A subtle error in conventional stochastic linearization techniques
College
Engineering and Computer Science
Department
Ocean and Mechanical Engineering
Document Type
Article
Publication/Event/Conference Title
Chaos Solitons and Fractals
Publication Status
Version of Record
Abstract
The stochastic linearization technique as applied to the SDOF system is re-examined. Two standard procedures associated with the stochastic linearization, widely adopted in the literature, are shown to be erroneous. Two new procedures to correct the errors made in previous works are introduced. To gain more insight, the procedures are applied to the quintic oscillator. Comparative numerical analysis is performed. © 1998 Elsevier Science Ltd. All rights reserved.
First Page
479
Last Page
491
DOI
10.1016/S0960-0779(97)00086-6
Publication Date
1-1-1998
Recommended Citation
Colajanni, P. and Elishakoff, I., "A subtle error in conventional stochastic linearization techniques" (1998). Faculty Scholarship. 506.
https://digitalcommons.fau.edu/faculty_papers/506