A dual criterion of equivalent linearization method for nonlinear systems subjected to random excitation

A dual criterion of equivalent linearization method is suggested. The mean-square responses of Duffing, Van der Pol and Lutes-Sarkani oscillators subjected to random excitation are considered. The obtained results are compared with the numerical calculations of original systems and approximate solut...

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Bibliographic Details
Published inActa mechanica Vol. 223; no. 3; pp. 645 - 654
Main Authors Anh, N. D., Hieu, N. N., Linh, N. N.
Format Journal Article
LanguageEnglish
Published Vienna Springer Vienna 01.03.2012
Springer
Springer Nature B.V
Subjects
Approximation
Classical and Continuum Physics
Control
Criteria
Dynamical Systems
Engineering
Engineering Thermodynamics
Equivalence
Heat and Mass Transfer
Linearization
Mathematical models
Mechanical engineering
Nonlinear dynamics
Nonlinear systems
Random excitation
Solid Mechanics
Theoretical and Applied Mechanics
Vibration
Energy Method
Random Excitation
Equivalent Linearization
White Noise Excitation
Linearization Method
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Summary:A dual criterion of equivalent linearization method is suggested. The mean-square responses of Duffing, Van der Pol and Lutes-Sarkani oscillators subjected to random excitation are considered. The obtained results are compared with the numerical calculations of original systems and approximate solutions obtained by three different methods including the conventional linearization technique, energy method and regulation linearization method. The results show that in those nonlinear systems the accuracy of the mean-square response is significantly improved by the proposed criterion.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0001-5970
1619-6937
DOI:10.1007/s00707-011-0582-z