On The Optimal Control of Vibrations of the Shallow Shells of Double Constant Curve in the Conflict Situations
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2006, Vol 59, Issue 2
Abstract
It is discussed the problem of an optimal control for the shallow shell's linear vibrations, when the distributive disposed forces influence on it. The problem is solved by the method of Fourie and it is brought to the differential game, which is described by the infinitesimal differential equations of second order. The extremal strategies are constructed by the extreme targeting method. It is defined the regularity for the infinite systems. It is shown that if the resources of the first player are more than the resources of the second player and the influencing forces belong to class L 2 , then the problem of damping of shell's vibrations is solved. In the end of the article a numerical example is given.
Authors and Affiliations
M. S. Gabrielyan, L. A. Mazmanyan
Keywords
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