 2020 - 11th International Conference on Structural Dynamics, Proceedings
EditorsManolis Papadrakakis, Michalis Fragiadakis, Costas Papadimitriou
PublisherEuropean Association for Structural Dynamics
Pages335-354
Number of pages20
ISBN (Electronic)9786188507203
StatePublished - 2020
Externally publishedYes
Event11th International Conference on Structural Dynamics, EURODYN 2020 - Virtual, Athens, Greece
Duration: Nov 23 2020Nov 26 2020

Publication series

NameProceedings of the International Conference on Structural Dynamic , EURODYN
Volume1
ISSN (Print)2311-9020

Conference

Conference11th International Conference on Structural Dynamics, EURODYN 2020
Country/TerritoryGreece
CityVirtual, Athens
Period11/23/2011/26/20

Keywords

  • Basis construction
  • Non-intrusive reduced order modeling
  • Nonlinear geometric vibration

ASJC Scopus subject areas

  • Building and Construction
  • Architecture
  • Civil and Structural Engineering

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