A New Method for Detecting the Time-Varying Nonlinear Damping in Nonlinear Oscillation Systems: Nonparametric Identification
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Jang-2011-A New Method for Det.pdf
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1.63 MB
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Author(s)
Jang, T. S.
Baek, Hyoung Su
Kim, M. C.
Moon, B. Y.
Date Issued
January 2011
Journal
Mathematical Problems in Engineering
Publisher
Hindawi Publishing Corporation
Citation
Jang, T. S. et al. “A New Method for Detecting the Time-Varying Nonlinear Damping in Nonlinear Oscillation Systems: Nonparametric Identification.” Mathematical Problems in Engineering 2011 (2011): 1–12.
Version
Final published version
Abstract
This paper presents an original method that can be used for identifying time-varying nonlinear damping characteristics of a nonlinear oscillation system. The method developed involves the nonparametric identification, in which only the system responses, namely, displacement and velocity need to be known for the identification. However, the method is concerned with a Volterra-type integral equation of the first kind, which leads to an instability of numerical solutions. That is, the solutions identified lack stability properties. In order to overcome the difficulty, a stabilization technique is applied to the identification process. A numerical example comprising a highly nonlinear system is examined to demonstrate the workability of the proposed method for the time-varying damping identification.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution 3.0
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DOI of Published Version
https://doi.org/10.1155/2011/749309
