WIT Press

Analysis Of Seismic Stability Of Shells Of Revolution Using Probabilistic Methods



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M. Danieli, J. Bloch & I. Halperin


This work presents numerical methods of calculation of earthquake resistance of shells of revolution based on the application of the theory of random processes combined with the FEM. Probabilistic character of seismic effect is determined by using artificial accelerograms based on stochastic process. To illustrate the above methods of probabilistic analysis of seismic stability of structures, two real objects and one projected one are considered. Displacements, stresses, forces and moments resulting from the action of seismic load have been determined. Comparison of the results of calculation with those achieved using calculation of prescribed real accelerograms and building design codes have been made. Comparative analysis of the calculation results brings us to the conclusion that the difference between the results obtained using different methods can be quite significant. It means that when designing structures of the types of shells of revolution under consideration it is necessary to do calculations using all methods recommended by design codes as well as probabilistic methods. Keywords: earthquake resistance, shell, revolution, FEM, probabilistic analysis. 1 Introduction According to the existing building design codes (IS 413 [1], Eurocode 8 [2], UBC-1994 [3], etc.), the basic method for earthquake resistance analysis is the modal response spectrum analysis (Lindeburg [4], Chopra [5], etc). According to this method, the dynamic character of seismic effect is taken into account by means of various factors. Besides, in order to determine the response of building structures, it is recommended, for example, that calculations be done for recorded real, synthesized or simulated accelerograms (time history) geologic


earthquake resistance, shell, revolution, FEM, probabilistic analysis