Equivalent Statistical Cubicization for System and Forcing Nonlinearities
Publication: Journal of Engineering Mechanics
Volume 123, Issue 8
Abstract
This technical note outlines the treatment of a single-degree-of-freedom (SDOF) system containing statistically symmetric nonlinearities in both its stiffness characteristics and its excitation. Via equivalent statistical cubicization, the nonlinearities that are not in polynomial form are cast as polynomials containing firstand third-order terms. This allows the use of a Volterra series approach that yields a system of two differential equations for the firstand third-order components of the response. Transforming this system into the frequency domain produces transfer functions from which power spectral density and statistics up to the fourth order may be obtained for the system response. Finally, using the statistics within the framework of a moment-based Hermite transformation model yields an estimate of the non-Gaussian probability-density function (PDF) for the system response.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 123 • Issue 8 • August 1997
Pages: 890 - 893
Copyright
Copyright © 1997 American Society of Civil Engineers.
History
Published online: Aug 1, 1997
Published in print: Aug 1997
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