Multiple Analytical Mode Decompositions for Nonlinear System Identification from Forced Vibration

Abstract

In this study, multiple analytical mode decompositions (M-AMD) are proposed to identify the parameters of nonlinear structures from forced vibration. For the time-varying damping (or stiffness) coefficient of a weakly-to-moderately nonlinear system, the slow-varying part is first estimated from the system responses and their Hilbert transforms, which is corrected with an adaptive low-pass filter referred to as analytical mode decomposition (AMD). The fast-varying part can then be identified from the responses together with the estimated slow-varying part, which is again corrected with the AMD. The computational efficiency and accuracy of the proposed M-AMD are demonstrated with a Duffing oscillator subjected to harmonic loading. The errors in estimation of all model parameters are less than 3% from uncontaminated displacement responses, which is more accurate compared with the results from Hilbert spectral analysis. Changes of the fast-varying stiffness part have been taken into account with high accuracy. The M-AMD algorithm is then validated with a ¼-scale, 3-story building with one piezoelectric friction damper under earthquake excitations. The parameters of such a semi-active damper are identified with less than 1% error on average.

Department(s)

Civil, Architectural and Environmental Engineering

Comments

Financial support to complete this study was provided by the U.S.National Science Foundation under Award No. CMMI1538416.

Keywords and Phrases

Adaptive filtering; Adaptive filters; Computational efficiency; Earthquakes; Hilbert spaces; Low pass filters; Mathematical transformations; Nonlinear systems; Religious buildings; Signal processing; Spectrum analysis; Stiffness; Analytical mode decompositions; Displacement response; Earthquake excitation; Forced vibration; Hilbert spectral analysis; Hilbert transform; Piezoelectric friction damper; Semi-active dampers; Vibration analysis; Algorithm; Building; Damping; Decomposition analysis; Earthquake engineering; Error analysis; Identification method; Nonlinearity; Seismic response; Signal processing; Spectral analysis; Transform; Vibration; Analytical mode decomposition; Nonlinear system identification

International Standard Serial Number (ISSN)

0141-0296

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2018 Elsevier, All rights reserved.

Publication Date

01 Oct 2018

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