000015452 001__ 15452
000015452 005__ 20161115100222.0
000015452 04107 $$aeng
000015452 046__ $$k2016-08-21
000015452 100__ $$aLazarus, Arnaud
000015452 24500 $$aModal analysis of structures in periodic states

000015452 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000015452 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000015452 506__ $$arestricted
000015452 520__ $$2eng$$aThis presentation focuses on the numerical computation of linear vibrational modes, or Floquet Forms, of mechanical systems in periodic states such as rotating machineries with imperfections or any structures that are in compressive or tensile periodic states. To make our point, we present an original spectral method through the fundamental example of the oscillations of a 2D bi-articulated bar submitted to a periodic compressive load at its end. We show that Floquet Forms generalize the concept of classic modal analysis for structures in equilibrium states. Because of the complexity of the frequency spectrum of Floquet Forms as compared to the classic harmonic modes of vibration, the type of instabilities encountered by periodically-varying structural systems is naturally much richer than systems in equilibrium.

000015452 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015452 653__ $$a

000015452 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000015452 720__ $$aLazarus, Arnaud
000015452 8560_ $$ffischerc@itam.cas.cz
000015452 8564_ $$s175735$$uhttps://invenio.itam.cas.cz/record/15452/files/TS.SM14-2.05.pdf$$yOriginal version of the author's contribution as presented on CD,  page 2784, code TS.SM14-2.05
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000015452 962__ $$r13812
000015452 980__ $$aPAPER