Extension of the regulated stochastic linearization to beam vibrations

Authors

• N. D. Anh, Vietnamese Academy of Science and Technology Institute of Mechanics
• Isaac Elishakoff, Florida Atlantic University
• N. N. Hieu, Vietnamese Academy of Science and Technology Institute of Mechanics

Author Type

Outside Researcher

Co-Author Type 1

Faculty

Co-Author Type 2

Outside Researcher

Co-Author Type 3

Outside Researcher

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Article

Publication/Event/Conference Title

Probabilistic Engineering Mechanics

Publication Status

Version of Record

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. © 2013 Elsevier Ltd.

First Page

2

Last Page

10

DOI

10.1016/j.probengmech.2013.07.001

Publication Date

1-1-2014

Recommended Citation

Anh, N. D.; Elishakoff, Isaac; and Hieu, N. N., "Extension of the regulated stochastic linearization to beam vibrations" (2014). Faculty Scholarship. 325.
https://digitalcommons.fau.edu/faculty_papers/325