A novel derivation for modal derivatives based on Volterra series representation and its use in nonlinear model order reduction

M. Cruz Varona, R. Gebhart, P. Bilfinger, B. Lohmann, D. J. Rixen

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

This paper presents a novel derivation for modal derivatives based on the Volterra series representation of nonlinear structural systems. After reviewing the classical derivation, new modal derivatives are proposed based on the employment of the Volterra theory and the variational equation approach. It turns out that the gained new derivatives are almost identical to the conventional ones, except for the fact that a sum/subtraction of eigenfrequencies results in our definition. In addition to the novel derivation, some possible impacts and applications of the new derivatives are presented and discussed, pursuing the aim that the conceptual results are also useful for practical purposes.

Original languageEnglish
Title of host publicationCOMPDYN 2019 - 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Proceedings
EditorsManolis Papadrakakis, Michalis Fragiadakis
PublisherNational Technical University of Athens
Pages2376-2394
Number of pages19
ISBN (Electronic)9786188284470
StatePublished - 2019
Event7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2019 - Crete, Greece
Duration: 24 Jun 201926 Jun 2019

Publication series

NameCOMPDYN Proceedings
Volume2
ISSN (Print)2623-3347

Conference

Conference7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2019
Country/TerritoryGreece
CityCrete
Period24/06/1926/06/19

Keywords

  • Modal Derivatives
  • Model Order Reduction
  • Nonlinear Normal Modes
  • Nonlinear Structural Dynamics
  • Volterra series

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