scholarly journals Resources for structural optimization of gas-hydrodynamic measuring transducers

2021 ◽  
Vol 7 (2) ◽  
pp. 136-143
Author(s):  
Yevhen Pistun ◽  
◽  
Halyna Matiko ◽  
Hanna Krykh
Keyword(s):  
Graph Theory ◽  
Set Theory ◽  
Parametric Optimization ◽  
Measuring Transducer ◽  
Mechanical Parameters ◽  
Mathematical Apparatus ◽  
Structural Synthesis ◽  
Specific Parameter ◽  
Supply Mode ◽  
Diagram Type

The paper presents the analysis of the resources of structural and parametric optimization of gas-hydrodynamic measuring transducers of physical and mechanical parameters of fluids. Resources such as the number of throttles and their arrangement in the diagram, type of throttle elements, measuring channels with a certain type of output signal, the supply mode of the measuring transducer can be integrated into the design process of the measuring transducer of a specific parameter. A mathematical apparatus based on set theory and combinatorial analysis is proposed for synthesizing the possible structures of throttle diagrams, graph theory – for forming a set of measuring channels. The authors have given examples demonstrating the possibilities of building different diagrams of measuring transducers using the resources for structural synthesis. The proposed resources are the means of structural and parametric optimization for synthesizing the gas-hydrodynamic measuring transducers with optimal characteristics.

scholarly journals STRUCTURAL AND PARAMETRIC OPTIMIZATION OF GAS-HYDRODYNAMIC MEASURING TRANSDUCERS OF PHYSICAL AND MECHANICAL PARAMETERS OF FLUIDS

2021 ◽  
pp. 23-31
Author(s):  
Ye. P. Pistun ◽  
H. F. Matiko ◽  
H. B. Krykh
Keyword(s):  
Parametric Optimization ◽  
Measuring Transducer ◽  
Optimization Methods ◽  
Optimization Method ◽  
Mechanical Parameters ◽  
Structural Synthesis ◽  
Optimization Parameters ◽  
Design Characteristics ◽  
Supply Mode ◽  
The Mathematical Model

The article is devoted to improving the methods for building throttle diagrams of gas-hydrodynamic measuring transducers of physical and mechanical parameters of fluids. The authors reviewed modern throttle transducers of various parameters, built on different diagrams, with different numbers and types of throttle elements, with different output signals. We established that the goodness of the measuring transducer is determined both by the structural diagram and the design characteristics of the throttle elements of a specific measuring diagram. The article proposes using structural synthesis with parametric optimization to achieve the specified characteristics of the gas-hydrodynamic transducers. The aim is to develop an effective method for building throttle diagrams of gas-hydrodynamic measuring transducers of physical and mechanical parameters of fluids using structural optimization of diagrams and to evaluate each dia-gram using parametric optimization methods with the appropriate criterion that quantifies the goodness of the measur-ing transducer. To achieve this goal, the authors analyzed the criteria and resources of structural and parametric optimization of gas-hydrodynamic transducers. In particular, the following resources of structural synthesis of measuring transducers’ dia-grams are analyzed: diagram order and throttle arrangement, type of throttles, output signals, supply mode of the transducer. Approaches to parametric optimization of throttle diagrams are offered: based on the mathematical model, one defines the objective function, forms restrictions on variable and fixed values, substantiates optimization parameters, chooses the optimization method. As a result of the research, the authors developed a technique for structural and parametric optimization of gas-hydrodynamic measuring transducers, making it possible to synthesize throttle diagrams and build mathematical models of transducers of specific parameters of the fluid with optimal characteristics.

Modeling throttle bridge measuring transducers of physical-mechanical parameters of Newtonian fluids

2021 ◽  
Vol 8 (3) ◽  
pp. 515-525
Author(s):  
Ye. P. Pistun ◽  
◽  
H. F. Matiko ◽  
H. B. Krykh ◽  
F. D. Matiko ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Newtonian Fluid ◽  
Kinematic Viscosity ◽  
Parametric Optimization ◽  
Measuring Transducer ◽  
Jet Fuel ◽  
Newtonian Fluids ◽  
Mechanical Parameters

The paper proposes a measuring transducer of the physical-mechanical parameters of a Newtonian fluid based on a throttle bridge measuring diagram with identical turbulent and laminar throttles in opposite arms. A mathematical model is built for the throttle bridge transducer of the combined parameter, which depends on the kinematic viscosity and density of the fluid. The problem of parametric optimization of the proposed measuring transducer is formulated and analytically solved in the paper. The authors calculated the transform function of the measuring transducer of the combined parameter of jet fuel.

Mechanical Structural Interference Detection for Dedicated Hybrid Transmissions

2021 ◽  
Vol 143 (9) ◽  
Author(s):  
Hanqiao Sun ◽  
Xiangyang Xu ◽  
Yanfang Liu ◽  
Peng Dong ◽  
Shuhan Wang ◽  
...  
Keyword(s):  
Graph Theory ◽  
Graph Model ◽  
Planetary Gear ◽  
Modeling Method ◽  
Structural Synthesis ◽  
Original Graph ◽  
Power Sources ◽  
Detection Approach ◽  
Hybrid Transmission ◽  
Planetary Gear System

Abstract Planetary gear set (PGS) has been one of the best components to constitute a transmission configuration, including the dedicated hybrid transmission (DHT). Using different synthesis approaches, the DHT configurations can be obtained through algorithms. However, different synthesis results correspond to different connection states of the planetary gear system. There are a certain number of results that violate the motion requirements of the mechanical principal need to be detected and removed. Therefore, this paper presents a novel modeling method to systematically remove the interference structures, with graph theory in structural synthesis. Based on the original graph theory, this paper proposes an equivalent replacement modeling method to convert the motor graph model into a brake-like graph model. Based on the conversion, avoid the appearance of the hanging points in the graph model. By applying the proposed approach, a DHT structure proves the feasibility of the method. The proposed detection approach can systematically detect all the PGS-based transmission with multi-PGSs, multi-shifting elements, and multi-power sources.

scholarly journals Application of Linear and Nonlinear Graphs in Structural Synthesis of Kinematic Chains

1973 ◽  
Vol 95 (2) ◽  
pp. 525-532 ◽  
Author(s):  
M. Huang ◽  
A. H. Soni
Keyword(s):  
Mathematical Model ◽  
Graph Theory ◽  
Structural Analysis ◽  
Three Dimensional ◽  
Structural Synthesis ◽  
Kinematic Chains ◽  
Piston Cylinder ◽  
General Constraints ◽  
Analysis And Synthesis ◽  
Linear And Nonlinear

Using graph theory and Polya’s theory of counting, the present paper performs structural synthesis and analysis of planar and three-dimensional kinematic chains. The Section 2 of the paper develops a mathematical model that permits one to perform structural analysis and synthesis of planar kinematic chains with kinematic elements such as revolute pairs, cam pairs, springs, belt-pulley, piston-cylinder, and gears. The theory developed is applied to enumerate eight-link kinematic chains with these kinematic elements. The Section 3 of the paper develops a mathematical model that permits one to perform structural analysis and synthesis of multi-loop spatial kinematic chains with higher and lower kinematic pairs. The theory developed is applied to enumerate all possible two-loop kinematic chains with or without general constraints.

Optimizational Model of Transit Line Chosen

2012 ◽  
Vol 178-181 ◽  
pp. 1887-1890
Author(s):  
Wen Bin Liu
Keyword(s):  
Graph Theory ◽  
Computational Model ◽  
Set Theory ◽  
Search Algorithm ◽  
Timing Function ◽  
Left And Right ◽  
Walking Time

In the paper,using graph theory,set theory and iteration,we give gradual search algorithm with number of transfer acting as parameter. Through dealing with data of traffic line, line is united in algorithm,and computational model is simplified. Through optimization of left and right in circuit site and same line repeating site, the shortest timing function in circuit is realized. We consider the subway and walking time of all sites furtherly.

scholarly journals THE PROBLEM OF OBJECTIVE ASSESSMENT OF THE STUDENT’S KNOWLEDGE

2021 ◽  
Vol 7 (73) (1) ◽  
pp. 77-85
Author(s):  
N. V. Apatova ◽  
A. I. Gaponov
Keyword(s):  
Fuzzy Logic ◽  
Knowledge Acquisition ◽  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Educational Material ◽  
Specific Situation ◽  
Mathematical Apparatus ◽  
Subjective Factor ◽  
Hierarchy Analysis

In the modern pedagogical literature a large number of works are devoted to the issue of evaluating students mastered knowledge. Ensuring the quality of diagnostics of the level of knowledge acquisition by students of educational organizations is based on an adequate, reasonable, acceptable and accessible mathematical apparatus. The adequacy and validity of the mathematical apparatus allows you to significantly reduce the influence of the subjective factor on the assessment of knowledge acquisition and minimize objections to its application. On the other hand, acceptability makes it possible to use a specific situation under consideration as a diagnosis, taking into account only its inherent nuances. Accessibility also means the ability to use the proposed mathematical algorithm by teachers who have the necessary minimum of elements of the proposed mathematical apparatus. The article considers the possibility of determining the level of development of the studied topic by students on the basis of five factors of knowledge acquisition: 1. Understanding; 2. Recognition; 3.Reproduction; 4. Application; 5. Creativity. In this case, the calculations are performed by using a simplified method of hierarchy analysis and fuzzy set theory in order to reduce the subjectivity inherent in the rating system of evaluation, the use of elements of the hierarchy analysis method and fuzzy logic is proposed. The fuzzy set theory algorithm is implemented using the fuzzy Logic Toolbox application package of the MATLAB software environment. Using the method of hierarchy analysis is to aggregate scores based on the application of a matrix of paired comparisons. The synthesis of these methods allows us to obtain a fairly effective comparative assessment of students development of educational material. On the basis of the considered methodology for evaluating students assimilation of educational material, it is suggested that it is possible to reduce the influence of a subjective factor to a minimum.

scholarly journals Soft covering based rough graphs and corresponding decision making

2019 ◽  
Vol 17 (1) ◽  
pp. 423-438
Author(s):  
Choonkil Park ◽  
Nasir Shah ◽  
Noor Rehman ◽  
Abbas Ali ◽  
Muhammad Irfan Ali ◽  
...  
Keyword(s):  
Decision Making ◽  
Graph Theory ◽  
Set Theory ◽  
Rough Set ◽  
Rough Set Theory ◽  
Soft Set ◽  
Basic Properties

Abstract Soft set theory and rough set theory are two new tools to discuss uncertainty. Graph theory is a nice way to depict certain information. Particularly soft graphs serve the purpose beautifully. In order to discuss uncertainty in soft graphs, some new types of graphs called soft covering based rough graphs are introduced. Several basic properties of these newly defined graphs are explored. Applications of soft covering based rough graphs in decision making can be very fruitful. In this regard an algorithm has been proposed.

scholarly journals Disjoint Genus-0 Surfaces in Extremal Graph Theory and Set Theory Lead To a Novel Topological Theorem

2021 ◽  
Author(s):  
Arturo Tozzi
Keyword(s):  
Graph Theory ◽  
Set Theory ◽  
Extremal Graph Theory ◽  
Topological Manifold ◽  
Tree Graph ◽  
Extremal Set Theory ◽  
Extremal Set ◽  
Cycle Graph ◽  
Topological Theorem ◽  
Theory Lead

When an edge is removed, a cycle graph Cn becomes a n-1 tree graph. This observation from extremal set theory leads us to the realm of set theory, in which a topological manifold of genus-1 turns out to be of genus-0. Starting from these premises, we prove a theorem suggesting that a manifold with disjoint points must be of genus-0, while a manifold of genus-1 cannot encompass disjoint points.

scholarly journals Comparison of Two Network-Theory-Based Methods for detecting Functional Regions

2020 ◽  
Vol 11 (2) ◽  
pp. 21-35
Author(s):  
Samo Drobne ◽  
Alberto Garre ◽  
Eloy Hontoria ◽  
Miha Konjar
Keyword(s):  
Graph Theory ◽  
Set Theory ◽  
Fuzzy Set Theory ◽  
Network Theory ◽  
Urban Region ◽  
Functional Regions ◽  
Important Basis ◽  
Home Region

AbstractBackground: Functional regions are abstract, uniformly defined territorial units that form an important basis for many development strategies of a country or a region.Objectives: This study analyses the application of network theory to the detection of such regions.Methods/Approach: Functional regions are analysed using two methods based on the graph theory: the Walktrap algorithm and the chain approach. The quality of the two regionalization methods is analysed using the fuzzy set theory with the revised method. Slovenia was used as a case study.Results: The Walktrap algorithm generated eight functional regions; seven of them corresponded to those identified in previous studies. The only difference occurred in the northwestern mountainous part of Slovenia. The chain approach led to similar results, although it resulted in a huge functional urban region of the capital Ljubljana.Conclusions: The results show that the Walktrap algorithm calculates regions that are more closed, where more workers find work in the home region, than the chain approach.

scholarly journals Matroid And Its Outlines

2021 ◽  
Author(s):  
Henry Garrett
Keyword(s):  
Graph Theory ◽  
Set Theory ◽  
Independent Set ◽  
Minimal Set ◽  
Fundamental Parameters ◽  
As If

In this article, there's an effort to make sense about the new versions of matroid. I believe that there's new idea on the background of. matroid. Two styles of matroid is defined in the background of fixed graphs and after that the attributes of these new notion on the graph and its parameters have been studied. The focus of this article is on the version of matroid which has the basis on the cycles as if there's gentle discussion on the results which are based on the set of independent vertices as matroid-x. The relation amid fundamental parameters and specific set like independent set and minimal set in the terminology of graph theory have been considered. Matroid is the word to use in the study on the parameters of graph theory as if set theory and its terminology are also recorded. The terms of word in various terminology have been relatively used. There are open ways to use hypergraphs or some serious relations amid these two types.

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