eprintid: 1240
rev_number: 8
eprint_status: archive
userid: 5
dir: disk0/00/00/12/40
datestamp: 2015-11-19 07:50:46
lastmod: 2015-11-19 07:51:58
status_changed: 2015-11-19 07:50:46
type: article
metadata_visibility: show
creators_name: Nguyen, Dong Anh
creators_name: Elishakoff, I.
creators_name: Nguyen, N. Hieu
title: Extension of the Regulated Stochastic Linearization to Beam Vibrations
ispublished: pub
subjects: Mechanics
subjects: isi
divisions: fac_fema
abstract: In this study, a version of the regulated stochastic linearization technique is proposed for the nonlinear random vibrations of Bernoulli–Euler nonlinear beams. For analysis, in order to balance the error of linearization, we utilize the regulated technique; namely, the appearing nonlinear terms are first replaced by higher-order nonlinear expressions that are subsequently reduced, in stages, to linear ones. It is demonstrated that this seemingly a “roundabout” way is extremely effective to derive a solution that turns out to be much closer to the results provided by the Monte Carlo simulation than those derived via the conventional or potential energy linearization techniques, in the cases of large nonlinearity.
date: 2014
date_type: published
official_url: doi:10.1016/j.probengmech.2013.07.001
full_text_status: none
publication: 2014: Probabilistic Engineering Mechanics
volume: 35
pagerange: 2-10
refereed: TRUE
citation:   Nguyen, Dong Anh and Elishakoff, I. and Nguyen, N. Hieu  (2014) Extension of the Regulated Stochastic Linearization to Beam Vibrations.  2014: Probabilistic Engineering Mechanics, 35 .   pp. 2-10.