Exact resonances of nonlinear vibration of rotor-bearing system without small parameter
type: Item
instance of: scholarly article
title: Exact resonances of nonlinear vibration of rotor-bearing system without small parameter
zbMATH Open document ID: 0993.70018
DOI: 10.1016/S0093-6413(00)00117-8
published in: Mechanics Research Communications
publication date: 2001-03-05T00:00:00Z
review text: The author studies the dynamics of rotor-bearing system governed by the initial value problem \(x'' + \eta x' + \omega_{0}^{2}(1+\varepsilon \sin \omega t)x + kx^{3} = e\omega^{2}\sin \omega t\), \(x(0) = A, x'(0) = 0.\) For this purpose, a variational iteration method is employed.
Mathematics Subject Classification ID: 70K30
zbMATH DE Number: 1547809
zbMATH Keywords: nonlinear vibration
zbMATH Keywords: rotor-bearing system
zbMATH Keywords: variational iteration method
zbMATH Keywords: exact resonance
zbMATH Keywords: initial value problem
author: Ji-Huan He
reviewed by: Antonio Cañada
MaRDI profile type: Publication
Wikidata QID: Q127808783
full work available at URL: s0093-6413(00)00117-8
OpenAlex ID: W2094805457
description: scientific article; zbMATH DE number 1547809