On the adaptive sensitivity of subsystem models of cement stone
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ON THE ADAPTIVE SENSITIVITY OF SUBSYSTEM MODELS OF CEMENT STONE V. L. Chernyavs’kyi and V. A. Hurkalenko
UDC 691.32:620.193:517.8
We propose a procedure of synthesis of the hierarchy of subsystem models of a “cement-stone– corrosive-environment” system. The procedure includes the solution of the problems of identification of the process of adaptation of concrete, situation–time evaluation of its adaptive abilities, and development of regulations aimed at the maintenance of the required level of consumers’ properties of concrete building structures.
We consider a “cement-stone–environment” S-system with properties of restricted self-organizing formation [1, 2]. The cement concrete of building structures is regarded as a complex purposeful system characterized, at any time ∀ τ ∈ [ 0, T ] of the guaranteed period of operation T of a building object, by nonstationarity, multidimensionality, nonlinearity, and stochasticity. The strength, deformability, and resistance to the action of the environment are regarded as the main consumers’ properties of concrete. Each of these characteristics can be quantitatively estimated by using a unique criterional quality index. The problem of evaluation of the adaptive abilities of the cement stone for a selected class of corrosive environments is quite urgent and complicated. It is necessary to synthesize an ordered set of subsystem models, coordinate the mathematical descriptions of these models, recognize the process of adaptation in its address–situation manifestation on the basis of the analytic or experimental data, construct a model of measure of the range of adaptive abilities, apply this model to the analysis of the “cement-stone–(corrosive)-environment” system, and interpret the accumulated results. For the efficient solution of these problems, it is necessary to construct a rational hierarchy of subsystem models sensitive to the evaluated parameters with admissible level of data losses in each stage of decision making. For the analyzed problem, we can formulate basic principles of the model of S-system as follows: maximization of the sensitivity of several subsystem models in parametric and criterional spaces with regard for the restrictions imposed on admissible losses of the input data in the processes of subsystem reduction and step-bystep transformation. To synthesize a hierarchy of models, we use one of the fundamental properties of the analyzed system, namely, the presence of three resources: material M, energy E, and data Q. For any τ ∈ [ 0, T ], the material resource is principal in the system. The energy resource specifies the intensity of possible processes in the system. In the absence of this resource, the system turns into static and all processes depend on the action of the environment. The data resource determines the structure of the system and guarantees its stability, i.e., its ability to resist the influence of the environment. As initial, we use a structure-functional model of the purposeful “cement-stone–(corrosive)-environment” system S = ( V, A, Φ,
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