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A numerical scheme for recovering the nonlinear characteristics of a single degree of freedom structure: Non-parametric system identification

Authors
Park, J.Jang, T.S.Syngellakis, S.Sung, H.G.
Issue Date
2014
Publisher
WITPress
Keywords
Dynamic response data; Non-parametric system identification; Nonlinear damping; Nonlinear stiffness; Single-degree-of-freedom
Citation
WIT Transactions on the Built Environment, v.141, pp 335 - 344
Pages
10
Journal Title
WIT Transactions on the Built Environment
Volume
141
Start Page
335
End Page
344
URI
https://www.kriso.re.kr/sciwatch/handle/2021.sw.kriso/8727
DOI
10.2495/SUSI140291
ISSN
1743-3509
Abstract
The aim of this paper is to present a numerical scheme for the identification of the nonlinear characteristics of a dynamically excited, single degree of freedom structure, using a non-parametric procedure, recently proposed by the second author; this involves the simultaneous identification of the nonlinear characteristics of both damping and restoring force in dynamic systems whose damping depends on velocity alone. According to this method, the response of the structure is first measured then an integral equation accounting for its unknown nonlinear characteristics is derived. This is an integral equation of the first kind, involving numerical instability in the Hadamard sense. To overcome this difficulty, the Landweber regularization, combined with the L-curve criterion, is applied to the integral equation. Adopting a dynamic model for a test structure, the corresponding nonlinear system identification is achieved through the proposed numerical solution of the governing integral equation. ? 2014 WIT Press.
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친환경해양개발연구본부 (심해공학연구센터)
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