Protasov S. Methods and facilities of forming and computer realization of integral macromodels of stationary dynamic objects with the distributed parameters.

The thesis of devoted to the development of methods and forming facilities, to numeral and computer realization of integral macromodel of stationary dynamic objects, with the distributed parameters, that creates possibility of increase of efficiency of methods and facilities of mathematical modelign of select class of objects. A research object are methods and facilities of computer design of stationary dynamic objects with the distributed parameters. The article of research are methods of forming of integral macromodels of dynamic objects with the distributed parameters, algorithmic and programmatic facilities of their computer realization. Research methods, with by a help which of decided task of dissertation work: methods of mathematical description of dynamic objects on the basis of dynamic descriptions, methods of analytical transformations dynamic model. Scientific novelty of the got results. 1. For the first time the method of formation of integrated macromodel of object with the distributed parameters in the form of operator Volterr on the basis of receiving pulse transitional function (a kernel of the operator), by application of an operational method to the initial equations in private derivatives is offered that in comparison with a widespread approach on the basis of a method of integrated representations considerably simplifies the solution of a task for the account fall of its dimension. 2. The interpolyatsionny approach to a problem of approximation on the basis of which the method of receiving function of a kernel of macromodel of object with the distributed parameters on experimental data is developed that gave the chance to construct effective numerical algorithms of identification is improved. 3. Have the subsequent development analytical methods of equivalent transformation of dynamic models that on the basis of algorithmic formalization gain property of computer realization and allow to elect the most expedient for a specific objective a form of representation of macromodel of dynamic object. Practical value of the received results is that methods and means of formation of integrated macromodels are developed, and also algorithms of numerical realization and a complex of programs for their computer realization are developed allow to expand possibilities of modern computer means of carrying out scientific and engineering calculations in problems of dynamics.