Analysis of Dynamical Characteristic of Piecewise-Nonlinear Asymmetric Hysteretic System Based on Incremental Harmonic Balance Method
Joint Authors
Liu, H. R.
Li, J. Z.
Hou, D. X.
Yin, R. R.
Jiang, J. S.
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-26
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Considering a sort of elastic mass with asymmetric hysteresis characteristic which widespread existing in engineering field, a piecewise-nonlinear dynamical equation, which contains asymmetric hysteretic loop, is established.
By using the method of Incremental Harmonic Balance (IHB), the analytic linearized algebraic equation of the system is obtained.
On the basis of this algebraic equation, the coefficients of the algebraic expression are figured out by the incremental procedure and the iterative process of the regulated variable.
Through the emulation, the amplitude frequency response curve and the relation between the value of the harmonic component and the external excitation are researched; the bistable regions of the bifurcation diagram of the system under the variation of the excitation amplitude are studied.
The above results can be used to guide the research of the asymmetric hysteretic system with polynomial expression.
American Psychological Association (APA)
Liu, H. R.& Li, J. Z.& Hou, D. X.& Yin, R. R.& Jiang, J. S.. 2015. Analysis of Dynamical Characteristic of Piecewise-Nonlinear Asymmetric Hysteretic System Based on Incremental Harmonic Balance Method. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1060454
Modern Language Association (MLA)
Liu, H. R.…[et al.]. Analysis of Dynamical Characteristic of Piecewise-Nonlinear Asymmetric Hysteretic System Based on Incremental Harmonic Balance Method. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1060454
American Medical Association (AMA)
Liu, H. R.& Li, J. Z.& Hou, D. X.& Yin, R. R.& Jiang, J. S.. Analysis of Dynamical Characteristic of Piecewise-Nonlinear Asymmetric Hysteretic System Based on Incremental Harmonic Balance Method. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1060454
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060454