eprintid: 1787
rev_number: 9
eprint_status: archive
userid: 5
dir: disk0/00/00/17/87
datestamp: 2016-07-06 06:32:06
lastmod: 2016-07-06 06:32:37
status_changed: 2016-07-06 06:32:06
type: article
metadata_visibility: show
creators_name: Nguyen, Dong Anh
creators_name: Le, X. Hung
creators_name: La, Duc Viet
creators_name: Nguyen, C. Thang
title: Global–local mean square error criterion for equivalent linearization of nonlinear systems under random excitation
ispublished: pub
subjects: Mechanics
divisions: fac_fema
abstract: The paper presents a dual approach with respect to the local mean square error criterion to multi-degree-of-freedom nonlinear systems under stationary Gaussian random excitation. It results in new values of linearization coefficients that are obtained as global averaged values of all local linearization coefficients. Two examples of typical two-degree-of-freedom nonlinear systems under zero-mean stationary Gaussian random excitation are demonstrated. The results show that the accuracy of solutions by the proposed criterion is significantly improved in comparison with the one by the classical equivalent linearization method, especially when the nonlinearity is strong.
date: 2015-09
date_type: published
full_text_status: none
publication: Acta Mechanica
volume: 226
number: 9
pagerange: 3011-3029
refereed: TRUE
citation:   Nguyen, Dong Anh and Le, X. Hung and La, Duc Viet and Nguyen, C. Thang  (2015) Global–local mean square error criterion for equivalent linearization of nonlinear systems under random excitation.  Acta Mechanica, 226  (9).   pp. 3011-3029.