@book{b6d4c200a86911da8341000ea68e967b,
title = "Error Analysis of Statistical Linearization with Gaussian Closure for Large Degree-of-Freedom Systems",
abstract = "This paper contains an analyses of the error induced by applying the method of the equivalent statistical linearzation (ESL) to randomly-exited multi-degree-of-freedom (MDOF) geometrically nonlinear shear-frame structures as the number of degrees of freedom increases. The quantity that is analyzed is the variance of the top-story displacement. The MDOF systems under consideration obtain their nonlinearity through cubic polynomial interstory restoring forces and the external excitation is modelled as the stationary output of a Kanai-Tajimi filter (which itself is excited by Gaussian white noise). Parameters of the filter and the MDOF structures, as well as the intensity of the Gaussian white noise, are calibrated such that quantitative comparisons of the error between the exact solutions, estimated from Monte Carlo simulations, and the ELS solutions are possible among systems of different dimensions. ",
keywords = "Equivalent Statistical Linearzation, ELS, MDOF Systems, Kanai-Tajimi Filter, Gaussian White Noise, Monte Carlo Simulations, Equivalent Statistical Linearzation, ELS, MDOF Systems, Kanai-Tajimi Filter, Gaussian White Noise, Monte Carlo Simulations",
author = "Micaletti, {R. C.} and Cakmak, {A. S.} and Nielsen, {S{\o}ren R. K.} and K{\"o}yl{\"u}oglu, {H. U.}",
note = "PDF for print: 20 pp.",
year = "1996",
language = "English",
series = "Structural Reliability Theory",
publisher = "Dept. of Building and Structural Engineering, Aalborg University",
number = "140",
}