If seismic isolation system consists of elastic-damping bearings, it transforms protected object into the flow-frequency system. Thus, damping in SIS should be high enough to eliminate resonance effect. Therefore application of damping makes a problem of its parameters optimization relevant. Optimization criteria for damping parameters of seismic isolation systems within the stochastic problem definition have been stated in the article. Search methods of optimal parameters for various tasks descriptions (target functions) have been developed. Both synthesized accelerograms and real accelerograms of earthquakes have been used as external actions. Both linear and nonlinear damping model including seismic isolation system have been taken into consideration. Search algorithms of optimal parameters have been worked out in different cases. Proceeded analysis results can be applied to design damping in seismic isolation systems

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A complex system describing interaction of subsystems of the second order with delay in connections between them is studied. Necessary and sufficient conditions of the existence of a diagonal Lyapunov–Krasovskii functional for the considered system are derived. The obtained results are applied for the stability a nalysis of a mechanical system and a model of population dynamics. In addition, it is shown that they can be used in a problem of formation control.

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Инженерно-строительный журнал, №9, 2013 МЕТОДЫ Kovaleva N.V. Low-cyclic fatigue consideration in terms of damping parameters optimization in seismic isolation systems