The active control of vibrations of composite beams by parametric stiffness modulation.
type: Item
instance of: scholarly article
title: The active control of vibrations of composite beams by parametric stiffness modulation.
zbMATH Open document ID: 1056.74045
DOI: 10.1016/S0997-7538(00)00184-4
author: S. V. Sorokin
author: Olga A. Ershova
author: Svetlana A. Grishina
published in: European Journal of Mechanics. A. Solids
publication date: 2000-01-01T00:00:00Z
review text: An active control of resonant vibrations of composite beams, performed by a parametric stiffness modulation, is considered. A sandwich beam composition with the continuous core is taken as a model. The stiffness modulation is introduced by some fairly small changes in orientations of elements of the microstructure of the core ply. The controlled vibrations are of dominantly flexural type excited by a transverse force acting at a low resonant frequency, whereas the stiffness modulation is performed at a comparatively high frequency identified by the resonance of a mode of dominantly shear type. This difference in time scales of the controlled vibrations and the input signal facilities makes a possible the direct partition of motion that predicts an existence of modal interaction between low-frequency and high-frequency motions due to so-called vibrational forces. It is shown that such a parametric control can provide a significant favourable shift of the first eigenfrequency of a controlled beam from its nominal value for an uncontrolled beam. Heavy fluid loading conditions are accounted for as well as material losses in structure. Then, instead of analysis of eigenfrequencies, a problem of forced vibrations is posed, and the forced frequency-amplitude response is analysed. It is demonstrated that, although heavy fluid loading reduces resonant frequencies of forced vibrations, the suggested mechanism of control remains valid in these cases.
reviewed by: Zbigniew Dżygadło
Mathematics Subject Classification ID: 74M05
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74E30
zbMATH DE Number: 1547860
zbMATH Keywords: resonant vibrations
zbMATH Keywords: modal interaction
zbMATH Keywords: fluid loading
MaRDI profile type: Publication
full work available at URL: s0997-7538(00)00184-4
OpenAlex ID: W2038571654
Wikidata QID: Q127646334
description: scientific article; zbMATH DE number 1547860