A general solution procedure for coupled systems with arbitrary internal resonances
type: Item
instance of: scholarly article
title: A general solution procedure for coupled systems with arbitrary internal resonances
zbMATH Open document ID: 1016.70015
DOI: 10.1016/S0093-6413(02)00213-6
author: Mehmet Pakdemirli
published in: Mechanics Research Communications
publication date: 2002-05-15T00:00:00Z
review text: The author deals with equations of motion where the linear parts are uncoupled, while quadratic and cubic nonlinearities are expressed by arbitrary spatial differential (or integral) operators. An external excitation acts on the first equation only. Using the method of multiple scales, the author obtains a general approximate solution, and then derives amplitude and phase equations. The results are applied to a simple case of two coupled equations.
Mathematics Subject Classification ID: 70K30
Mathematics Subject Classification ID: 70K40
zbMATH DE Number: 1741893
zbMATH Keywords: coupled nonlinearities
zbMATH Keywords: interval resonance
zbMATH Keywords: amplitude equation
zbMATH Keywords: phase equation
zbMATH Keywords: method of multiple scales
zbMATH Keywords: approximate solution
Wikidata QID: Q58206767
reviewed by: Petre P. Teodorescu
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1741893