MATEC Web Conf.
Volume 182, 201817th International Conference Diagnostics of Machines and Vehicles
|Number of page(s)||6|
|Section||Methodology and Vibroacoustics|
|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 : firstname.lastname@example.org
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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