Journal ArticleDOI
Non-linear parameter estimation with Volterra series using the method of recursive iteration through harmonic probing
TLDR
In this article, a parametric system identification approach has been adopted in the VOLTERRA series response structure for parameter estimation of polynomial form nonlinearity, where first and higher order frequency response functions are extracted from the measured response harmonic amplitudes through recursive iteration and relationships between higher order FRFs and first order FRF are then employed to estimate the nonlinear parameters.About:
This article is published in Journal of Sound and Vibration.The article was published on 2003-12-04. It has received 47 citations till now. The article focuses on the topics: Volterra series & Harmonic.read more
Citations
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Journal ArticleDOI
Past, present and future of nonlinear system identification in structural dynamics
TL;DR: In this article, a review of the past and recent developments in system identification of nonlinear dynamical structures is presented, highlighting their assets and limitations and identifying future directions in this research area.
Journal ArticleDOI
Volterra-series-based nonlinear system modeling and its engineering applications: A state-of-the-art review
TL;DR: In this paper, the basic definition of the Volterra series is recapitulated, together with some frequency domain concepts derived from the VOLTERRA series, including the general frequency response function (GFRF), the nonlinear output frequency response functions (NOFRF) and associated frequency response (AFRF), and a detailed review is then given on the applications of Volterras in mechanical engineering, aeroelasticity problem, control engineering, electronic and electrical engineering.
Journal ArticleDOI
Comparisons between harmonic balance and nonlinear output frequency response function in nonlinear system analysis
TL;DR: In this article, the harmonic components in the nonlinear system response to a sinusoidal input calculated using nonlinear output frequency response functions (NOFRFs) are one of the solutions obtained using the harmonic balance method (HBM).
Journal ArticleDOI
Structural damage assessment in a cantilever beam with a breathing crack using higher order frequency response functions
TL;DR: In this article, the bilinear restoring force is approximated by a polynomial series and a nonlinear dynamic model of the cracked structure is developed using higher order frequency response functions.
Journal ArticleDOI
Identification of cascade of Hammerstein models for the description of nonlinearities in vibrating devices
TL;DR: In this article, a simple method based on a phase property of exponential sine sweeps is proposed to identify the structural elements of a cascade of Hammerstein model from only one measured response of the system.
References
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Book
Modal Testing: Theory and Practice
TL;DR: A survey of the technology of modal testing, a new method for describing the vibration properties of a structure by constructing mathematical models based on test data rather than using conventional theoretical analysis.
Journal ArticleDOI
Structure identification of nonlinear dynamic systems—a survey on input/output approaches
R. Haber,Heinz Unbehauen +1 more
TL;DR: In this paper structure identification of block-oriented (especially cascade) models, of semi-linear dynamic models with signal-dependent parameters and of non linear dynamic models being linear in the parameters will be considered.
Journal ArticleDOI
Measuring Volterra kernels
TL;DR: In this paper, the authors introduce a pseudonoise test for measuring the second Volterra kernel of a weakly nonlinear system, which is analogous to the one we present in this paper.
Journal ArticleDOI
Measuring Volterra kernels (II)
Leon O. Chua,Youlin Liao +1 more
TL;DR: The quick method to measure directly the points of the Volterra kernels which are located along one or more axes in the frequency domain is developed, thus making the method complete and more accurate than that presented in Reference 1.
Journal ArticleDOI
Recent advances in the application of functional series to non-linear structures
S.J. Gifford,G.R. Tomlinson +1 more
TL;DR: In this article, it is shown that the Fourier transform of the Volterra and Wiener kernels of non-linear systems can be used to curve fit a non-lindear multi-degree-of-freedom parametric model to FRF data.