| Issue |
MATEC Web Conf.
Volume 182, 2018
17th International Conference Diagnostics of Machines and Vehicles
|
|
|---|---|---|
| Article Number | 02024 | |
| Number of page(s) | 6 | |
| Section | Methodology and Vibroacoustics | |
| DOI | https://doi.org/10.1051/matecconf/201818202024 | |
| Published online | 30 July 2018 | |
Application of harmonic balance method for solving non-linear equations of motion
University of Science and Technology, Al. Prof. S. Kaliskiego 7, 85-796 Bydgoszcz, Poland
* Corresponding author : robertkostek@o2.pl
This article presents the advantages and limitations of a harmonic balance method applied for solving non-linear equations of monition. This method provides an opportunity to find stable and unstable periodic solutions, which was demonstrated for a few equations. An error of solution decreases rapidly with increase of number of harmonics for smooth time history of acceleration, which shows convergence; whereas, for discontinuous time histories, this method is not effective.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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