4.7 Article

An identification approach for linear and nonlinear time-variant structural systems via harmonic wavelets

Journal

MECHANICAL SYSTEMS AND SIGNAL PROCESSING
Volume 37, Issue 1-2, Pages 338-352

Publisher

ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ymssp.2013.01.011

Keywords

Non-stationary random process; Nonlinear system; Harmonic wavelet; System identification; Multiple-input-single-output model

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A novel identification approach for linear and nonlinear time-variant systems subject to non-stationary excitations based on the localization properties of the harmonic wavelet transform is developed. Specifically, a single-input/single-output (SISO) structural system model is transformed into an equivalent multiple-input/single-output (MISO) system in the wavelet domain. Next, time and frequency dependent generalized harmonic wavelet based frequency response functions (GHW-FRFs) are appropriately defined. Finally, measured (non-stationary) input-output (excitation-response) data are utilized to identify the unknown GHW-FRFs and related system parameters. The developed approach can be viewed as a generalization of the well established reverse MISO spectral identification approach to account for non-stationary inputs and time-varying system parameters. Several linear and nonlinear time-variant systems are used to demonstrate the reliability of the approach. The approach is found to perform satisfactorily even in the case of noise-corrupted data. (C) 2013 Elsevier Ltd. All rights reserved.

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