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

Abstract:

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.

• Periodical: Applied Mechanics and Materials (Volume 865)
• Pages: 554-560
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.865.554
• Online since: June 2017
• Authors: Irina Garkina*, Alexander Danilov, Eugene Budylina, Paul Monastyrev
• Keywords: Approximation of Functions of Several Variables, Asymptotic Polynomials, Building Materials, Complex Systems, Flight Simulators

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