Characterization of a strongly nonlinear laboratory benchmark system

D. Michael McFarland, Alexander F. Vakakis, Lawrence A. Bergman, Timothy J. Copeland

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


A two-degree-of-freedom test structure originally developed to exhibit essentially nonlinear (nonlinearizable) stiffness in one of its connections has been modified to display a variable linear term in parallel with the existing nonlinear spring. This structure will be used in generating data for input to new algorithms for nonlinear system identification. In this paper, we report results from experiments in controlling the linear term introduced by applying an initial tension (preload) to the nonlinear spring, including the estimation of the parameters of a nonlinear force-displacement relation. It is shown that a sufficiently large initial tension results in predominantly linear behavior, meaning the same test setup can be used to produce dynamic behavior ranging from nearly linear to essentially nonlinear.

Original languageEnglish (US)
Title of host publicationDynamics of Civil Structures - Proceedings of the 28th IMAC, A Conference on Structural Dynamics, 2010
Number of pages6
ISBN (Print)9781441998309
StatePublished - 2011

Publication series

NameConference Proceedings of the Society for Experimental Mechanics Series
ISSN (Print)2191-5644
ISSN (Electronic)2191-5652

ASJC Scopus subject areas

  • Engineering(all)
  • Computational Mechanics
  • Mechanical Engineering


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