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A Nonparametric Identification Technique for a Variety of Discrete Nonlinear Vibrating Systems

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This article is published in Journal of Vibration and Acoustics-transactions of The Asme.The article was published on 1985-01-01. It has received 38 citations till now. The article focuses on the topics: Nonparametric statistics.

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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.
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A wavelet-based approach for model and parameter identification of non-linear systems

TL;DR: In this article, a wavelet-based discretization of the non-linear governing differential equation of motion is used to identify the mechanical parameters of zero-memory nonlinear discrete structural systems.
Journal ArticleDOI

Direct parameter estimation for linear and non-linear structures

TL;DR: In this article, a method for directly estimating the physical parameter matrices, i.e., mass, stiffness and damping, of linear and non-linear structures by using measured time data is presented.
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Developments in the force-state mapping technique for non-linear systems and the extension to the location of non-linear elements in a lumped-parameter system

TL;DR: In this article, the implementation of the force-state mapping approach to the identification of single and multi-degree-of-freedom non-linear systems is considered, and a method for identifying the type and location of discrete nonlinear elements in a lumped-parameter system is presented.
Journal ArticleDOI

Identification of Nonlinear Multi-Degree-of-Freedom Systems : Presentation of an Identification Technique

TL;DR: In this paper, a new technique of identifying nonlinear multi-degree-of-freedom systems has been presented, where the basic procedures of this technique are : (1) obtaining the data of a periodic external force applied to the system and of the periodic steady-state response induced by it; (2) expressing the nonlinear terms of the system in the form of polynomials with unknown coefficients; and (3) determining the unknown coefficients by expressing the necessary quantities in Fourier series and applying the principle of harmonic balance.
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