scholarly journals Graph Theory of Tower Tasks

2012 ◽  
Vol 25 (1) ◽  
pp. 13-22 ◽  
Author(s):  
Andreas M. Hinz
Keyword(s):  
Mathematical Model ◽  
Graph Theory ◽  
The State ◽  
State Graph ◽  
Problem Space ◽  
Test Tool ◽  
The Mathematical Model ◽  
Analysis Of Performance ◽  
Selection Of

The appropriate mathematical model for the problem space of tower transformation tasks is the state graph representing positions of discs or balls and their moves. Graph theoretical quantities like distance, eccentricities or degrees of vertices and symmetries of graphs support the choice of problems, the selection of tasks and the analysis of performance of subjects whose solution paths can be projected onto the graph. The mathematical model is also at the base of a computerized test tool to administer various types of tower tasks.

The envelope method in the problem of choosing a rational composition of measuring instruments

2021 ◽  
pp. 68-72
Author(s):  
Il'ya A. Meshchikhin ◽  
Sergej S. Gavryushin
Keyword(s):  
Mathematical Model ◽  
Monitoring Systems ◽  
Measuring Instruments ◽  
Key Points ◽  
Envelope Method ◽  
Loaded State ◽  
The Mathematical Model ◽  
Selection Of ◽  
Rational Composition

As part of the development of monitoring systems for the operation of technical objects, the problem of improving the quality of monitoring systems for the loaded state is considered. Based on the analysis of the mathematical model of the structure and its loading, a methodology for the selection of measuring instruments was developed. The urgency of the problem of calculating substantiation of the choice of key points of the structure is shown, at which it is possible to measure deformations for the subsequent restoration of the existing loads with maximum accuracy. An approach based on the envelope method for determining the rational composition of measuring instruments for restoring the loads acting on the structure is stated.

Аpplication of the mathematical model of human torso for modeling abbreval influence in wound ballistics

2020 ◽  
Vol 22 (3) ◽  
pp. 132-139
Author(s):  
A. V. Denisov ◽  
M. D. Stepanov ◽  
N. A. Haraldin ◽  
A. V. Stepanov ◽  
A. I. Borovkov ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Element Model ◽  
Mechanical Action ◽  
Calculation Model ◽  
Calculation Results ◽  
Automated Processing ◽  
Original Calculation ◽  
Using Data ◽  
The Mathematical Model ◽  
Selection Of

Abstract. In the work, a review of scientific articles on the behavior of tissues and organs of the human body under local mechanical effects on it, as well as a description of the physico-mechanical properties of biological materials. The selection of mechanical behavior for each biological material as part of a mathematical model of the human torso was carried out, its finite element model was created, validation experiments were modeled using data presented in the literature. An original calculation model of a human torso with a tuned interaction of organs with each other was developed. Contact interaction parameters are determined. The developed computational model of a human torso was verified based on data from open sources for an experiment with mechanical action by a cylindrical impactor. An algorithm for processing pressure and acceleration graphs has been implemented in order to obtain tolerance curves. A specialized modular program has been created for the automated processing of calculation results and the output of the main results. 42 numerical tests were carried out simulating the entry of a steel ball into each of 21 zones for power engineers of 40 and 80 J. According to the results of the tests for each organ, pressure and acceleration tolerance curves were obtained, animations of the behavior of organs under shock were created, visualization of the pressure field propagation in organs was obtained torso.

Control Curves Method of Airframe Geometry Modeling

2013 ◽  
Vol 199 ◽  
pp. 279-284
Author(s):  
Stanisław Kachel
Keyword(s):  
Mathematical Model ◽  
Programming Language ◽  
Methodological Approach ◽  
Aircraft Structures ◽  
Interactive Programming ◽  
Geometry Modeling ◽  
Curves And Surfaces ◽  
Cad Cam ◽  
The Mathematical Model ◽  
Selection Of

The paper presents the methodological approach to development of curves by selection of driving parameters with the application of the method to designing and reproduction of aircraft surfaces on the examples of both newly designed aircrafts and the ones that are already in service. The major assumptions are outlined that are necessary to develop the mathematical model of driving curves and surfaces, these assumptions served as the basis to draw up the relevant algorithms and to convert them to routines of the GRIP (Graphics Interactive Programming) language that is a part of the CAD/CAM/CAE Unigraphics system. These algorithms include the newly developed tool dedicated to design aircraft components and provided with inputs to the multi-criteria synthesis of the aerodynamic profiles of aircrafts. The study comprises also the assumptions to the newly developed algorithms dedicated to modelling of components incorporated into aircraft structures, these algorithms have been successfully implemented by the author.

scholarly journals Avaliação de modelos matemáticos para estimativa da erosividade da chuva na região de São Mateus-ES

2016 ◽  
Vol 11 (3) ◽  
pp. 98
Author(s):  
Dione Pereira Cardoso ◽  
Fábio Ribeiro Pires ◽  
Robson Bonomo
Keyword(s):  
Mathematical Model ◽  
Mathematical Models ◽  
Holy Spirit ◽  
Climatic Conditions ◽  
The State ◽  
Rainfall Erosivity ◽  
Climatological Station ◽  
Average Rainfall ◽  
The Holy Spirit ◽  
The Mathematical Model

<p>Objetivou-se estimar a erosividade da chuva, mediante seis modelos matemáticos, de regressão linear avaliando entre estes, qual é mais indicado para as condições climáticas da região de São Mateus-ES. Os dados pluviométricos foram obtidos junto à Agência Nacional das Águas-ANA, sendo de 1947 a 2014 para Itauninhas, de 1971 a 2014 para Barra Nova, de 1981 a 2014 para São João da Cachoeira Grande e de 1993 a 2014 para Boca da Vala. Para estimar a erosividade da chuva, a partir da precipitação anual e do coeficiente de chuva, foram utilizadas diferentes equações utilizadas em outros estados com aplicação ao estado do Espírito Santo ou ajustadas para o próprio estado. Para os modelos matemáticos (II) e (I), os valores médios foram de 6.541,2 MJ ha<sup>-1</sup> mm h<sup>-1</sup> ano<sup>-1</sup> a 936,357 MJ ha<sup>-1</sup> mm h<sup>-1</sup> ano<sup>-1</sup> (Itauninhas), de 6.995,855 MJ ha<sup>-1</sup> mm h<sup>-1</sup> ano<sup>-1</sup> a 1.420,296 MJ ha<sup>-1</sup> mm h<sup>-1</sup> ano<sup>-1</sup> (Barra Nova), de 6.297,272 MJ ha<sup>-1</sup> mm h<sup>-1</sup> ano<sup>-1</sup> a 1.014,815 MJ ha<sup>-1</sup> mm h<sup>-1</sup> ano<sup>-1</sup> (São João da Cachoeira Grande) e de 5.427,659 MJ ha<sup>-1</sup> mm h<sup>-1</sup> ano<sup>-1</sup> a 1.626,489 MJ ha<sup>-1</sup> mm h<sup>-1</sup> ano<sup>-1</sup> (Boca da Vala). Para os municípios de Barra Nova e Boca da Vala a erosividade da chuva foi estimada pela equação EI<sub>30</sub> = 6,4492*pi – 391,63 com distribuição leptocúrtica. Para as outras duas localidades, a distribuição foi platicúrtica. A estação climatológica com o maior valor de erosividade média da chuva foi Barra Nova, enquanto Boca da Vala apresentou a menor erosividade, considerando apenas a estimativa da erosividade da chuva pelo modelo matemático II. Os maiores e menores valores de erosividade da chuva foram obtidos com os modelos matemáticos I e II. Para estimar a erosividade da chuva, nas condições climáticos da região de São Mateus-ES, o modelo matemático mais adequado é o II.</p><p align="center"><strong><em>Evaluation of mathematical models to estimate rainfall erosivity in the region of São Mateus-ES</em></strong></p><p><strong>Abstract</strong><strong>: </strong>This study aimed to estimate the rainfall erosivity by six mathematical models, linear regression, and evaluate these, which is more suitable for the climatic conditions of São Mateus-ES region. The rainfall data were obtained from the National Water Agency-ANA, and 1947-2014 for Itauninhas, 1971-2014 to Barra Nova, 1981-2014 for São João da Cachoeira Grande and 1993-2014 for Boca da Vala. To estimate the rainfall erosivity, from the annual precipitation and rainfall coefficient were used different equations used in other states with application to the state of the Holy Spirit or adjusted to the state itself. For mathematical models (II) and (I), the average values were 6541.2 MJ ha<sup>-1</sup> mm h<sup>-1</sup> year<sup>-1</sup> to 936.357 MJ ha<sup>-1</sup> mm h<sup>-1</sup> year<sup>-1</sup> (Itauninhas) of 6995.855 MJ mm ha<sup>-1</sup> h<sup>-1</sup> year<sup>-1</sup> to 1420.296 MJ ha<sup>-1</sup> mm h<sup>-1</sup> year<sup>-1</sup> (Barra nova), to 6297.272 MJ ha<sup>-1</sup> mm h<sup>-1</sup> year<sup>-1</sup> and 1014.815 MJ mm ha<sup>-1</sup> h<sup>-1</sup> year<sup>-1</sup> (São João da Cachoeira Grande) and 5427.659 MJ ha<sup>-1</sup> mm h<sup>-1</sup> year<sup>-1</sup> to 1626.489 MJ ha<sup>-1</sup> mm h<sup>-1</sup> year<sup>-1</sup> (Boca da Vala). For the municipalities of Barra Nova and Boca da Vala the rainfall erosivity was estimated by EI<sub>30</sub> = 6.4492*pi - 391.63 with leptokurtic distribution. For the other two locations, the distribution was platykurtic. The climatological station with the highest amount of average rainfall erosivity was Barra Nova, while Boca da Vala had the lowest erosivity, considering only an estimated rainfall erosivity by the mathematical model II. The highest and lowest values erosivity of the rain were obtained with the mathematical models I and II. To estimate the rainfall erosivity in the climatic conditions of São Mateus-ES region, the most suitable mathematical model is II.</p>

scholarly journals Optimization of the selection of sections in the distribution line considering reactive power compensation

2020 ◽  
Vol 216 ◽  
pp. 01070
Author(s):  
Ivan Bandurin ◽  
Vladimir Ivanov ◽  
Igor Kozyrev ◽  
Vladimir Korobov ◽  
Alexey Khaimin ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Power Consumption ◽  
Reactive Power ◽  
Reactive Power Compensation ◽  
End Users ◽  
Active Power ◽  
Distribution Line ◽  
The Mathematical Model ◽  
Selection Of

Today, the increase in reactive power consumption far exceeds the increase in active power consumption. Due to the increasing demands of the end-users for the quality of the supply of electricity, the problem of joint selection of rational sections and places of installation of reactive power compensation in the distribution line becomes relevant. A mathematical model and algorithm allowing such a choice are proposed. The mathematical model can be used both in the design of new lines and in the reconstruction of existing lines. An example is given.

On waiting times to populate an environment and a question of statistical inference

1999 ◽  
Vol 36 (1) ◽  
pp. 261-267 ◽  
Author(s):  
F. Thomas Bruss ◽  
M. Slavtchova-Bojkova
Keyword(s):  
Mathematical Model ◽  
Statistical Inference ◽  
Waiting Time ◽  
Branching Process ◽  
Waiting Times ◽  
The State ◽  
Higher Moments ◽  
Total Progeny ◽  
Cycle Lengths ◽  
The Mathematical Model

The mathematical model we consider here is the classical Bienaymé–Galton–Watson branching process modified with immigration in the state zero.We study properties of the waiting time to explosion of the supercritical modified process, i.e. that time until all beginning cycles which die out have disappeared. We then derive the expected total progeny of a cycle and show how higher moments can be computed. With a view to applications the main goal is to show that any statistical inference from observed cycle lengths or estimates of total progeny on the fertility rate of the process must be treated with care. As an example we discuss population experiments with trout.

Quantitative Analysis Of Performance Of A Hydrogen Peroxide–Based Glucose Biosensor

2012 ◽  
Author(s):  
Azila Abd. Aziz
Keyword(s):  
Mathematical Model ◽  
Polyvinyl Alcohol ◽  
Gold Electrode ◽  
Immobilized Enzyme ◽  
Glucose Biosensor ◽  
Internal Layer ◽  
External Layer ◽  
The Mathematical Model ◽  
Analysis Of Performance ◽  
Enzyme Layer

Satu biosensor glukosa separa telah dibina menggunakan satu lapisan dalaman yang selektif, satu lapisan enzim dan satu elektrod emas. Kedua–dua lapisan membran tersebut adalah berasaskan polivinil alcohol (PVA) tersambung silang. Prestasi biosensor glukosa tersebut telah dinilai terutamanya prestasi terhadap gangguan asetaminofen, yang merupakan molekul tak ionik. Sensitiviti enzim tersekat gerak tersebut terhadap glukosa adalah tinggi tetapi ianya tidak mencukupi untuk melawan gangguan asetaminofen. Kehadiran lapisan dalaman PVA yang hanya sederhana selektif tidak menyebabkan kesan yang ketara pada gangguan. Satu model matematik kemudiannya digunakan untuk menganalisis prestasi biosensor yang lengkap. Satu lapisan luar ditambah secara simulasi kepada dua lapisan terdahulu. Model matematik tersebut meramalkan bahawa penambahan satu lapisan luar yang mempunyai kebolehtelapan yang rendah terhadap bahan larut mampu memperbaiki prestasi sensor. Kata kunci: Biosensor glukosa; model matematik; asetaminofen; gangguan elektrokimia; polivinil alkohol tersambung silang A partial glucose biosensor was constructed using a selective internal layer, an enzyme layer and a gold electrode. Both membrane layers are based on cross–linked polyvinyl alcohol (PVA). The performance of the partial glucose biosensor was analyzed particularly with respect to the interfering effects of acetaminophen, a non–ionic molecule. The sensitivity of the immobilized enzyme to glucose was high but it was not high enough to counter acetaminophen interference. The addition of the moderately selective PVA internal layer did not seem to have a significant effect on interference. A mathematical model was then used to analyze the performance of a completed biosensor. A simulated external layer was added to the two layers. The mathematical model predicted that the addition of an external layer with lowered permeability to solutes could improve the performance of the sensor. Key words: Glucose biosensor; mathematical modeling; acetaminophen; electrochemical interference; cross-linked polyvinyl alcohol

Development of methodology bases of the network mathematical models transportation and technological flows timber.

2017 ◽  
Vol 6 (2) ◽  
pp. 63-68
Author(s):  
Бурмистрова ◽  
Olga Burmistrova ◽  
Пильник ◽  
Yuliya Pilnik
Keyword(s):  
Mathematical Model ◽  
Quality Management ◽  
Mathematical Models ◽  
Transport Systems ◽  
Object Model ◽  
Optimal Solutions ◽  
Mechanical Modeling ◽  
High Quality ◽  
The Mathematical Model ◽  
Selection Of

The mathematical-mechanical modeling - is the study of complex transport systems (processes) through on-the structure and the research object model. Mathematical models allow a pre-selection of optimal solutions according to specific criteria. These scientifically based and are designed to help leaders in the development, validation and acceptance of efficient, high-quality management decisions in the forest complex. But it must be a pony-mother, that any solution obtained by calculating the mathematical model, optimal only for one or more criteria.

Selection of Method for Underwater Robot Control

2010 ◽  
Vol 164 ◽  
pp. 149-154 ◽  
Author(s):  
Piotr Szymak
Keyword(s):  
Mathematical Model ◽  
Control System ◽  
Numerical Analysis ◽  
Automatic Control ◽  
Robot Control ◽  
Underwater Vehicle ◽  
Underwater Robot ◽  
Underwater Robots ◽  
The Mathematical Model ◽  
Selection Of

Automatic control of motion of underwater robots, particularly along desired trajectory, requires application of proper controllers taking into account dynamics of the underwater robot and features of the marine environment. In the paper the mathematical model of an underwater vehicle [2] and the architecture of designed control system [4] have been presented. Moreover, selected results of numerical analysis in the form of comparison of different course controllers have been provided.

Optimal Method of Selection of Water Lubricated Rubber Bearing Materials

2016 ◽  
Vol 705 ◽  
pp. 3-7 ◽  
Author(s):  
Zhao Chen ◽  
Yu Guang Li ◽  
She Sheng Zhang
Keyword(s):  
Mathematical Model ◽  
Material Properties ◽  
Operational Research ◽  
Optimal Selection ◽  
Optimal Method ◽  
Maximum Value ◽  
Rubber Bearing ◽  
Bearing Materials ◽  
The Mathematical Model ◽  
Selection Of

Excellent material can improve the function of water lubricated stern bearing. According to the material properties and the theory of operational research, the mathematical model of the optimal selection material of water lubricated rubber bearing is established. The condition of selecting materials is discussed. The expression of the maximum value is obtained by using software. The influence of material properties on the objective function is discussed.

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