Application of harmonic balance method for solving non-linear equations of motion

Application of harmonic balance method for solving non-linear equations of motion

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 rapid...

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Main Author: Kostek Robert
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:MATEC Web of Conferences
Online Access:https://doi.org/10.1051/matecconf/201818202024
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spelling doaj-2b76af93cfb9420a898713da2f5dee6a2021-02-02T02:44:39ZengEDP SciencesMATEC Web of Conferences2261-236X2018-01-011820202410.1051/matecconf/201818202024matecconf_diagnostyka2018_02024Application of harmonic balance method for solving non-linear equations of motionKostek RobertThis 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.https://doi.org/10.1051/matecconf/201818202024
collection DOAJ
language English
format Article
sources DOAJ
author Kostek Robert
spellingShingle Kostek Robert
Application of harmonic balance method for solving non-linear equations of motion
MATEC Web of Conferences
author_facet Kostek Robert
author_sort Kostek Robert
title Application of harmonic balance method for solving non-linear equations of motion
title_short Application of harmonic balance method for solving non-linear equations of motion
title_full Application of harmonic balance method for solving non-linear equations of motion
title_fullStr Application of harmonic balance method for solving non-linear equations of motion
title_full_unstemmed Application of harmonic balance method for solving non-linear equations of motion
title_sort application of harmonic balance method for solving non-linear equations of motion
publisher EDP Sciences
series MATEC Web of Conferences
issn 2261-236X
publishDate 2018-01-01
description 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.
url https://doi.org/10.1051/matecconf/201818202024
work_keys_str_mv AT kostekrobert applicationofharmonicbalancemethodforsolvingnonlinearequationsofmotion
_version_ 1724309225219293184

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