Spectral Identification of Nonlinear Structural Systems
Publication: Journal of Engineering Mechanics
Volume 124, Issue 7
Abstract
The paper discusses a spectral method for identification of nonlinear systems encountered in structural applications. The nonlinearity is accounted for by a combination of linear subsystems and known zero-memory nonlinear transformations; an equivalent linear multi-input-single-output (MISO) system is developed for the identification problem. The unknown transfer functions of the MISO system are identified by assembling a system of linear equations in the frequency domain. This system is solved by performing the Cholesky decomposition of a related matrix. It is shown that the proposed identification method can be interpreted as a “Gram-Schmidt” type of orthogonal decomposition of the input-output quantities of the equivalent MISO system. A numerical example involving the identification of unknown parameters of a Duffing oscillator with nonlinear damping elucidates the applicability of the proposed method.
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Information
Published In
Journal of Engineering Mechanics
Volume 124 • Issue 7 • July 1998
Pages: 728 - 733
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Jul 1, 1998
Published in print: Jul 1998
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