000016005 001__ 16005
000016005 005__ 20161115135335.0
000016005 04107 $$aeng
000016005 046__ $$k2013-06-12
000016005 100__ $$aCunha, A.
000016005 24500 $$aAnalysis of the Nonlinear Stochastic Dynamics of an Elastic Bar With an Attached End Mass

000016005 24630 $$n34.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000016005 260__ $$bNational Technical University of Athens, 2013
000016005 506__ $$arestricted
000016005 520__ $$2eng$$aThis work studies the nonlinear dynamics of a one-dimensional elastic bar, attached to discrete elements, with viscous damping, random elastic modulus, and subjected to a Gaussian white-noise distributed external force. The system analysis uses the maximum entropy principle to specify the elastic modulus (gamma) probability distribution and uses Monte Carlo simulations to compute the propagation of uncertainty in this discrete–continuous system. After describing the deterministic and the stochastic modeling of the system, some configurations of the model are analyzed in order to characterize the effect of a lumped mass in the overall behavior of this dynamical system. The simulation results show that the system response presents multimodal probability distribution, irregular distribution of energy throughout the spectrum of frequencies, and a limit behavior, for large values of the lumped mass, similar to a mass-spring system.

000016005 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000016005 653__ $$anonlinear dynamics, stochastic modeling, maximum entropy principle, uncertainty quantification, Monte Carlo method.

000016005 7112_ $$aCOMPDYN 2013 - 4th International Thematic Conference$$cIsland of Kos (GR)$$d2013-06-12 / 2013-06-14$$gCOMPDYN2013
000016005 720__ $$aCunha, A.$$iSampaio, R.
000016005 8560_ $$ffischerc@itam.cas.cz
000016005 8564_ $$s804079$$uhttps://invenio.itam.cas.cz/record/16005/files/2095.pdf$$yOriginal version of the author's contribution as presented on CD, section: SC-RS 15 UNCERTAINTY AND STOCHASTIC ANALYSIS
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000016005 962__ $$r15525
000016005 980__ $$aPAPER