000015505 001__ 15505
000015505 005__ 20161115100223.0
000015505 04107 $$aeng
000015505 046__ $$k2016-08-21
000015505 100__ $$aAraumi, Naoto
000015505 24500 $$aFifth Order Analysis in Simply Supported Beam Subjected to Parametric Excitation

000015505 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000015505 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000015505 506__ $$arestricted
000015505 520__ $$2eng$$aThe nonlinear response in a simply supported beam subjected to parametric excitation is investigated. Taking into account the fifth order nonlinearity of curvature of beams and using Hamilton’s principle, the governing equation of the beam in the lateral direction is derived. Different from usual third order analysis, the accuracy of fifth order for the hysteresis phenomenon in frequency response curve is performed in this presentation. Employing the method of multiple scales, amplitude equation is obtained and the bifurcations in the frequency response curve is clarified.

000015505 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015505 653__ $$a

000015505 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000015505 720__ $$aAraumi, Naoto
000015505 8560_ $$ffischerc@itam.cas.cz
000015505 8564_ $$s208738$$uhttps://invenio.itam.cas.cz/record/15505/files/TS.SM16-1.02.pdf$$yOriginal version of the author's contribution as presented on CD,  page 2965, code TS.SM16-1.02
.
000015505 962__ $$r13812
000015505 980__ $$aPAPER