Determination of probabilistic characteristics of random values of estimates of the Lyapunov function when describing a physical process

The applied application of the Lyapunov characteristic function is determined by the properties of its estimates. Probabilistic characteristics of estimates of the Lyapunov characteristic function are described for the first time. The probabilistic characteristics of random values of estimates of the Lyapunov function are empirically estimated using statistical methods. The Matlab package has developed a model of a special device for obtaining estimates of the characteristic function by a direct method. A quasi-deterministic signal is fed to the input of the model, the instantaneous values of which are distributed according to the arcsine law, and an array of values of estimates of the Lyapunov function is obtained at the output, which is used to estimate the probabilistic characteristics of these estimates. Statistical estimation was performed by an indirect method. It is established that the values of the estimates of the Lyapunov characteristic function are distributed according to the normal law. The results of the research will be useful in engineering calculations, for example, when detecting message transmission errors in modems with a modulated characteristic function.

Method of enthalpy calibration for differential scanning calorimeters

The article describes a new method for enthalpy calibration of differential scanning calorimeters. The method allows you to remove the limitation on the temperature range in which this metrological procedure can be carried out. The proposed method does not require the use of standard samples of heats of fusion, therefore, it is not limited by the thermophysical properties of the certified substances. The developed method solves the problem of increasing the accuracy of measurements of specific enthalpy and heats of phase transitions of various substances for all types of differential scanning calorimeters. The effectiveness of the method in solving this problem is confirmed and illustrated by the authors by comparing the results of measuring the heats of fusion of a number of metals. The results obtained on differential scanning calorimeters calibrated by the new method and on the same instruments, but calibrated in accordance with the generally accepted standardized method of the International Union of Theoretical and Applied Chemistry, were compared. The authors experimentally revealed the advantages of the new method in terms of saving time and money required for calibration. The article will be of interest to those specialists who use differential scanning calorimeters in the development of new materials, control of technological processes, production, input and output control, as well as to those specialists who develop methods for research and measurement of various materials on differential scanning calorimeters.

The technique of selecting a guard band in the climatic tests of radio-electronic equipment

The purpose of this study is to create a methodology for assessing the risks arising from climatic tests of radio-electronic equipment. The article considers the effect of additional misalignment of transmission lines arising under conditions of temperature inhomogeneities on the increase in consumer and producer risks. A method of selecting a protective measuring band is proposed to minimize the probability of false acceptance and rejection of the tested devices. The results obtained make it possible to determine the optimal, from the point of view of the risks of the consumer and the manufacturer, the coefficient of the protective band of radio engineering measurement.

Combined method for correction interval systems of linear algebraic equations

The possibility of application of the interval analysis for data processing in the field of spectral analysis is considered. It is assumed that the data have interval uncertainty; therefore the problem of finding unknown concentrations is posed as a linear interval tolerance problem. The incompatibility of the interval system of linear algebraic equations is shown for the initial data using the apparatus of the recognizing functional. The relevance of the topic is due to the need for regularization of inconsistent interval systems of linear equations. The idea of S. P. Shary of a combined method for correcting a linear tolerance problem has been implemented. A new method for managing the solution by changing the linear algebraic equations interval system matrix elements radii has been developed. The research results can be used for example, to calculate the substance’s concentrations by measurement of the characteristic X-ray radiation.

The dependence of coordinate measurements error of the geometric elements shape characteristics of products on the control points number

The issues of estimating the error of coordinate measurements of the shape characteristics of geometric elements of products depending on the number of control points, taking into account a given confidence probability, are considered. Analytical models are proposed for estimating the error based on a priori data, similar to estimating uncertainty by type B. The correspondence of model and experimental results is verified by the Monte Carlo method using a specially developed program in VBA and the library functions of the Statistical Analysis package of the Microsoft Excel program. Such a characteristic of the shape of the part as roundness is investigated. The influence of the parameters of regular structures associated with the features of the technological processes of manufacturing the part on the parameters of the distribution function of the coordinates of the control points is revealed. Fourier analysis is used to identify and quantify regular structures on the surface of the part. The sources of error that have a significant impact on the results of measurements of the shape characteristics of geometric elements of products are given. Based on the results of statistical calculations, the dependence of the measurement error of the shape characteristics on the number of control points is analyzed, the scope of application of analytical formulas for estimating the error of single measurements for a given confidence probability is determined. The article is intended for specialists in the field of practical coordinate metrology and related fields.

The relationship of the parameters of the optical density of the sample and the absorbance of the sample material

The relationship of the parameters of the optical density of the sample and the absorbance of the sample material is studied, which is relevant for the analysis and differentiation of measurement results by devices with light flux filtration and spectral devices (densitometers and spectrophotometers). To identify the analytical dependence of the obtained values of the optical density of the sample and the absorbance of the sample material, a formula is derived for calculating the diffuse optical transmittance density if the detected radiation contains directional and diffuse components. The first term in the obtained formula characterizes the absorbance of the sample material, the second is a correction due to the diffuse component of the radiation, and is a function of the ratio of the diffuse and regular transmittances. Expressions are obtained that allow functional and quantitative determination of the relationship of the absorbance of the sample material and the parameters of the optical transmittance density of the sample. The results of calculating the absorbance of the sample material, the component of diffuse radiation, diffuse optical transmittance density and corrections of these values are presented.

Application of robust parameter design in the development of a quantitative chemical analysis procedures in metallurgy

The paper presents the results of experimental research for the quantitative chemical analysis procedures using the robust parameter design methodology. There is an example of the parameter design in development of the measurement procedure for the mass fraction of chlorine in dusty waste in the ferronickel production. Results of experiment analysis has provided an information about the optimal conditions for sample preparation procedure.

Method for determining of the optimal thickness of sheets of magnetic cores of electrical machines by the wattmeter method

The problem of reducing magnetic losses (no-load losses) in the steel of the magnetic cores of electrical machines is investigated. The tasc of determining the optimal thickness of steel sheets of the magnetic circuit of an electric machine is considered. The criterion for optimality is the minimum power of magnetic losses in steel. Currently, this problem does not have an exact solution due to the fact that the exact ratio of the hysteresis and eddy current components of magnetic losses in steel is unknown. Analyzed the power of magnetic losses in modern electrical machines and devices, depending on the thickness of the sheets of electrical steel. A method is proposed for determining the optimal thickness of steel sheets of the magnetic circuit of an electric machine based on the wattmeter method. In the course of the experiment, two identical magnetic circuits were selected from steel sheets of different thicknesses, for which the losses in steel were measured at different frequencies of magnetization reversal and the optimal thickness of the sheets was calculated. The proposed formula for calculating the thickness of the sheets is valid for both isotropic and anisotropic steel. The proposed technique can be used for both transformers and electric motors and generators.

The through transmission impact method for measuring the sound velocity in the compact concrete cubic samples

A through transmission impact method for measuring the sound velocity in the concrete cubic samples, which are used for determination of the concrete durability, is proposed. It is shown that for elimination of the surface wave influence on the measurement accuracy of the compact cubic sample resonant frequency the impactor and the receiving transducer should be placed on the opposite sides of the cube. Besides in some cases must be used multichannel through transmission impact method.

Improving the coaxial-stripline test fixture calibration process

The article is devoted to the improvement of the method of calibration of a coaxial-stripline test fixture. Its improvement ensures the transfer of the measurement planes of the S-parameters of the microwave active components, for example transistors, from the coaxial measuring path of the analyzer to the micro-strip line, what is important for designing microstrip devices for various purposes based on the measured S-parameters.