Modal Analysis in Periodic, Time-Varying Systems with emphasis to the Coupling between Flexible Rotating Beams and Non-Rotating Flexible Structures

C. M. Saracho, Ilmar Santos, P. R. G. Kurka (Editor), A. T. Fleury (Editor)

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

Abstract

The analysis of dynamical response of a system built by a non-rotating structure coupled to flexible rotating beams is the purpose of this work. The effect of rotational speed upon the beam natural frequencies is well-known, so that an increase in the angular speeds leads to an increase in beam natural frequencies, the so-called centrifugal stiffening. The equations of motion of such a global system present matrices with time-depending coefficients, which vary periodically with the angular rotor speed, and introduce parametric vibrations into the system response. The principles of modal analysis for time-invariant linear systems are expanded to investigate time-varying systems. Concepts as eigenvalues and eigenvectors, which in this special case are also time-varying, are used to analyse the dynamical response of global system. The time-varying frequencies and modes are also illustrated.
Original languageEnglish
Title of host publicationProceedings of X International Conference on Dynamic Problems in Mechanics
Place of PublicationSao Paulo, Brazil
PublisherBrazilian Society of Mechanical Sciences and Engineering
Publication date2003
Pages399-404
Publication statusPublished - 2003
Event10th International Conference on Dynamic Problems in Mechanics - Sao Paulo, Brazil
Duration: 10 Mar 200314 Mar 2003
Conference number: 10

Conference

Conference10th International Conference on Dynamic Problems in Mechanics
Number10
CountryBrazil
CitySao Paulo
Period10/03/200314/03/2003

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