Show simple item record

contributor authorMichael A. Tognarelli
contributor authorJun Zhao
contributor authorAhsan Kareem
date accessioned2017-05-08T22:38:24Z
date available2017-05-08T22:38:24Z
date copyrightAugust 1997
date issued1997
identifier other%28asce%290733-9399%281997%29123%3A8%28890%29.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/84664
description abstractThis 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.
publisherAmerican Society of Civil Engineers
titleEquivalent Statistical Cubicization for System and Forcing Nonlinearities
typeJournal Paper
journal volume123
journal issue8
journal titleJournal of Engineering Mechanics
identifier doi10.1061/(ASCE)0733-9399(1997)123:8(890)
treeJournal of Engineering Mechanics:;1997:;Volume ( 123 ):;issue: 008
contenttypeFulltext


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record