000013567 001__ 13567
000013567 005__ 20161114165846.0
000013567 04107 $$aeng
000013567 046__ $$k2011-05-25
000013567 100__ $$aXu X., F.
000013567 24500 $$aComputational Stochastic Dynamics Based on Orthogonal Expansion of Random Excitations

000013567 24630 $$n3.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000013567 260__ $$bNational Technical University of Athens, 2011
000013567 506__ $$arestricted
000013567 520__ $$2eng$$aA major challenge in stochastic dynamics is to model nonlinear systems subject to general non-Gaussian excitations which are prevalent in realistic engineering problems. In this work, an n-th order convolved orthogonal expansion (COE) method is proposed. For linear vibration systems, the statistics of the output can be directly obtained as the first-order COE about the underlying Gaussian process. The COE method is next verified by its application on a weakly nonlinear oscillator. In dealing with strongly nonlinear dynamics problems, a variational method is presented by formulating a convolution-type Lagrangian and using the COE representation as trial functions.

000013567 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000013567 653__ $$aOrthogonal Expansion, Nonlinear, Random Vibration.

000013567 7112_ $$aCOMPDYN 2011 - 3rd International Thematic Conference$$cIsland of Corfu (GR)$$d2011-05-25 / 2011-05-28$$gCOMPDYN2011
000013567 720__ $$aXu X., F.$$iStefanou, G.
000013567 8560_ $$ffischerc@itam.cas.cz
000013567 8564_ $$s113249$$uhttps://invenio.itam.cas.cz/record/13567/files/293.pdf$$yOriginal version of the author's contribution as presented on CD, section: MS 21 Reliability of Structural and Mechanical Systems for Uncertain Operating Conditions.
000013567 962__ $$r13401
000013567 980__ $$aPAPER