Assessment of risk and safety of structures on slope areas according to geodetic monitoring data

2021 ◽  
Vol 976 (10) ◽  
pp. 42-51
Author(s):  
V.V. Simonyan ◽  
V.I. Volkov
Keyword(s):  
Mathematical Modeling ◽  
Engineering Geology ◽  
Monitoring Data ◽  
Landslide Processes ◽  
Definition Of

Nowadays, the definition of landslide risks is one of the most urgent tasks for many slope areas, since landslide processes directly affect the safety of buildings, structures and, accordingly, the population. As a rule, landslide risks are determined through the methods of engineering geology. Methods of mathematical modeling for assessing the risks of slope areas solve two main tasks

Assessment of Certainty of Ventilation Processes Mathematical Modeling

2015 ◽  
Vol 725-726 ◽  
pp. 1255-1260
Author(s):  
Tamara Daciuk ◽  
Vera Ulyasheva
Keyword(s):  
Mathematical Modeling ◽  
Turbulent Flows ◽  
Turbulence Models ◽  
Field Measurements ◽  
Heat Emission ◽  
Emission Sources ◽  
Wide Range ◽  
Calculation Results ◽  
Definition Of ◽  
Semiempirical Models

Numerical experiment has been successfully used during recent 10-15 years to solve a wide range of thermal and hydrogasodynamic tasks. Application of mathematical modeling used to design the ventilation systems for production premises characterized by heat emission may be considered to be an effective method to obtain reasonable solutions. Results of calculation performed with numerical solution of ventilation tasks depend on turbulence model selection. Currently a large number of different turbulence models used to calculate turbulent flows are known. Testing and definition of applicability limits for semiempirical models of turbulence should be considered to be a preliminary stage of calculation. This article presents results of test calculations pertaining to thermal air process modeling in premises characterized by presence of heat emission sources performed with employment of different models of turbulence. Besides, analysis of calculation results and comparison with field measurements data are presented.

DEVELOPMENT OF MODELS FOR DIAGNOSTIC DIABETES BASED ON FUZZY LOGIC METODS

2021 ◽  
pp. 90-95
Author(s):  
Евгений Николаевич Коровин ◽  
Екатерина Ивановна Новикова ◽  
Олег Валерьевич Родионов
Keyword(s):  
Mathematical Modeling ◽  
Decision Making ◽  
Information Technology ◽  
Fuzzy Logic ◽  
Human Body ◽  
Patient Information ◽  
Decision Making Process ◽  
Speed Up ◽  
Definition Of

В статье рассматриваются разработки методов интеллектуальной поддержки процесса диагностики сахарного диабета, а также определение его типа. В последние годы количество людей, страдающих данным заболеванием, неуклонно растет, а без своевременной диагностики эта патология может нанести огромный вред организму человека. Сахарный диабет 1 типа опасен тем, что в основном возникает у людей молодого возраста. Оперативное обнаружение диабета, а также определение его типа, поможет не только избежать возможных осложнений, но и в некоторых случаях предотвратить смерть пациента. Информационные технологии все чаще используются в различных сферах деятельности для разработки новых или совершенствования существующих методов обработки данных, особенно это можно заметить в сфере медицины. В настоящее время врач самостоятельно ставит диагноз, основываясь на результатах различных анализов, однако, для ускорения процесса принятия решения, можно воспользоваться методами математического моделирования, а именно: моделями диагностики диабета на основе нечеткой логики. Для наибольшего удобства данный способ распознавания заболевания впоследствии можно реализовать в информационно-программное обеспечение, которое сможет еще больше увеличить эффективность и скорость распознавания патологии The article discusses the issues of the incidence of diabetes in the population, in particular, the definition of its type. In recent years, the number of people suffering from this disease has been steadily growing, and without timely diagnosis, this pathology can cause enormous harm to the human body. Prompt detection of diabetes, as well as determination of its type, will help not only avoid possible complications, but also in some cases prevent the death of the patient. Information technology is increasingly being used in various fields of activity to develop new or improve existing methods of data processing, especially in the field of medicine. Currently, the doctor independently makes a diagnosis based on the results of various analyzes, however, to speed up the decision-making process, you can use the methods of mathematical modeling, namely, models of diabetes diagnostics based on fuzzy logic. For the greatest convenience, this method of disease recognition can subsequently be implemented in information software, which can further increase the efficiency and speed of pathology recognition

New Concept in Preventive Orthopedics. The Prevention of Pathological Fractures of the Proximal Hip Through Prophylactic Reinforcement

2015 ◽  
Vol 22 (4) ◽  
pp. 39-46
Author(s):  
Минасов ◽  
T. Minasov ◽  
Минасов ◽  
B. Minasov ◽  
Дубров ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Cortical Layer ◽  
Low Energy ◽  
Design Quality ◽  
Pathological Fractures ◽  
Bony Tissue ◽  
Bone Implant ◽  
Bench Tests ◽  
Type Design ◽  
Definition Of

The paper is dedicated to the pilot study of the surgical ways of preventing fractures of the hip among elderly patients suffering from various diseases that cause destructive‐dystrophic changes of the bony tissue (osteoporosis, cancer, cartilage and fibrous dysplasia, etc.) and are the cause of pathological fractures. The research involves the identification of people at risk, the development of preventive techniques and original reinforcement implant designs, the definition of a methodology for mathematical modeling and bench tests to determine the strength of the original implant reinforced hip. Studies have shown that the index of strain in the bone is considerably lower than on its surface (closer to longer‐term cortical layer), and when the load increases, it results in the development of a fracture. As a result of the reinforcement of the bone with different implants the index of strain at critical points is increases up to 11.6% ‐12.1. The bench tests proved that the preventive reinforcement to prevent fractures in low‐energy trauma can increase the strength of bone‐implant, depending on the type, design, quality, implant and method of its introduction up to 23‐93%.

scholarly journals Numerical methods for black box software

2019 ◽  
pp. 147-169
Author(s):  
С.И. Мартыненко
Keyword(s):  
Mathematical Modeling ◽  
Numerical Methods ◽  
Unstructured Grids ◽  
Numerical Algorithms ◽  
Black Box ◽  
Optimal Complexity ◽  
Structured Grids ◽  
Accurate Definition ◽  
Definition Of ◽  
Robust Multigrid

Сформулированы требования к вычислительным алгоритмам для перспективного программного обеспечения, устроенного по принципу "черного ящика" и предназначенного для математического моделирования в механике сплошных сред. Выполнен анализ прикладных свойств классических многосеточных методов и универсальной многосеточной технологии в рамках проблемы "универсальность-эффективность-параллелизм". Показано, что близкая к оптимальной трудоемкость при минимуме проблемно-зависимых компонентов и высокая эффективность параллелизма достижимы при использовании универсальной многосеточной технологии на глобально структурированных сетках. Применение неструктурированных сеток потребует определения двух проблемно-зависимых компонентов (межсеточных операторов), которые значительно влияют на трудоемкость алгоритма. A number of requirements are formulated to the numerical algorithms for black box software intended for mathematical modeling in continuum mechanics. An analysis of applied properties of the classical multigrid methods and robust multigrid technique in the framework of "robustness-efficiency-parallelism" problem is performed. It is shown that a close-to-optimal complexity with the least number of problem-dependent components and high parallel efficiency can be achieved with the robust multigrid technique on globally structured grids. Application of unstructured grids requires the accurate definition of two problem-dependent components (intergrid operators) that strongly affect on the complexity of an algorithm.

APPLICATION OF INCLINED LONGITUDINAL ULTRASONIC WAVES TO IMPROVE THE EFFICIENCY OF RAIL FLAW DETECTION

2021 ◽  
pp. 4-13
Author(s):  
A. A. Markov ◽  
V. V. Mosyagin ◽  
S. L. Molotkov ◽  
G. A. Ivanov
Keyword(s):  
Mathematical Modeling ◽  
Ultrasonic Testing ◽  
Flaw Detection ◽  
Flaw Detector ◽  
Ultrasonic Waves ◽  
Shadow Method ◽  
Additional Information ◽  
Location Depth ◽  
Definition Of ◽  
Longitudinal Ultrasonic Waves

The article is devoted to the question of rail ultrasonic testing confidence. At present there is a range of flaw orientation angles in within which the testing is absent and, therefore such flaws can be lost. To except this drawback the current sound testing scheme in flaw detector railcars is to be supplemented with inclined probes exciting longitudinal wave. Experimental checks using echomethod showed the good results on an October railway section with flaw models and on a loaded Zabaycalskaya railway section. The next step was idea of mirror-shadow method using as well as echomethod by turning of probes towards each other. Envelope analysis of bottom signals allows receiving additional information about flaws: location depth of its center and form. But using of pair of probes was not enough for unambiguous definition of other geometric flaws characteristics. That is why the bottom signal envelope of straight probe was to be analyzed additionally. A mobile (as well removable) searching system of rail checking means has such probe as a rule. In the process of writing the article previously obtained formulas to calculate depth, inclination angle and plane size of revealed flaw were modified. Values changing during testing process are absent now. Algorithm of flaws identification on the basis of bottom signals envelope is given. The approach is confirmed by mathematical modeling in CIVA-UT.

scholarly journals THE ROLE OF MATHEMATICAL MODELLING OF PRODUCTION PROBLEMS IN SPECIALIZED SCHOOL

2021 ◽  
Author(s):  
Smagulov E. Zh. ◽  
Mendigaliyeva G. Kh. ◽  
Smagulov B. E.
Keyword(s):  
Mathematical Modeling ◽  
Information Technology ◽  
Mathematical Modelling ◽  
Technological Process ◽  
Educational Environment ◽  
International Standards ◽  
Specialized School ◽  
Definition Of ◽  
Production Problems

The article discusses the main directions of the development of the educational environment and the role of mathematical modeling of production problems in a specialized school. The key issue of the modernization of education is described - this is improving its quality, bringing it in line with international standards. The emphasis is not on the knowledge gained, but rather on the process of applying this knowledge. The definition of the concept of pedagogical technology is given - this is information technology, since the basis of the technological process of training is the receipt and transformation of information.

scholarly journals Engineering geology: development and perspectives

2002 ◽  
Vol 34 (6) ◽  
pp. 2263
Author(s):  
Γ. ΚΟΥΚΗΣ
Keyword(s):  
Professional Practice ◽  
Engineering Geology ◽  
Definition Of ◽  
Diachronic Development ◽  
And Training

This paper refers to the following issues: the definition of Engineering Geology, diachronic development, professional practice and registration, teaching and training, responsibilities - limitations - future

Chaos, Topology, and Social Organization

1992 ◽  
Vol 2 (2) ◽  
pp. 144-177
Author(s):  
Russ Marion
Keyword(s):  
Mathematical Modeling ◽  
Phase Space ◽  
Data Collection ◽  
Nonlinear Equation ◽  
Social Organization ◽  
Chaos Theory ◽  
Social Systems ◽  
Definition Of ◽  
Metaphorical Analysis ◽  
Conclusion Section

This paper attempts to apply chaos theory to social organization. It begins with a mathematical definition of chaos. Specifically, the geometric concept of attractor is explored; phase space and Poincaré maps are discussed and applied to the concept of attractor; and nonlinearity is conceptually defined. We then apply the mathematics of chaos to social systems by showing how a nonlinear equation might be used to describe organization and how data derived from a simple univariate equation can be converted into a multivariate Poincaré map. The conclusion section identifies three approaches to analyzing chaos in social organization: metaphorical analysis, mathematical modeling, and data collection. Finally, possible uses of chaos are explored, as are the shortcomings of such analysis.

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