Higher order normal form and period averaging

Author(s)
Author(s)
Zhang, Q. C.
Date Issued
1998
Publisher
Elsevier
Journal
Journal of Sound and Vibration
Volume
217
Issue
5
Start page
795
End page
806
Abstract
Calculation of the higher order averaging equations of a non-linear oscillator is very tedious using the classical averaging method. This is also true for higher order normal forms. This paper presents an alternative method, which is a combination of the method of normal form and the classical averaging method. A simple and efficient program is given to calculate the higher order averaging equations by using the symbolic computer algebra system Mathematica. Furthermore, the program can be used to calculate the higher order coefficients of normal form. Four examples are given and compare well with the existing results.
URI
DOI
SFU Affiliated Publication
No
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