On the effective application of asynchronous excitations to nonlinear mechanical systems
type: Item
instance of: scholarly article
title: On the effective application of asynchronous excitations to nonlinear mechanical systems
zbMATH Open document ID: 0846.70018
DOI: 10.1007/BF00788886
author: Yanyan Li
published in: Archive of Applied Mechanics
publication date: 1996-09-23T00:00:00Z
review text: The possibility of operating primary resonances by adding excitations with asynchronous frequencies to nonlinear systems with only one main excitation is studied. A single degree-of-freedom system with piecewise-linear characteristics is considered under the action of both parametric and forced excitations with asynchronous frequencies. With respect to the choice of additional frequencies, two methods to investigate the problem are proposed, and the operational effect is compared with that in nonlinear systems of \(x^n\) type. Depending on system parameters and additional excitations, a property that resonance amplitudes are suppressed in some partial-frequency regions and in one wide-frequency region, is recognized. The partial suppression and wide-zone suppression differ from reduction of resonance amplitudes and contraction of whole resonance curves. The investigation of vibrational phenomena is performed by numerical calculations.
Mathematics Subject Classification ID: 70K40
zbMATH DE Number: 755132
zbMATH Keywords: suppression of resonance amplitudes
zbMATH Keywords: primary resonances
zbMATH Keywords: single degree-of-freedom system
zbMATH Keywords: piecewise-linear characteristics
zbMATH Keywords: additional excitations
zbMATH Keywords: vibrational phenomena
reviewed by: Bozhidar Cheshankov
MaRDI profile type: Publication
cites work: Quenching of primary resonance by a superharmonic resonance
cites work: Q4747612
full work available at URL: https://doi.org/10.1007/bf00788886
OpenAlex ID: W132400862
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description: scientific article; zbMATH DE number 755132