000013758 001__ 13758
000013758 005__ 20161114170254.0
000013758 04107 $$aeng
000013758 046__ $$k2011-05-25
000013758 100__ $$aKundu, A.
000013758 24500 $$aA Novel Galerkin Projection Approach for Damped Stochastic Dynamic Systems

000013758 24630 $$n3.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000013758 260__ $$bNational Technical University of Athens, 2011
000013758 506__ $$arestricted
000013758 520__ $$2eng$$aThis article provides the theoretical development and simulation results of a novel Galerkin subspace projection scheme for damped dynamic systems with stochastic coefficients. The fundamental idea involved here is to solve the stochastic dynamic system in the frequency domain by projecting the solution into a reduced finite dimensional spatio-random vector basis to approximate the response. A Nueumann expansion type of approach is used to generate the complex stochastic basis functions. The proposed method is applicable to linear dynamic systems with Gaussian and non-Gaussian random fields. Galerkin weighting coefficients have been employed to minimize the error induced due to the reduced basis and finite order spectral functions and hence to explicitly evaluate the stochastic system response. The statistical moments of the solution have been evaluated at all frequencies to illustrate and compare the stochastic system response with the deterministic case. The results have been compared to direct Monte-Carlo simulation for different correlation lengths and variability of randomness.

000013758 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000013758 653__ $$aStochastic dynamics, random field, spectral decomposition, Karhunen-Lo`eve Expansion, stochastic subspace projection

000013758 7112_ $$aCOMPDYN 2011 - 3rd International Thematic Conference$$cIsland of Corfu (GR)$$d2011-05-25 / 2011-05-28$$gCOMPDYN2011
000013758 720__ $$aKundu, A.$$iAdhikari, S.
000013758 8560_ $$ffischerc@itam.cas.cz
000013758 8564_ $$s248268$$uhttps://invenio.itam.cas.cz/record/13758/files/634.pdf$$yOriginal version of the author's contribution as presented on CD, section: MS 29 The Stochastic Finite Element Method: Applications To Structural Dynamics.
000013758 962__ $$r13401
000013758 980__ $$aPAPER