000013687 001__ 13687
000013687 005__ 20161114170127.0
000013687 04107 $$aeng
000013687 046__ $$k2011-05-25
000013687 100__ $$aFacchini, L.
000013687 24500 $$aA New Method of Generation of Nonlinear Normal Modes for Nonlinear Dynamics of Disordered Structures

000013687 24630 $$n3.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000013687 260__ $$bNational Technical University of Athens, 2011
000013687 506__ $$arestricted
000013687 520__ $$2eng$$aStructural response can be affected by randomness under two different points of view – either in the forcing process and/or in the structural behaviour. Various approaches can be employed to investi-gate the structural response, among which polynomial chaos (Ghanem, Spanos [1]) and perturbation approaches (Liu et al. [2], Chiostrini and Facchini [3]) can be found. Both kinds of approaches require the investigation of the response variation in dependence on the (random) structural parameters, thus – often dramatically – increasing the number of degrees of freedom of the examined system. In case of linearity of the system response, a modal reduction approach can be effectively employed together with perturbation techniques; on the other hand, for some kind of nonlinear systems, such reduction approach (Bucher [4], Geschwindner [5]) might fail to give satisfactory results unless a very large number of modes is employed in the analysis (Betti et al. [6]). The task of reducing the number of degrees of freedom of nonlinear systems has therefore to be accomplished by means of alternative procedures, such as the introduction of nonlinear normal modes.

000013687 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000013687 653__ $$aRandomness, Non-linear Structural Dynamics, Invariant manifold.

000013687 7112_ $$aCOMPDYN 2011 - 3rd International Thematic Conference$$cIsland of Corfu (GR)$$d2011-05-25 / 2011-05-28$$gCOMPDYN2011
000013687 720__ $$aFacchini, L.$$iRizzo, M.
000013687 8560_ $$ffischerc@itam.cas.cz
000013687 8564_ $$s534370$$uhttps://invenio.itam.cas.cz/record/13687/files/518.pdf$$yOriginal version of the author's contribution as presented on CD, section: MS 31 Uncertainty and Reliability in Computational Structural Dynamics.
000013687 962__ $$r13401
000013687 980__ $$aPAPER