Nonlinear Dynamics

, Volume 39, Issue 1–2, pp 95–112 | Cite as

A General Data-Based Approach for Developing Reduced-Order Models of Nonlinear MDOF Systems

  • S. F. Masri
  • J. P. Caffrey
  • T. K. Caughey
  • A. W. Smyth
  • A. G. Chassiakos


A general procedure is presented for analyzing dynamic response measurements from complex multi-degree-of-freedom nonlinear systems incorporating arbitrary types of nonlinear elements. The analysis procedure develops a reduced-order, nonlinear model whose format is convenient for numerical simulation studies. No information about the system’s mass properties is needed, and only the applied excitations and corresponding response are needed to develop the model whose dimension is compatible with the number of available sensors. The utility of the approach is demonstrated by means of a three-degree-of-freedom system incorporating polynomial-type nonlinear features with hardening as well as softening characteristics.

Key words

identification modeling nonlinear systems simulation validation 


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Copyright information

© Springer Science + Business Media, Inc. 2005

Authors and Affiliations

  • S. F. Masri
    • 1
  • J. P. Caffrey
    • 1
  • T. K. Caughey
    • 2
  • A. W. Smyth
    • 3
  • A. G. Chassiakos
    • 4
  1. 1.School of EngineeringUniversity of Southern CaliforniaLos AngelesU.S.A.
  2. 2.Division of Engineering & Applied ScienceCalifornia Institute of TechnologyPasadenaU.S.A.
  3. 3.School of Engineering & Applied ScienceColumbia UniversityNew YorkU.S.A.
  4. 4.School of EngineeringCalifornia State UniversityLong BeachU.S.A.

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