Generalization of Seide’s problem by the regulated stochastic linearization technique
College
Engineering and Computer Science
Department
Ocean and Mechanical Engineering
Document Type
Article
Publication/Event/Conference Title
Meccanica
Publication Status
Version of Record
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.
First Page
1003
Last Page
1016
DOI
10.1007/s11012-016-0421-3
Publication Date
3-1-2017
Recommended Citation
Anh, N. D.; Elishakoff, Isaac; and Hieu, N. N., "Generalization of Seide’s problem by the regulated stochastic linearization technique" (2017). Faculty Scholarship. 285.
https://digitalcommons.fau.edu/faculty_papers/285