Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/758
Title: Closed form solutions of weakly nonlinear multi-degree of freedom systems with single nonlinear element
Authors: Özer, Mehmet Bülent
Keywords: Nonlinear System Identificatiob
frequency response
function
vibration tests
Issue Date: May-2015
Publisher: Academic Press
Source: Özer, M. B. (2015). Closed form solutions of weakly nonlinear multi-degree of freedom systems with single nonlinear element. Journal of Sound and Vibration, 344, 345-362.
Abstract: In this study, a new method which provides closed form expressions for the frequency domain solutions of multi-degree of freedom systems is introduced. The method is applicable for a multi-degree of freedom system with a single weak nonlinear element. Using this method a multi-degree of freedom system with a single nonlinear element can be put into a form such that solution of the linear part of the system along with the solution of a single nonlinear equation gives the nonlinear system response. The analytic solution of this nonlinear scalar equation is provided for cubic stiffness and Coulomb damping cases. The proposed approach is implemented on case studies of systems with cubic stiffness and dry friction elements. The results show that the method is accurate and completely eliminates the need for an iterative solution; hence, significant time savings can be obtained for large systems. The lack of need for iteration makes the method ideal for large finite element models with a single nonlinear element. © 2015 Elsevier Ltd. All rights reserved.
URI: https://www.sciencedirect.com/science/article/pii/S0022460X15000929
ISSN: 0022460X
Appears in Collections:Makine Mühendisliği Bölümü / Department of Mechanical Engineering
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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