Добірка наукової літератури з теми "Aerodynamic multiplication"

Building a visual mathematical model of the electromechanical wind power system with aerodynamic multiplication. In the process of constructing a visual mathematical model of the electromechanical system of wind turbines with aerodynamic multiplication, a mathematical apparatus for describing the system in local mean values of variables was used. Verification of the mathematical model was carried out in the MATLAB Simulink program. A visual mathematical model of the electromechanical system of wind turbines with aerodynamic multiplication is developed, which includes mechanical power losses on the shaft of the primary wind turbine. The visual mathematical model of the electromechanical system of wind power plant with aerodynamic multiplication taking into account the mechanical power losses on the shaft of the primary wind turbine with uneven distribution of power flows between the three secondary aeromechanical subsystems was proposed for the first time.

Understanding the impact distribution of particles entering the human respiratory system is of primary importance as it concerns not only atmospheric pollutants or dusts of various kinds but also the efficiency of aerosol therapy and drug delivery. To model this process, current approaches consist of increasingly complex computations of the aerodynamics and particle capture phenomena, performed in geometries trying to mimic lungs in a more and more realistic manner for as many airway generations as possible. Their capture results from the complex interplay between the details of the aerodynamic streamlines and the particle drag mechanics in the resulting flow. In contrast, the present work proposes a major simplification valid for most airway generations at quiet breathing. Within this context, focusing on particle escape rather than capture reveals a simpler structure in the entire process. When gravity can be neglected, we show by computing the escape rates in various model geometries that, although still complicated, the escape process can be depicted as a multiplicative escape cascade in which each elementary step is associated with a single bifurcation. As a net result, understanding of the particle capture may not require computing particle deposition in the entire lung structure but can be abbreviated in some regions using our simpler approach of successive computations in single realistic bifurcations. Introducing gravity back into our model, we show that this multiplicative model can still be successfully applied on up to nine generations, depending on particle type and breathing conditions.

The necessity of studying the influence of the transformation of the frequency mismatch function of a coherent bundle of radio pulses on the quality of solving the radar frequency resolution problem is substantiated. This solution determines the effectiveness of radar observation of high-speed and maneuvering individual and group aerodynamic objects. The method is based on explicit expressions for calculating the normalized frequency mismatch function of a coherent bundle of radio pulses, taking into account its transformation due to the radial motion of high-speed and maneuvering individual and group aerodynamic objects. The estimation of the potential frequency resolution of bundles with different numbers of radio pulses with typical parameters for a coherent pulse radar is carried out. Possible values of frequency resolution under the additive effect of uncorrelated internal noise of the radar receiver and the multiplicative effect of correlated phase fluctuations of the radar signal are estimated. With an insignificant multiplicative effect of correlated phase fluctuations, a twofold increase in the number of radio pulses in a bundle provides an improvement in the frequency resolution (reduction of the width of the normalized frequency mismatch function) by 100 %. With the predominant multiplicative effect of these fluctuations, a twofold increase in the number of radio pulses results in an improvement in the frequency resolution by about 40 %. The developed method is of great theoretical and practical importance for the further development of the radar theory of high-speed and maneuvering individual and group aerodynamic objects.

Introduction. The emergence of new parallel computing systems such as multi-core processors, clusters, distributed systems, due to the solution of various applications in different spheres. Among such problems are the calculation of systems of linear algebraic equations with the number of unknown 33-35 million, the calculation of nuclear reactor shells, modeling of physical and chemical processes, aerodynamics, hydrodynamics, information security, and so on. This greatly expands the use of multidigit arithmetic, due to the fact that ignoring rounding errors leads to the fact that sometimes computer solutions are obtained that do not correspond to the physical content. Multidigit multiplication operation is an integral part of the exponentiation by module operation, the speed of which determines the speed of asymmetric cryptographic software and hardware complexes. This paper presents algorithms for implementing the multiplication operation of two N-digit numbers based on discrete cosine and sine transforms (DCT and DST) by separating the calculation for the real and imaginary parts of the DFT. Calculation of DCT and DST at the expense of additional bit shifts, additions and subtractions reduces the algorithm complexity to linear complexity by the number of integer multiplication operations. The purpose of the article is to reduce the number of multiplication operations to speed up the execution time of the multiplication operation of two N-bit numbers based on discrete transforms. Reduce the number of complex multiplication operations. Reduce the overall computational complexity and find a modification in which the calculation steps will correspond to DCT, DSP, IDCT and IDST. Use the coefficients to take into account the rounding errors to exclude multiplication operations on calculating DCT, DST, IDCT and IDST. Results. The relationship between DCT, DST and DFT of a real signal is considered, which allows to separate calculations for real and imaginary parts of DFT of real signals. The computational complexity is reduced almost twice at the expense of use of DFT properties of real signals. It is shown that after optimization steps of the algorithm calculation correspond to DCT, DST, IDCT and IDST. Using additional coefficients, which allow to take into account rounding errors at each step so that all calculations use integers. An analysis of the choice of word length in the calculation is given. For each algorithm, examples of calculation are given. Tables of dependence of the minimum lengths of the coefficients on the length of the multidigit number and the length of the digit (in bits) are given. Conclusions. Multiplication algorithms of two N-digit numbers based on discrete cosine and sine transforms (DCT and DST) are presented in this paper. Separating the calculation for the real and imaginary parts of the DFT allows to reduce the number of multiplication operations by 33%. The use of additional coefficients and calculation of DCT, DST, IDCT, IDST at the expense of bit shifts, additions and subtractions reduces the complexity of the multiplication algorithm of two N-digit numbers to linear complexity by the number of simple integer multiplication operations. Based on comparative analysis, it is shown that the proposed method of multiplication based on DCT and DST using integers begins to exceed the Karatsuba method by the number of 32-bit multiplication operations when multiplying numbers, starting with a length of 4096 bits. Keywords: multidigit multiplication, multidigit arithmetic, asymmetric cryptography, discrete cosine transform, discrete sine transform, discrete Fourier transform, fast algorithm for Fourier calculation.

AbstractMultidimensional singular integral equations (SIEs) play a key role in many areas of applied science such as aerodynamics, fluid mechanics, etc. Solving an equation with a singular kernel can be a challenging problem. Therefore, a plethora of methods have been proposed in the theory so far. However, many of them are discussed in the simplest cases of one–dimensional equations defined on the finite intervals. In this study, a very efficient method based on trigonometric interpolating polynomials is proposed to derive an approximate solution of a SIE with a multiplicative Cauchy kernel defined on the Euclidean plane. Moreover, an estimation of the error of the approximated solution is presented and proved. This assessment and an illustrating example show the effectiveness of our proposal.

Abstract Air pollution epidemiology studies have primarily investigated long- and short-term exposures separately, have used multiplicative models, and have been associational studies. Implementing a generalized propensity score adjustment approach with 3.8 billion person-days of follow-up, we simultaneously assessed causal associations of long-term (1-year moving average) and short-term (2-day moving average) exposure to particulate matter with an aerodynamic diameter less than or equal to 2.5 μm (PM2.5), ozone, and nitrogen dioxide with all-cause mortality on an additive scale among Medicare beneficiaries in Massachusetts (2000–2012). We found that long- and short-term PM2.5, ozone, and nitrogen dioxide exposures were all associated with increased mortality risk. Specifically, per 10 million person-days, each 1-μg/m3 increase in long- and short-term PM2.5 exposure was associated with 35.4 (95% confidence interval (CI): 33.4, 37.6) and 3.04 (95% CI: 2.17, 3.94) excess deaths, respectively; each 1–part per billion (ppb) increase in long- and short-term ozone exposure was associated with 2.35 (95% CI: 1.08, 3.61) and 2.41 (95% CI: 1.81, 2.91) excess deaths, respectively; and each 1-ppb increase in long- and short-term nitrogen dioxide exposure was associated with 3.24 (95% CI: 2.75, 3.77) and 5.60 (95% CI: 5.24, 5.98) excess deaths, respectively. Mortality associated with long-term PM2.5 and ozone exposure increased substantially at low levels. The findings suggested that air pollution was causally associated with mortality, even at levels below national standards.

The necessity of estimating the decrease in the accuracy of measuring the informative parameters of a radar signal in real conditions of its propagation and reflection has been substantiated. The results of the estimation determine the requirements for optimizing this measurement to achieve the required efficiency. A numerical analysis of the decrease in the accuracy of measuring the Doppler frequency of a coherent packet is presented, depending on the statistical characteristics of fluctuations of the initial phases of its radio pulses. Expressions are given for calculating the fluctuation component of the measurement error of radio pulse packet frequency for various coefficients of interpulse correlation of phase fluctuations. An assessment is made of the possibility of increasing the accuracy of Doppler frequency measurement, which can be ensured by statistical optimization of the algorithm for time-frequency processing of a given radar signal by taking into account its phase fluctuations. The conditions for the multiplicative influence of phase fluctuations of radio pulses of the received packet are substantiated, which determine the efficiency of optimization of Doppler frequency measurement. Based on the results of the study, an optimization method for measuring the Doppler frequency of the packet taking into account fluctuations in the initial phases of its radio pulses is proposed. The accuracy of Doppler frequency measurement under the influence of both the internal noise of the radar receiver and the correlated phase fluctuations of its radio pulses is estimated. The efficiency of optimization of measuring the Doppler frequency of the packet is estimated taking into account fluctuations of the initial phases of its radio pulses by means of computer simulation. It is proved that, under the influence of phase fluctuations, the accuracy of Doppler frequency measurement can be increased due to the performed optimization from 1.86 to 6.29 times. This opens the way to improving the existing algorithms for measuring the higher time range derivatives to improve the quality of tracking complex maneuvering aerodynamic objects. This explains the importance and usefulness of the work for the radar theory.

Rig and engine test processes and in-flight operation and safety for modern gas turbine engines can be greatly improved with the development of accurate on-line measurement to gauge the aerodynamic stability level for fans and compressors. This paper describes the development and application of a robust real-time algorithm for gauging fan/compressor aerodynamic stability level using over-the-rotor dynamic pressure sensors. This real-time scheme computes a correlation measure through signal multiplication and integration. The algorithm uses the existing speed signal from the engine control for cycle synchronization. The algorithm is simple and is implemented on a portable computer to facilitate rapid real-time implementation on different experimental platforms as demonstrated both on a full-scale high-speed compressor rig and on an advanced aircraft engine. In the multistage advanced compressor rig test, the compressor was moved toward stall at constant speed by closing a discharge valve. The stability management system was able to detect an impending stall and trigger opening of the valve so as to avoid compressor surge. In the full-scale engine test, the engine was configured with a one-per-revolution distortion screen and transients were run with a significant amount of fuel enrichment to facilitate stall. Test data from a series of continuous rapid transients run in the engine test showed that in all cases, the stability management system was able to detect an impending stall and manipulated the enrichment part of the fuel schedule to provide stall-free transients.

Дисертація на здобуття наукового ступеня доктора технічних наук за спеціальністю 05.09.03 "Електротехнічні комплекси та системи" (14 - Електрична інженерія) - Запорізький національний університет, Запоріжжя, 2020. Подана до захисту до спеціалізованої вченої ради Д 64.050.04 у Національному технічному університеті "Харківський політехнічний інститут". Дисертація присвячена вирішенню актуальної наукової проблеми, що полягає у розвитку теоретичних засад синтезу електромеханічних систем вітроенергетичних установок (ВЕУ) з аеродинамічним мультиплікуванням (АДМ), які забезпечують максимальну ефективність роботи ВЕУ з точки зору відбору потужності від вітрового потоку та підвищення їх експлуатаційної надійності. Запропонована узагальнена математична модель вітроелектрогенеруючої системи ВЕУ з аеродинамічним мультиплікуванням, яка дозволяє отримувати теоретичні залежності, що описують властивості даної системи, в узагальненій формі з метою їх використання при проектуванні даних систем. Запропоновано графоаналітичний метод аналізу ефекту автооптимізації, який дозволив: дати теоретичне пояснення причин появи цього ефекту та виявити умови, що необхідні для його виникнення, намітити шляхи його більш ефективного використання. Запропоновано спосіб декомпозиції електромеханічної системи та методику побудови схем трактів перетворення енергії в цих системах, які дозволяють розглядати широкий клас електромеханічних систем ВЕУ з аеродинамічним мультиплікуванням з єдиних теоретичних позицій, проводити їх аналіз та класифікацію за структурними ознаками, виявляти ці ознаки завдяки наочній візуалізації. Запропоновано спосіб синтезу візуально-блочних моделей електромеханічних систем ВЕУ з АДМ, який значно скорочує терміни проведення даного синтезу та значно зменшує ймовірність помилок при моделюванні. Розроблено формалізований алгоритм перетворення візуально-блочної моделі електротехнічного комплексу ВЕУ з АДМ, який дозволяє значно скоротити створення математичного опису електромеханічної системи ВЕУ з АДМ як об'єкту управління, що використовується при синтезі її систем управління. Розроблено алгоритм моментного керування електромеханічною системою ВЕУ з АДМ, який дозволяє використовувати аеромеханічну систему ВЕУ з АДМ з жорсткою аеродинамічною конструкцією первинного вітроколеса, що значно зменшує капітальні та експлуатаційні витрати на ВЕУ та підвищує її експлуатаційну надійність. Шляхом математичного моделювання отримано залежності величини перевищення потужності, під час перехідного процесу при реалізації алгоритму моментного управління електромеханічною системою ВЕУ з АДМ, від середнього значення, амплітуди та частоти коливання вітрового потоку, що дозволяє проводити розрахунок встановленої потужності компонентів електрообладнання ВЕУ. В результаті модельного експерименту отримано характеристики впливу параметрів системи на величину вихідної потужності, що дозволило визначити оптимальні режими керування електромеханічною системою ВЕУ з АДМ. За допомогою експериментальної ВЕУ було підтверджено працездатність запропонованого способу моментного управління ВЕУ з АДМ. Розроблено схему та алгоритм функціонування імітатору аеромеханічної підсистеми, який дозволяє створити стенд для випробування електрообладнання ВЕУ з АДМ в лабораторних або цехових умовах як на стадії розробки нового електрообладнання, так і при випробуванні електрообладнання при серійному виробництві цих систем. Результати роботи було використано при проектуванні електрообладнання ВЕУ з АДМ ТГ-750, ТГ-1000 ВАТ «НДІ «Перетворювач» (м. Запоріжжя) і КБ «Конкорд» (м. Дніпро) та в перспективній розробці КБ «Голубенко» ВАТ «Згода» (м. Дніпро) ВЕУ з АДМ ТГ-2100 потужністю 2100 кВт.
Dissertation on achieving the scientific degree Doctor of Technical Science by specialty 05.09.03 "Electrotechnical Complexes and Systems" (14 - Electrical engineering) - Zaporizhzhya National University, Zaporizhzhia, 2020. Filed for defense at a specialized academic council D 64.050.04 at the National Technical University «Kharkiv Polytechnic Institute». The development of the synthesis theoretical base of the wind power plants electromechanical systems with aerodynamic multiplication (ADM), provide the maximum efficiency of wind turbines in power take-off from the wind flow terms and increase their operational reliability, was the dissertation subject. A generalized wind turbine with aerodynamic multiplication mathematical model was proposed. This model allows one to obtain theoretical dependencies describing the properties of a given system in a generalized form for the purpose of its use in the design of these systems. The graph analytical method for analyzing the effect of auto-optimization is proposed in the thesis. This method allowed us to give a theoretical explanation of the reasons for the appearance of the auto-optimization effect, discovered the conditions for its occurrence, and outlined the ways for its more efficient use. The decomposition method of the electromechanical system and the methodology for constructing circuits of energy conversion paths in these systems are also proposed in the paper. These methods allow us to consider a wide class of wind turbines with aerodynamic multiplication from a single theoretical point of view analyze and classify them according to structural features, and identify these features through visualization. A method of visual-block models synthesis of wind turbines with ADM is proposed. This method significantly shortens synthesis time and significantly reduces the probability of modeling errors. A formalized algorithm for the transformation of the visual-block model of the electrotechnical complex of wind turbines with ADM has been developed. An algorithm for the instantaneous control of a wind turbines electromechanical system with ADM was developed. The algorithm allows using the wind system with the rigid aerodynamic design of the primary wind wheel, which significantly reduces the capital and operational costs of the wind turbine and increases its operational reliability. The excess power amount dependence, during the transition process, when implementing the algorithm for instant control of the wind turbine electromechanical system with ADM, on the amplitude and frequency of the wind flow oscillations, which allows you to calculate the installed power in the elements of electrical equipment, are got as the result by mathematical modeling. As the result of the model experiment, the influence of the system parameters characteristics on the output power was obtained, which made it possible to determine the optimal control modes for the electromechanical system of wind turbines with ADM. With the help of an experimental wind turbine, the efficiency of the proposed method of instantaneous control of wind turbine with ADM was confirmed. The scheme and algorithm of functioning of the simulator of the aeromechanical subsystem are developed. This allows creating a stand for electrical equipment testing of wind turbines with ADM in laboratory or workshop conditions both at the development stage of new electrical equipment and during testing of electrical equipment during the batch production of these systems. The results of the work were used in the design of wind turbine electrical equipment with ADM TG-750, TG-1000 of OJSC "Preobraxovatel" Research Institute (Zaporizhzhya) and Concord CB (Dnipro) and in the prospective development of Golubenko CB of OJSC "Zgoda" (Dnipro) Wind turbine with ADM TG-2100 capacity of 2100 kW.

Дисертація на здобуття наукового ступеня доктора технічних наук за спеціальністю 05.09.03 "Електротехнічні комплекси та системи" - Запорізький національний університет, Запоріжжя, 2020. Дисертація присвячена вирішенню актуальної наукової проблеми, що полягає у розвитку теоретичних засад синтезу електромеханічних систем вітроенергетичних установок з аеродинамічним мультиплікуванням, які забезпечують максимальну ефективність роботи ВЕУ з точки зору відбору потужності від вітрового потоку та підвищення їх експлуатаційної надійності. Запропонована узагальнена математична модель вітроелектрогенеруючої системи ВЕУ з аеродинамічним мультиплікуванням, яка дозволяє отримувати теоретичні залежності, що описують властивості даної системи, в узагальненій формі з метою їх використання при проектуванні даних систем. Запропоновано графоаналітичний метод аналізу ефекту автооптимізації, який дозволив: дати теоретичне пояснення причин його появи та виявити умови, що необхідні для виникнення цього ефекту, намітити шляхи його більш ефективного використання. Запропоновано спосіб декомпозиції електромеханічної системи та методику побудови схем трактів перетворення енергії в цих системах, які дозволяють розглядати широкий клас електромеханічних систем ВЕУ з аеродинамічним мультиплікуванням з єдиних теоретичних позицій, проводити їх аналіз та класифікацію за структурними ознаками, виявляти ці ознаки завдяки наочній візуалізації. Запропоновано спосіб синтезу візуально-блочних моделей електромеханічних систем ВЕУ з АДМ, який значно скорочує терміни проведення даного синтезу та значно зменшує ймовірність помилок при моделюванні. Розроблено формалізований алгоритм перетворення візуально-блочної моделі електротехнічного комплексу ВЕУ з АДМ, який дозволяє значно скоротити створення математичного опису електромеханічної системи ВЕУ з АДМ як об'єкту управління, що використовується при синтезі її систем управління. Розроблено алгоритм моментного управління електромеханічною системою ВЕУ з АДМ, який дозволяє використовувати аеромеханічну систему ВЕУ з АДМ з жорсткою аеродинамічною конструкцією первинного вітроколеса, що значно зменшує капітальні та експлуатаційні витрати на ВЕУ та підвищує її експлуатаційну надійність. Шляхом математичного моделювання отримано залежності величини перевищення потужності під час перехідного процесу, при реалізації алгоритму моментного управління електромеханічною системою ВЕУ з АДМ, від середнього значення, амплітуди та частоти коливання вітрового потоку, що дозволяє проводити розрахунок встановленої потужності компонентів електрообладнання ВЕУ. В результаті модельного експерименту отримано характеристики впливу параметрів системи на величину вихідної потужності, що дозволило визначити оптимальні режими управління електромеханічною системою ВЕУ з АДМ. За допомогою експериментальної ВЕУ було підтверджено працездатність запропонованого способу моментного управління ВЕУ з АДМ. Розроблено схему та алгоритм функціонування імітатору аеромеханічної підсистеми, який дозволяє створити стенд для випробування електрообладнання ВЕУ з АДМ в лабораторних або цехових умовах як на стадії розробки нового електрообладнання, так і при випробуванні електрообладнання при серійному виробництві цих систем. Результати роботи було використано при проектуванні електрообладнання ВЕУ з АДМ ТГ-750 та ТГ-1000 ВАТ «НДІ «Перетворювач» (м. Запоріжжя) і КБ «Конкорд» (м. Дніпро) та у перспективній розробці КБ «Голубенко» ВАТ «Згода» (м. Дніпро) ВЕУ з АДМ ТГ-2100 потужністю 2100 кВт.
Dissertation on achieving the scientific degree Doctor of Technical Science by specialty 05.09.03 "Electrotechnical Complexes and Systems" - Zaporizhzhya National University, Zaporizhzhia, 2020. The development of the synthesis theoretical base of the wind power plants electromechanical systems with aerodynamic multiplication, provide the maximum efficiency of wind turbines in power take-off from the wind flow terms and increase their operational reliability, was the dissertation subject. A generalized wind turbine with aerodynamic multiplication mathematical model was proposed. This model allows one to obtain theoretical dependencies describing the properties of a given system in a generalized form for the purpose of its use in the design of these systems. The graph analytical method for analyzing the effect of auto-optimization is proposed in the thesis. This method allowed us to give a theoretical explanation of the reasons for the appearance of the auto-optimization effect, discovered the conditions for its occurrence, and outlined the ways for its more efficient use. The decomposition method of the electromechanical system and the methodology for constructing circuits of energy conversion paths in these systems are also proposed in the paper. These methods allow us to consider a wide class of wind turbines with aerodynamic multiplication from a single theoretical point of view analyze and classify them according to structural features, and identify these features through visualization. A method of visual-block models synthesis of wind turbines with ADM is proposed. This method significantly shortens synthesis time and significantly reduces the probability of modeling errors. A formalized algorithm for the transformation of the visual-block model of the electrotechnical complex of wind turbines with ADM has been developed. An algorithm for the instantaneous control of a wind turbines electromechanical system with ADM was developed. The algorithm allows using the wind system with the rigid aerodynamic design of the primary wind wheel, which significantly reduces the capital and operational costs of the wind turbine and increases its operational reliability. The excess power amount dependence, during the transition process, when implementing the algorithm for instant control of the wind turbine electromechanical system with ADM, on the amplitude and frequency of the wind flow oscillations, which allows you to calculate the installed power in the elements of electrical equipment, are got as the result by mathematical modeling. As the result of the model experiment, the influence of the system parameters characteristics on the output power was obtained, which made it possible to determine the optimal control modes for the electromechanical system of wind turbines with ADM. With the help of an experimental wind turbine, the efficiency of the proposed method of instantaneous control of wind turbine with ADM was confirmed. The scheme and algorithm of functioning of the simulator of the aeromechanical subsystem are developed. This allows creating a stand for electrical equipment testing of wind turbines with ADM in laboratory or workshop conditions both at the development stage of new electrical equipment and during testing of electrical equipment during the batch production of these systems. The results of the work were used in the design of wind turbine electrical equipment with ADM TG-750, TG-1000 of OJSC "Preobrazovatel" Research Institute (Zaporizhzhya) and Concord CB (Dnipro) and in the prospective development of Golubenko CB of OJSC "Zgoda" (Dnipro) Wind turbine with ADM TG-2100 capacity of 2100 kW.

Rig and engine test processes and in-flight operation and safety for modern gas turbine engines can be greatly improved with the development of accurate on-line measurement to gauge the aerodynamic stability level for fans and compressors. This paper describes the development and application of a robust real time algorithm for gauging fan/compressor aerodynamic stability level using over-the-rotor dynamic pressure sensors. This real time scheme computes a correlation measure through signal multiplication and integration. The algorithm uses the existing speed signal from the engine control for cycle synchronization. The algorithm is simple and is implemented on a portable computer to facilitate rapid realtime implementation on different experimental platforms as demonstrated both on a full-scale high-speed compressor rig and on an advanced aircraft engine. In the multi-stage advanced compressor rig test, the compressor was moved toward stall at constant speed by closing a discharge valve. The stability management system was able to detect an impending stall and trigger opening of the valve so as to avoid compressor surge. In the full-scale engine test, the engine was configured with a one-per-rev distortion screen and transients were run with a significant amount of fuel enrichment to facilitate stall. Test data from a series of continuous rapid transients run in the engine test showed that in all cases the stability management system was able to detect an impending stall and manipulated the enrichment part of the fuel schedule to provide stall free transients.

The solution to the problem on building mathematical models of technical objects through the approximation of various experimental dependences is offered in the paper. This approach is especially true for modeling aircraft because the aerodynamic coefficients of their models can be obtained either by full-scale study or by computer simulation only. Currently, the experimental simulation is performed either through the regression analysis (RGA) methods, or through spline approximation. However, the RGA has a significant disadvantage, namely a poor approximability of piecewise and multiextremal dependencies. The RGA gives a rough approximation of the experimental data for similar curves. Spline approximation is free from this disadvantage. However, a high degree of discretization, a strict binding to the number of spline points, and a large number of equations, make this approach inconvenient for application when a compact model building and an analytic transformation are required. A problem solution combining the advantages of both approaches and clearing up the troubles is offered in the paper. The proposed approach is based on the regression construction of the mathematical models of the dependence fragments, the multiplicative excision of these fragments in the local functional form, and on the additive combining of these local functions into a single analytic expression. The effect is achieved by using special “selection” functions multiplicatively limiting a nonzero definition domain for each of the approximating functions. The method is named “cut-glue” by the physical analogy of the approximation techniques. The order and structure of the approximating function for each segment can be arbitrary. A significant advantage of the “cut-glue” approximation is in a single analytic expression of the whole piecewise function instead of a cumbersome system of equations. The analytical and numerical studies of the properties and operational experience of the proposed method are resulted.