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Nonlinear Dynamics

, Volume 86, Issue 3, pp 2023–2034 | Cite as

Characterization of the nonlinear response of defective multi-DOF oscillators using the method of phase space topology (PST)

  • M. SamadaniEmail author
  • C. A. Kitio Kwuimy
  • C. Nataraj
Original Paper

Abstract

Most engineered systems are nonlinear and exhibit phenomena that can only be predicted by nonlinear models. However, the application of model-based approaches for diagnostics has been constrained mostly to linearized or simplified models. This paper introduces a fundamentally new approach (“PST”) for characterization of nonlinear response of systems based on the topology of the phase space trajectory. The method uses the density distribution of the system states to quantify this topology and extracts features that can be used for system diagnostics. The various parameters of the PST method have been analyzed to explore the effectiveness of the method, and it has been employed in the non-trivial diagnostics problem of a multiple degree of freedom oscillator system with various defects occurring simultaneously.

Keywords

Phase space topology Diagnostics Fault detection Feature extraction Parameter estimation Time series Nonlinear systems 

Notes

Acknowledgments

This work is supported by the US Office of Naval Research under the grant ONR N00014-13-1-0485 with Mr. Anthony Seman III and Captain Lynn Petersen as the Program Managers. We deeply appreciate this support and are humbled by ONR’s enthusiastic recognition of the importance of this research.

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Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  1. 1.The Villanova Center for Analytics of Dynamic Systems (VCADS), College of EngineeringVillanova UniversityVillanovaUSA
  2. 2.Department of Engineering Education, College of Engineering and Applied ScienceUniversity of CincinnatiCincinnatiUSA

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