000013083 001__ 13083
000013083 005__ 20161114160326.0
000013083 04107 $$aeng
000013083 046__ $$k2009-06-22
000013083 100__ $$aMirza, A.
000013083 24500 $$aInvestigation of auto-correlation function and mathematic expected value to determine the maximum response of the structure due to random earthquake loading

000013083 24630 $$n2.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000013083 260__ $$bNational Technical University of Athens, 2009
000013083 506__ $$arestricted
000013083 520__ $$2eng$$aStructures experiment different kinds of static and dynamic loads. Most of the time, they are random loads such as dynamic instrumental loads, explosion and the future earthquake loads do not have a deterministic distribution and occurs randomly. The most important property of random loading is being non periodic which makes the determination of the exact analytical amount impossible unless by investigation of probabilistic theory and random vibration theory, one can guess the probabilistic and maximum amount of it. At this paper, the dynamic equilibrium equation on an assumed area has been determined. Then, by calculating the response function in terms of time, applying response mean value, Auto-Correlation Functions, distribution functions and mathematic expected value and also by using the amount of density, the response of structure due to unique impulse in the frequency domain has been determined. Then the total response of the structure or mean square response of the system has been determined by defining input spectrum density and response spectrum density and finally an example has been solved.

000013083 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000013083 653__ $$aNumerical methods, Auto-Correlation Functions, mathematic expected value, random vibration, earthquake Abstract. Structures experiment different kinds of static and dynamic loads. Most of the time, they are random loads such as dynamic instrumental loads, explosion and the future earthquake loads do not have a deterministic distribution and occurs randomly. The most important property of random loading is being non periodic which makes the determination of the exact analytical amount impossible unless by investigation of probabilistic theory and random vibration theory, one can guess the probabilistic and maximum amount of it. At this paper, the dynamic equilibrium equation on an assumed area has been determined. Then, by calculating the response function in terms of time, applying response mean value, Auto-Correlation Functions, distribution functions and mathematic expected value and also by using the amount of density, the response of structure due to unique impulse in the frequency domain has been determined. Then the total response of the structure or mean square response of the system has been determined by defining input spectrum density and response spectrum density and finally an example has been solved.

000013083 7112_ $$aCOMPDYN 2009 - 2nd International Thematic Conference$$cIsland of Rhodes (GR)$$d2009-06-22 / 2009-06-24$$gCOMPDYN2009
000013083 720__ $$aMirza, A.$$iRoshan, G.$$iKhalilpasha, H.
000013083 8560_ $$ffischerc@itam.cas.cz
000013083 8564_ $$s300704$$uhttps://invenio.itam.cas.cz/record/13083/files/CD109.pdf$$yOriginal version of the author's contribution as presented on CD, section: Uncertainty analysis in structural dynamics and earthquake engineering - ii.
000013083 962__ $$r13074
000013083 980__ $$aPAPER