Filatov G. Development of the theory and application of random search method in optimal problems of structural mechanic

The problem of reduction the material capacity of elements of designs. The further development of the theory of random search method, development of new algorithms of the random search method adapted to the decision of complicated problems of the structural mechanics, working in neutral and an aggressive . environments. The methods of research are mathematical modeling, probability theory, a method of final elements, method of iterations and method of exhaustion. The further development of adaptation of random search method for the decision complex optimum problems of the structural mechanics has received. The problem of identification of mathematical models of corrosion destruction as a problem of nonlinear programming for the first time is put and solved by random search method. The problem of optimum designing of the designs subjected to aggressive environment with the limited durability for the first time is formulated and solved. The method of identification of mathematical models of corrosion destruction is introduced into educational process. Sphere of using are building, machine -building and design organizations.