Iterative Homotopy Harmonic Balance Approach for Determining the Periodic Solution of a Strongly Nonlinear Oscillator
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-27
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
A novel approach about iterative homotopy harmonic balancing is presented to determine the periodic solution for a strongly nonlinear oscillator.
This approach does not depend upon the small/large parameter assumption and incorporates the salient features of both methods of the parameter-expansion and the harmonic balance.
Importantly, in obtaining the higher-order analytical approximation, all the residual errors are considered in the process of every order approximation to improve the accuracy.
With this procedure, the higher-order approximate frequency and corresponding periodic solution can be obtained easily.
Comparison of the obtained results with those of the exact solutions shows the high accuracy, simplicity, and efficiency of the approach.
The approach can be extended to other nonlinear oscillators in engineering and physics.
American Psychological Association (APA)
Chen, Huaxiong& Ni, Mingkang. 2015. Iterative Homotopy Harmonic Balance Approach for Determining the Periodic Solution of a Strongly Nonlinear Oscillator. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1074430
Modern Language Association (MLA)
Chen, Huaxiong& Ni, Mingkang. Iterative Homotopy Harmonic Balance Approach for Determining the Periodic Solution of a Strongly Nonlinear Oscillator. Mathematical Problems in Engineering No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1074430
American Medical Association (AMA)
Chen, Huaxiong& Ni, Mingkang. Iterative Homotopy Harmonic Balance Approach for Determining the Periodic Solution of a Strongly Nonlinear Oscillator. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1074430
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074430