Vol 22, No 3 (2021)

The article focuses on the practical implementation of the proposed methodology for managing target information flows in the Earth remote sensing (ERS) space system. Proposed is the description of architecture and order of application of software-mathematical models of the complex, which implements the previously presented model of the arrangement of target information flows and provides the possibility of determining composition and characteristics of the system, that includes satellite, ground receiving complexes and communication channels there between, generation of scenarios of operation with ERS data, generation of input information flows, calculation of the distribution of target information from various types of ERS satellite by components of the ERS space system, visualization of calculation results and preservation of the obtained results. This makes it possible to optimize the distribution of information processing processes according to customer requests, using both scalar and vector criteria, automate the formation of a plan for the distribution of customer requests processing among system nodes, assess the current state of infrastructure in terms of the capabilities of processing customer requests and identify possible problems in the future.

The main aim of the research is to show and prove the necessity of introducing a new, discrete-continuous topological structure to describe complicated systems and processes of their functioning. Currently, there are two topological structures: continuous and discrete. At the same time, there are functional approaches in order to describe complicated systems and processes of their functioning, based on continuous topology. Until now, it has not been possible to build full functionality for the design of complicated technical objects. Therefore, the functional approach does not fully correspond to the increasingly complicated tasks of our time. The introduction of discrete-continuous topology is especially important for the exploring and modeling of complicated systems and processes of their functioning. In order to prove this fact, the present study describes the properties of complicated processes using examples of the flight process and the design process. The examination of these processes, as the most complicated, proves that the complicated systems and processes are topological spaces with metric, so they can be represented in the form of an oriented progressively bounded graph. Also, it proves the topological invariants of complicated systems and the processes of functioning. Presentation of the complicated processes in the form of a directed graph allows getting shorter path to their algorithmicization and programming, which is necessary for existing practice. In addition, the presentation of a complicated process as a directed graph will allow using the apparatus of graph theory for such purpose and will significantly expand the capabilities of programmers.

A general method is proposed for the formulation and solution of temperature problems of the theory of elasticity for thin-walled bodies for a given temperature distribution with the preservation of the order of differential equations and the fulfilment of all boundary conditions. The elasticity relations, taking into account temperature deformations, are transformed to a form that allows, in accordance with the Saint-Venant-Picard-Banach method, to perform iterative calculation of all the looking for unknowns of the problem. The procedure for constructing a solution is reduced to replacing four differential equations of the first order of the original system of elasticity theory with four corresponding integral Picard equations with a small factor of relative thinness. Seven unknowns of the original problem calculated by direct integration are expressed in terms of four basic unknowns. The fulfilment of the boundary conditions on the long sides of the strip leads to the solution of four ordinary differential equations for slowly varying and rapidly changing components of the main unknowns. Slowly changing components describe the classical stress-strain state. The rapidly changing ones determine the edge effects at the points of discontinuity of the slowly changing classical solution and the fulfilment of the unsatisfied boundary conditions due to the lowering of the order of the differential equations based on the Kirchhoff hypothesis. In the general case, the solution is represented in the form of asymptotic series in the small parameter of thinness with coefficients in the form of power series in the transverse coordinate. The presentation is illustrated by examples of warping of a free strip and of the occurrence of stresses and displacements of only the edge effect in a strip rigidly clamped at the ends with a linear temperature distribution along the height.