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Characterization of a Strongly Nonlinear Laboratory Benchmark System

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Abstract

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.

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References

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Correspondence to D. Michael McFarland .

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McFarland, D.M., Vakakis, A.F., Bergman, L.A., Copeland, T.J. (2011). Characterization of a Strongly Nonlinear Laboratory Benchmark System. In: Proulx, T. (eds) Dynamics of Civil Structures, Volume 4. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-9831-6_1

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  • DOI: https://doi.org/10.1007/978-1-4419-9831-6_1

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-9830-9

  • Online ISBN: 978-1-4419-9831-6

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