000013748 001__ 13748
000013748 005__ 20161114170254.0
000013748 04107 $$aeng
000013748 046__ $$k2011-05-25
000013748 100__ $$aPapadopoulos, V.
000013748 24500 $$aMean and Variability Response Functions for Stochastic Systems Under Dynamic Excitation

000013748 24630 $$n3.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000013748 260__ $$bNational Technical University of Athens, 2011
000013748 506__ $$arestricted
000013748 520__ $$2eng$$aThe concept of the so called Variability Response Function (VRF), recently proposed for statically determinate and indeterminate stochastic systems [1, 2], is extended in this work to linear dynamic stochastic systems. An integral form for the variance of the dynamic response of stochastic systems is considered, involving a Dynamic VRF (DVRF) and the spectral density function of the stochastic field modeling the uncertain system properties. As in the case of static systems, the independence of the DVRF to the spectral density and the marginal probability density function of the stochastic field modeling the uncertain parameters is validated using brute-force Monte Carlo simulations as well as a series of different moving power spectral density functions for the calculation of the DVRF. The uncertain system property considered is the inverse of the elastic modulus (flexibility). It is demonstrated that DVRF is a function of the standard deviation of the stochastic field modeling flexibility. The same integral expression can be used to calculate the mean response of a dynamic system using the concept of the so called Dynamic Mean Response Function (DMRF), which is a function similar to the DVRF [3]. These integral forms can be used to efficiently compute the mean and variance of the transient system response at any time of the dynamic response together with spectral-distribution-free upper bounds. They also provide an insight into the mechanisms controlling the dynamic mean and variability response. In this work this methodology is effectively utilized to estimate the stochastic dynamic response of a single degree of freedom system subjected to a) sinusoidal load at the end of its length and b) El Centro earthquake. In both cases results are drawn for different values of the stochastic field standard deviation and for various Gaussian and non-Gaussian probability distributions. 

000013748 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000013748 653__ $$a

000013748 7112_ $$aCOMPDYN 2011 - 3rd International Thematic Conference$$cIsland of Corfu (GR)$$d2011-05-25 / 2011-05-28$$gCOMPDYN2011
000013748 720__ $$aPapadopoulos, V.$$iKokkinos, O.
000013748 8560_ $$ffischerc@itam.cas.cz
000013748 8564_ $$s9636$$uhttps://invenio.itam.cas.cz/record/13748/files/612.pdf$$yOriginal version of the author's contribution as presented on CD, section: MS 29 The Stochastic Finite Element Method: Applications To Structural Dynamics.
000013748 962__ $$r13401
000013748 980__ $$aPAPER