000016029 001__ 16029
000016029 005__ 20161115135336.0
000016029 04107 $$aeng
000016029 046__ $$k2013-06-12
000016029 100__ $$aPapadopoulos, V.
000016029 24500 $$aStochastic Dynamic Response of Structures

000016029 24630 $$n34.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000016029 260__ $$bNational Technical University of Athens, 2013
000016029 506__ $$arestricted
000016029 520__ $$2eng$$aIn this paper a general formulation is proposed for the dynamic analysis of stochastic structures with uncertain material properties. A straightforward generalization of the mean and variability response function concept is introduced leading to closed form integral expressions for the dynamic mean and variability response of statically indeterminate beam/frame structures as well as for more general stochastic finite element systems. As in the case of classical variability functions, these integral expressions involve the spectral density function of a stochastic field modeling the uncertain material properties and so-called dynamic mean and variability response functions, recently established for linear stochastic statically determinate single degree of freedom oscillators. A finite element methodbased fast Monte Carlo simulation procedure is used for the accurate and efficient numerical evaluation of these functions. Numerical examples are provided including a statically indeterminate beam/frame structure and a plane stress problem. The dynamic mean and variability response functions can be used consequently to perform sensitivity/parametric analyses with respect to various probabilistic characteristics involved in the problem (i.e., correlation distance, standard deviation) and to establish realizable upper bounds on the dynamic mean and variance of the response.

000016029 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000016029 653__ $$aDynamic Variability Response Functions; Stochastic finite element analysis; upper bounds; stochastic dynamic systems.

000016029 7112_ $$aCOMPDYN 2013 - 4th International Thematic Conference$$cIsland of Kos (GR)$$d2013-06-12 / 2013-06-14$$gCOMPDYN2013
000016029 720__ $$aPapadopoulos, V.$$iKokkinos, O.$$iPapadrakakis, M.
000016029 8560_ $$ffischerc@itam.cas.cz
000016029 8564_ $$s36318$$uhttps://invenio.itam.cas.cz/record/16029/files/2141.pdf$$yOriginal version of the author's contribution as presented on CD, section: SC-MS 22 THE MULTISCALE STOCHASTIC FINITE ELEMENT METHOD
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000016029 962__ $$r15525
000016029 980__ $$aPAPER