Cs. Manohar et A. Sarkar, CRITICAL EARTHQUAKE INPUT POWER SPECTRAL DENSITY-FUNCTION MODELS FOR ENGINEERING STRUCTURES, Earthquake engineering & structural dynamics, 24(12), 1995, pp. 1549-1566
The problem of determining optimal power spectral density models for e
arthquake excitation which satisfy constraints on total average power,
zero crossing rate and which produce the highest response variance in
a given linear system is considered. The solution to this problem is
obtained using linear programming methods. The resulting solutions are
shown to display a highly deterministic structure and, therefore, fai
l to capture the stochastic nature of the input. A modification to the
definition of critical excitation is proposed which takes into accoun
t the entropy rate as a measure of uncertainty in the earthquake loads
. The resulting problem is solved using calculus of variations and als
o within linear programming framework. Illustrative examples on specif
ying seismic inputs for a nuclear power plant and a tall earth dam are
considered and the resulting solutions are shown to be realistic.