The method of proper orthogonal decomposition for dynamical characterization and order reduction of mechanical systems: An overview

Gaetan Kerschen, Jean Claude Golinval, Alexander F. Vakakis, Lawrence A. Bergman

Research output: Contribution to journalReview article

Abstract

Modal analysis is used extensively for understanding the dynamic behavior of structures. However, a major concern for structural dynamicists is that its validity is limited to linear structures. New developments have been proposed in order to examine nonlinear systems, among which the theory based on nonlinear normal modes is indubitably the most appealing. In this paper, a different approach is adopted, and proper orthogonal decomposition is considered. The modes extracted from the decomposition may serve two purposes, namely order reduction by projecting high-dimensional data into a lower-dimensional space and feature extraction by revealing relevant but unexpected structure hidden in the data. The utility of the method for dynamic characterization and order reduction of linear and nonlinear mechanical systems is demonstrated in this study.

Original languageEnglish (US)
Pages (from-to)147-169
Number of pages23
JournalNonlinear Dynamics
Volume41
Issue number1-3
DOIs
StatePublished - Aug 1 2005

Keywords

  • Dynamic characterization
  • Order reduction
  • Proper orthogonal decomposition

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanical Engineering
  • Applied Mathematics
  • Electrical and Electronic Engineering

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