PARAMETRIC IDENTIFICATION AND OPTIMIZATION OF PROPERTIES OF BUILDING MATERIALS AS COMPLEX SYSTEMS

2017 ◽  
Vol 73 (2) ◽  
Author(s):  
Irina Garkina ◽  
Alexander Danilov
Keyword(s):  
Complex Systems ◽  
Building Materials ◽  
Parametric Identification

scholarly journals Approximation of Functions in Multi-criterial Synthesis of Composite Materials

2021 ◽  
Vol 1203 (2) ◽  
pp. 022010
Author(s):  
Eugenia Budylina ◽  
Irina Garkina ◽  
Alexander Danilov
Keyword(s):  
Composite Materials ◽  
Complex Systems ◽  
Hierarchical Structure ◽  
Building Materials ◽  
Mathematical Structure ◽  
Parametric Identification ◽  
Generalized Polynomials ◽  
The Hierarchical Structure ◽  
Research Procedure ◽  
Kinetic Processes

Abstract A prerequisite for the synthesis of composite materials as complex systems is the principles of the control paradigm of Peace and the effectiveness of mathematics (for any reality and any given (not absolute) accuracy, there is a mathematical structure that describes this reality with this accuracy; the converse is also true (homomorphism, arbitrarily close to isomorphism between reality and mathematical structures)).The proposed methodology for managing the identification process (design of composites) includes the process of human choice: the probabilistic nature of the control; the main reason for the inadequacy of a purely analytical research procedure. Here, the optimization of the control of the properties of the composite is carried out experimentally on the model as a result of the approximation of the response function: not the generalized functional is approximated, but the particular criteria of which it consists. The development of composite materials is carried out on the basis of evaluating the parameters of the formation of operational properties. The parameters of each of the kinetic processes of the formation of the physical and mechanical characteristics of the material were taken as particular criteria. Kinetic processes are asymptotic for the composites under study and contain extremum and inflection points. A method is used to approximate multidimensional table-defined functions by generalized polynomials of a particular form. In the parametric identification of kinetic processes, their parameters are considered basic. Approximating models of the main properties are presented. Vector optimization of properties (selection of recipes, technologies and methods of material quality control) is carried out by overcoming ambiguities of goals using linear convolution, introducing benchmarks, building Pareto sets, etc. The expediency of using a systematic approach (the hierarchical structure of properties and the hierarchical structure of the composite proper) to the design of building materials as complex systems is shown. The research results are introduced as prototypes of new identification systems in the development of composite materials with adjustable structure and properties, in contrast to the replication of reference applied developments of identification theory in various industries.

Some Applications of the Theory of Functions Approximation to the Design of Complex Systems

2017 ◽  
Vol 865 ◽  
pp. 554-560
Author(s):  
Irina Garkina ◽  
Alexander Danilov ◽  
Eugene Budylina ◽  
Paul Monastyrev
Keyword(s):  
Complex Systems ◽  
Building Materials ◽  
Objective Assessment ◽  
Physical And Mechanical Properties ◽  
Quality Criteria ◽  
Analytical Description ◽  
Transport Systems ◽  
Modular Architecture ◽  
Training Systems ◽  
Flight Simulators

It is proposed the unified concept of applications of analitical theory of approximation in the development of building materials and flight simulators of modular architecture as complex systems. The annex to the development of simulators of flight dynamics are given the approximation of table - graphically defined functions and functions of several variables by polynomials of higher degrees. It is planned to implement the methods in real-time via parallelization of computational processes. Is given the approximation of aerodynamic factors in simulator of the dynamics of the flight of transport aircraft. It is proposed the description of kinetic processes of formation of physical and mechanical properties of materials to solve control problems of their properties. It indicates the possibility of overcoming the uncertainty targets based on an objective assessment of each of the properties (quality criteria) with their analytical description by polynomial models. The approximation methods are implemented on modern computers. Efficiency was confirmed in the development of training systems for the training of operators of different transport systems and design of composite materials with special properties.

Method of Increasing the Moment of Inertia of Metallic Angled Profile

2017 ◽  
Vol 865 ◽  
pp. 331-335
Author(s):  
Kirill Nezdanov ◽  
Igor Garkin
Keyword(s):  
Complex Systems ◽  
Approximation Theory ◽  
Building Materials ◽  
Flight Dynamics ◽  
Analytical Approximation ◽  
Moment Of Inertia ◽  
Modular Architecture ◽  
Flight Simulators ◽  
Several Variables ◽  
The Moment

We consider the single concept of an application of analytical approximation theory to the development of building materials and of flight simulators modular architecture how complex systems. The annex to the development of simulators of dynamics flight modular architecture addresses issues of approximation of table-graphically given functions and of functions of several variables by polynomials of higher degrees. Are given the examples to describe the kinetic processes in building materials and in the development of simulators of flight dynamics.

Kinetic Processes in Polydisperse Systems: Experience of Practical Approximation

2019 ◽  
Vol 814 ◽  
pp. 33-37
Author(s):  
Irina Garkina ◽  
Alexander Danilov
Keyword(s):  
Complex System ◽  
Composite Material ◽  
Composite Materials ◽  
Structure Formation ◽  
Analytical Methods ◽  
Building Materials ◽  
Parametric Identification ◽  
Kinetic Processes ◽  
Nonlinear Kinetic

Composite material is considered as a complex system with corresponding system attributes. The systematization of studies on the structure formation of composites is carried out to ensure the fundamentalization of building materials based on the use of analytical methods. The experience of using the linearization of kinetic processes in polydisperse systems is given. The most important cases are considered. Examples of parametric identification of a table-specified and nonlinear kinetic processes are given. The results were used in the development of special purpose composite materials.

Tasks of Building Materials from the Viewpoint of Control Theory

2017 ◽  
Vol 737 ◽  
pp. 578-582 ◽  
Author(s):  
Irina Garkina ◽  
Alexander Danilov
Keyword(s):  
Control Theory ◽  
Building Materials ◽  
Mechanical Characteristics ◽  
Extreme Points ◽  
Parametric Identification ◽  
Technological Parameters ◽  
Inflection Points ◽  
The Cauchy Problem ◽  
Object Of Control ◽  
Physical And Mechanical Characteristics

From the viewpoint of control theory is given the synthesis of building materials. A control of structure and properties of the material is carried by changing the relevant technological parameters. Material is regarded as an object of control in mathematical modeling. The model is presented as a solution to the Cauchy problem for an ordinary differential equation fourth-order. The synthesis is based on parametric identification of mathematical models. The parameters are typical points of the kinetic processes of the formation of physical and mechanical characteristics of the material. Among them: roots of the characteristic polynomial; inflection points; the extreme points, etc. Applications of this approach to the synthesis of building materials for special purposes are given.

Scanning electron microscopy of asbestos-containing material where the asbestos fibers are considered locked in a binder

1993 ◽  
Vol 51 ◽  
pp. 472-473
Author(s):  
J. R. Millette ◽  
R. S. Brown
Keyword(s):  
Electron Microscopy ◽  
Scanning Electron Microscopy ◽  
Environmental Protection Agency ◽  
Building Materials ◽  
The United States ◽  
Protection Agency ◽  
Asbestos Fibers ◽  
Different Types ◽  
Binder Material ◽  
Scanning Electron

The United States Environmental Protection Agency (EPA) has labeled as “friable” those building materials that are likely to readily release fibers. Friable materials when dry, can easily be crumbled, pulverized, or reduced to powder using hand pressure. Other asbestos containing building materials (ACBM) where the asbestos fibers are in a matrix of cement or bituminous or resinous binders are considered non-friable. However, when subjected to sanding, grinding, cutting or other forms of abrasion, these non-friable materials are to be treated as friable asbestos material. There has been a hypothesis that all raw asbestos fibers are encapsulated in solvents and binders and are not released as individual fibers if the material is cut or abraded. Examination of a number of different types of non-friable materials under the SEM show that after cutting or abrasion, tuffs or bundles of fibers are evident on the surfaces of the materials. When these tuffs or bundles are examined, they are shown to contain asbestos fibers which are free from binder material. These free fibers may be released into the air upon further cutting or abrasion.

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