Solution of sub, super, harmonic and combination type resonant excitations in nonlinear lumped parameter systems
type: Item
instance of: scholarly article
title: Solution of sub, super, harmonic and combination type resonant excitations in nonlinear lumped parameter systems
zbMATH Open document ID: 0612.34030
DOI: 10.1016/0016-0032(86)90050-5
author: Joseph Padovan
published in: Journal of the Franklin Institute
publication date: 1986-01-01T00:00:00Z
review text: The author proposes a new perturbation procedure in order to approximate the transient and steady-state harmonic solutions of oscillatory systems defined by ordinary nonlinear differential equations. The procedure consists of a systematic combination of the well known concepts of multiple time scales and strained coordinates. It does not need any a priory knowledge of the solution form and thus leads to a more logical development of the overall solution including all the various types of resonances both damped and undamped. Several examples show the effectiveness of the method.
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 3989819
zbMATH Keywords: perturbation procedure
zbMATH Keywords: steady-state harmonic solutions
zbMATH Keywords: oscillatory systems
zbMATH Keywords: multiple time scales
zbMATH Keywords: strained coordinates
reviewed by: Mithat Idemen
MaRDI profile type: Publication
full work available at URL: 0016-0032(86)90050-5
OpenAlex ID: W2073036111
cites work: Q5735351
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description: scientific article; zbMATH DE number 3989819