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
Related Articles
- EP ID EP607249
- DOI -
- Views 66
- Downloads 0
Some optimum design problems for the shells of revolution.
c
Mathematical model of thermoelasticity of micropolar orthotropic elastic thin plates
In the present paper on the basis of asymptotically confirmed hypotheses method mathematical models of thermoelasticity of bending and plane stress state of micropolar orthotropic elastic thin plates are constructed.
Some problems of the theory of creep for growing bodies subject to ageing.
c
The influence of age on the creep of concrete in compression with successive torsion.
c
On a variant of a three-dimensional rolling contact problem.
c