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Meccanica

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29-03-2016

Generalization of Seide’s problem by the regulated stochastic linearization technique

Authors: N. D. Anh, I. Elishakoff, N. N. Hieu

Published in: Meccanica | Issue 4-5/2017

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Abstract

In this paper, the nonlinear random vibration of a uniform beam clamped at both of its ends is investigated by the regulated stochastic linearization technique. A closed system of nonlinear algebraic equations for linearization coefficients is obtained using the frequency–response function matrix. Root mean-square response of maximum deflection of the beam that is obtained from the present technique is subsequently compared with that furnished by the conventional linearization. The numerical results show that the regulated stochastic linearization technique constitutes an excellent alternative to the classical linearization scheme for analyzing responses of the clamped–clamped beam.

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Title: Generalization of Seide’s problem by the regulated stochastic linearization technique
Authors: N. D. Anh
I. Elishakoff
N. N. Hieu
Publication date: 29-03-2016
Publisher: Springer Netherlands
Published in: Meccanica / Issue 4-5/2017
Print ISSN: 0025-6455
Electronic ISSN: 1572-9648
DOI: https://doi.org/10.1007/s11012-016-0421-3

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