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Application of the Improved Complex Normal Form Method Based on He’s Energy Balance Method to a Noise Included Nonlinear Oscillator
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-09-17
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
A strongly nonlinear oscillator with nonlinear damping subject to narrow band random excitation is discussed.
The deterministic and the stochastic responses are studied, respectively, applying the improved complex normal form method based on He’s energy balance method.
The accuracy of detecting of the response frequency has been improved significantly.
The behavior of steady state responses together with the stability is analyzed by the moment method.
The numerical simulation results are consistent with theoretical analysis.
When the noise intensity is small enough, the analytical result given by the moment method agrees with the simulation quite well.
American Psychological Association (APA)
Ge, Gen& Yun, Zheng Chao. 2015. Application of the Improved Complex Normal Form Method Based on He’s Energy Balance Method to a Noise Included Nonlinear Oscillator. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1073291
Modern Language Association (MLA)
Ge, Gen& Yun, Zheng Chao. Application of the Improved Complex Normal Form Method Based on He’s Energy Balance Method to a Noise Included Nonlinear Oscillator. Mathematical Problems in Engineering No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1073291
American Medical Association (AMA)
Ge, Gen& Yun, Zheng Chao. Application of the Improved Complex Normal Form Method Based on He’s Energy Balance Method to a Noise Included Nonlinear Oscillator. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1073291
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073291