The paper discusses the methods of creation of mathematical models of electric transmission lines. It is proposed to develop them on the basis of computer simulation data or data obtained by natural experiment using the "black box" approach in the form of state variables. The derived system of discrete equations in the form of state variables equivalent to the system of ordinary differential equations has been adapted to the MATLAB / Simulink software environment by creating the mathematical model using S-Function Block.
To determine the optimal parameters of the dynamic vibration absorber (DVA), a complete multi-parameter model of the dynamics of machines and structures is required. A model with two degrees of freedom is unacceptable for a sufficiently precise calculation with sufficient accuracy of the oscillations of the design, and thus for an adequate description of its dynamic characteristics. Therefore, in practice, it is necessary to investigate the design using a complex model.
A numerical optimization procedure of the local heat regime for a glass shell of revolution during welding is proposed. This procedure is based on the model of thermo-viscoelastic solid taking into account residual deformations and stresses, which emerge during welding.
An analytical model for the operation of the main gas pipeline is proposed. The results of the investigation of the domain of optimality by analytical methods are presented. The developed software is tested on real data. Comparative results of modeling and optimization by numerical and analytical methods are presented.
The paper presents the procedure of optimization of linear periodically time-variable circuits based on the calculation of circuit parametric transfer functions by the frequency symbolic method. The parametric transfer function is approximated according to the frequency symbolic method by the Fourier trigonometric polynomial, in which some or all parameters of circuit elements are given by symbols. These parameters act as variables while performing procedures mentioned.
In the article the modified paradigm of bee colonies for hiking trails through the solution of combinatorial problems on graphs: the selection in the column independent subset of vertices of maximum pairing in column coloring graph, click in the selection box are studied. Based on the analysis of behavioral models of self colony of bees, methods and mechanisms of formation of the ideas are developed, the formation of combinatorial problems on graphs is discussed. Methods of forming search space are studied. Position in the search space is represented as an ordered list.
Problem statement. The use of existing and the most widespread drives (wheeled and caterpillar one) is sometimes limited by complicated operational conditions while moving on rough terrain. The mentioned drives require a relatively flat surface to be operated effectively. A rocky or a hilly terrain imposes the demand of the use of alternative types of drives, in particular, walking ones.
In the paper methods of construction of mathematical models intended for the power consumption forecasting are discussed. Alternative method of forecasting of defined object using discrete macromodels which allows to conduct quantative analysis of characteristics of the electric energy consumption in the future using known previous data obtained during the field test is proposed.
In general, this problem can be represented as a solution of the problem of nonlinear programming (1-4)
The problem of substantiation of operational efficiency of vibratory separators designed on the basis of vibratory hopper feeders with electromagnetic vibrations exciters and with conic working bowls is considered in the article. The complex of factors influencing the accuracy and productiveness of separation of coins and disk-shaped products on two or more fractions is overviewed. New models of structures for the effective solution of separation problems are proposed.