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

This paper introduces and discusses a weighted form of the dual mean-square error criterion by considering weighted contributions of forward and return replacements adjusted by a specific non-dimensional weight coefficient. The simplicity and accuracy of the proposed weighted dual equivalent lineari...

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Bibliographic Details
Published inActa mechanica Vol. 229; no. 3; pp. 1297 - 1310
Main Authors Anh, N. D., Linh, N. N.
Format Journal Article
LanguageEnglish
Published Vienna Springer Vienna 01.03.2018
Springer
Springer Nature B.V
Subjects
Classical and Continuum Physics
Control
Criteria
Dynamical Systems
Engineering
Engineering Thermodynamics
Equivalence
Heat and Mass Transfer
Linearization
Mean square errors
Nonlinear systems
Nonlinearity
Original Paper
Random excitation
Random vibration
Solid Mechanics
Theoretical and Applied Mechanics
Vibration
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Summary:This paper introduces and discusses a weighted form of the dual mean-square error criterion by considering weighted contributions of forward and return replacements adjusted by a specific non-dimensional weight coefficient. The simplicity and accuracy of the proposed weighted dual equivalent linearization technique are checked on several random vibration systems in comparison with other criteria. It is shown that the corresponding accuracy can be significantly improved for a large range of nonlinearity of investigated vibration systems.
ISSN:0001-5970
1619-6937
DOI:10.1007/s00707-017-2009-y