scholarly journals Разработка и исследование математической модели проектирования патрульного катера для Союза Мьянма

2020 ◽  
Author(s):  
A.I. Gaikovich ◽  
N.V. Nikitin ◽  
S. Pyae
Keyword(s):  
Mathematical Model ◽  
Search Algorithm ◽  
Load Capacity ◽  
Random Search ◽  
Design Model ◽  
Modular Architecture ◽  
Efficiency Criterion ◽  
Design Problems ◽  
The Mathematical Model ◽  
Mathematical Design

В статье описывается математические модель проектирования для обоснования концепции патрульного катера, предназначенного для Союза Мьянма. Основные кораблестроительные элементы определяются как результаты решения задачи математического программирования (оптимизации). В состав математической модели входят расчеты нагрузки, вместимости, остойчивости, ходкости, запаса плавучести. Критерием эффективности взято отношение вероятности перехвата нарушителя к приведенным годовым затратам. Для решения оптимизационной задачи используется алгоритм случайного поиска. Для реализации разработанной математической модели проектирования создан программный комплекс модульной архитектуры в оболочке DELPHI. В рамках исследования математической модели оценивалась её адекватность, чувствительность и устойчивость. Результаты исследования оказались удовлетворительными, что доказывает возможность применения разработанной математической модели для решения проектных задач на начальных стадиях разработки проекта патрульного катера.The article describes a mathematical design model to substantiate the concept of a patrol boat intended for the Union of Myanmar. The main shipbuilding elements are defined as the results of solving the problem of mathematical programming (optimization). The mathematical model includes calculations of the load, capacity, stability, propulsion, stock of buoyancy. The efficiency criterion is the ratio of the probability of interception of the intruder to the given annual costs. To solve the optimization problem, a random search algorithm is used. To implement the developed mathematical design model, a software package of modular architecture in the DELPHI shell was created. As part of the study of the mathematical model, its adequacy, sensitivity, and stability were evaluated. The research results were satisfactory, which proves the possibility of using the developed mathematical model to solve design problems in the initial stages of the design of a patrol boat project.

Pruning operator for minimum deck wind in carrier aircraft launch

2019 ◽  
Vol 234 (3) ◽  
pp. 655-664
Author(s):  
Zeyang Zhou ◽  
Jun Huang ◽  
Mingxu Yi
Keyword(s):  
Mathematical Model ◽  
Search Algorithm ◽  
Random Search ◽  
Optimal Solution ◽  
Flight Safety ◽  
Problem Statement ◽  
Linear Problems ◽  
Random Search Algorithm ◽  
The Mathematical Model ◽  
Wind Resources

Launch resources and flight safety are important for carrier-based aircraft to takeoff. Aimed at making full use of marine wind resources, a pruning operator added to linear random search algorithm is developed to solve the minimum deck wind for carrier aircraft launch. On the basis of problem statement, the catapult safety criteria are quantified as the boundary condition of the critical solution. Then the mathematical model is established for the algorithm including pruning schematic. The influence of deck wind on aircraft catapult launch is analyzed. With the algorithm proceeding and the feedback results of aircraft catapult launch simulation, the optimal solution of the minimum deck wind is determined in a few simulation times. The main contribution of this research is the development of the pruning operator to greatly shorten the search times under permissible error for the discrete linear problems. And the minimum deck wind is solved in full takeoff weight range due to combining linear random search algorithm and simulation.

NUMERICAL AND PROGRAM IMPLEMENTATION OF A ONE-DIMENSIONAL MATHEMATICAL MODEL OF HYDRAULIC FRACTURING

2021 ◽  
Vol 7 (1) ◽  
pp. 126-145
Author(s):  
Alexey S. SHLYAPKIN ◽  
Alexey V. TATOSOV
Keyword(s):  
Mathematical Model ◽  
Hydraulic Fracturing ◽  
Program Implementation ◽  
Software Package ◽  
Import Substitution ◽  
Point Of View ◽  
Growth Potential ◽  
Design Problems ◽  
Software Market ◽  
The Mathematical Model

At present, an active policy of import substitution is being pursued, dictated by the imposed international sanctions, which creates a need for finding optimal engineering solutions, in particular, in the field of creating Russian software. In the study and design of hydraulic fracturing, they often rely on the results of modeling in specialized simulators. The appearance of the Russian products on the software market, surely, sets the correct vector of development; however, some aspects are not implemented in the existing mathematical models. The authors of this article present a model that allows considering in detail the process of movement of proppant particles in a hydraulic fracture. The chosen direction is important from the point of view of calculating the fracture cavity and refining its productivity, since the behavior of the particles has a significant effect on both the growth potential of the crack and its shape. The research methodology includes a theoretical justification of the mathematical model presented by the authors in their previous works; a description of the basic principles of selecting and constructing a numerical calculation scheme and creating a software package. The main methods of research are the methods of mathematical modeling, formed from practical problems on the estimation of geometric parameters of the crack, including the areas of continuum mechanics and fracture of solids, underground hydrodynamics. The proposed and implemented numerically mathematical model forms the basis of the authors’ software package, which allows solving the main design problems when performing hydraulic fracturing operations.

The Design of Fluid Power Systems Using Analogue Computers

1969 ◽  
Vol 2 (4) ◽  
pp. T47-T50
Author(s):  
C. R. Burrows ◽  
C. R. Webb
Keyword(s):  
Mathematical Model ◽  
Power Systems ◽  
Engineering Design ◽  
Fluid Power ◽  
Design Problems ◽  
Engineering Design Problems ◽  
Fluid Power Systems ◽  
The Mathematical Model

Two important areas in design are formulation and solution of the mathematical model; this paper deals mainly with the latter problem and is primarily concerned with the application of analogue computers to the design of fluid power systems, although much of the work is applicable to general engineering design problems. Before reviewing some typical applications it is first necessary to consider the benefits to be obtained from the use of computers.

scholarly journals Research Results on Influence of Hydraulic Hammer Design Parameters

2021 ◽  
Vol 346 ◽  
pp. 03081
Author(s):  
Irina Teterin ◽  
Igor Ugrumov ◽  
Ivan Teterin ◽  
Andrey Korneev
Keyword(s):  
Mathematical Model ◽  
Control Unit ◽  
Type Structure ◽  
Design Model ◽  
Theoretical Research ◽  
Design Parameters ◽  
Theoretical Studies ◽  
Main Design ◽  
Hydraulic Hammer ◽  
The Mathematical Model

The article presents the results of the theoretical research on the influence of the design parameters on the output characterictics of a hydraulic hammer. The hydraulic hammer under the study has a hydraulic percussive mechanism of a permanent pressure-type structure with a spool free control unit. A design model of a hydraulic percussive mechanism with a spool free control unit has been developed. The mathematical model of the hydraulic percussive mechanism of a permanent pressure-type structure with a spool free control unit is presented. The oscillogram resulting from the theoretical studies, which defines the operation of the hydraulic percussive mechanism, is presented. A range of the rational zones for selecting the main design parameters of the hydraulic percussive mechnism is obtained.

scholarly journals DEVELOPING EXPANDED POWELL’S ALGORITHM TO IDENTIFY THE MATHEMATICAL MODEL PARAMETERS FOR TRANSESTERIFICATION OF FISH FAT INTO BIODIESEL FUEL

2011 ◽  
Vol 14 (3) ◽  
pp. 34-48
Author(s):  
Hai Xuan Le ◽  
Anh Huynh Tuyet Le
Keyword(s):  
Mathematical Model ◽  
Random Search ◽  
Equation System ◽  
Optimal Operation ◽  
Descent Method ◽  
Steepest Descent Method ◽  
Biodiesel Fuel ◽  
Model Parameters ◽  
Operation Conditions ◽  
The Mathematical Model

By employing the system approach methodology, this research showed the expansion of Powell’s algorithm to solve the identification of kinetic parameters in the differential equation system which describes the transesterification of fish fat into biodiesel fuel. The expanded Powell’s method is developed on the basis of the algorithm that combines Taxi-Cab method with random search method and gradient method (steepest descent method). The obtained results allow us to simulate and optimize the biodiesel fuel production in order to assess the influence of technological factors on the effect of process and to determine the optimal operation conditions. The expanded Powell’s algorithm can also be advantageously applied to simulation or optimizzation in the cases when the mathematical model of the research object contains several parameters which must be identified.

The Optimal Design of Multi-Level Planetary Gear Reducer

2010 ◽  
Vol 139-141 ◽  
pp. 1308-1311 ◽  
Author(s):  
Jing Bing Wu ◽  
Lun Shu ◽  
He Ming Cheng
Keyword(s):  
Mathematical Model ◽  
Optimal Design ◽  
Load Capacity ◽  
Planetary Gear ◽  
Maximum Load ◽  
Practical Design ◽  
Optimal Function ◽  
Multi Level ◽  
The Mathematical Model ◽  
Center Distance

Based on the analysis and study of the composite reducer, the allocation of transmission ratio is considered to be the key to optimal design of multi-level planetary gear reducer. In view of so many discussion and study of the minimum volume as the optimization objective existed, this paper regards the maximum load capacity as the optimal goal on condition that the center distance or size is given, and then establishes the optimal mathematical model. The related constraints are given according to the theoretical knowledge and practical design experience. In this paper, an optimal function procedure that based on genetic is used to optimize the mathematical model. The satisfied result has been worked out combined with the practical example. Compared to the original program, the load capacity of 17.8% is improved. In addition, some references are provided to the optimal design of planetary gear reducer.

scholarly journals A FJSSP Method Based on Dynamic Multi-Objective Squirrel Search Algorithm

2021 ◽  
Vol 2021 ◽  
pp. 1-19
Author(s):  
Yanjiao Wang ◽  
Jieru Han
Keyword(s):  
Mathematical Model ◽  
Job Shop ◽  
Job Shop Scheduling ◽  
Search Algorithm ◽  
Flexible Job Shop ◽  
Flexible Job Shop Scheduling ◽  
Job Shop Scheduling Problem ◽  
Shop Scheduling ◽  
Multi Objective ◽  
The Mathematical Model

This paper comprehensively analyzes the characteristics of flexible job shop scheduling problem (FJSSP), takes the dynamic factors in the actual scheduling process such as the arrival and departure of jobs, the breakdown and recovery of machines into account at the same time, and establishes a new dynamic multi-objective mathematical model. Take the Squirrel Search Algorithm (SSA) as the core evolution strategy, and combine the multi-objective framework and the dynamic processing technology to solve the established mathematical model. Experimental results show that the mathematical model proposed in this paper can solve the flexible job shop scheduling problem effectively. Compared with other mathematical models, the mathematical model established in this paper can keep better balance between the efficiency and stability.

scholarly journals Research of a mathematical model for designing a barge-towing complex for the Republic of the Union of Myanmar

2021 ◽  
pp. 82-87
Author(s):  
Т.А. Апалько ◽  
М.Х. Най
Keyword(s):  
Mathematical Model ◽  
Random Search ◽  
Computer Experiment ◽  
Functional Constraints ◽  
Criterion Function ◽  
Complex Technical System ◽  
The Republic ◽  
The Mathematical Model ◽  
Inland Water Transport ◽  
Program Modules

В статье описана математическая модель проектирования барже-буксирного комплекса с учётом особенности эксплуатации в условиях Республики Союз Мьянма. В статье исследуются особенности ББК как объекта оптимизации, описана математическая модель ББК, отображается его как сложную техническую систему. В рамках модели приведены математические зависимости и алгоритмы для определения элементов теоретического чертежа, мощности главных двигателей, для решения некоторых вопросов общего расположения с учетом расстояния главных водонепроницаемых переборок корпуса, для расчета нагрузки и устойчивости. Метод комплексной оценки эффективности применения барже-буксирного комплекса на стадии технико-экономического обоснования проекта в условиях развивающихся стран, в частности в условиях Республики Союз Мьянмы. В результате работы были полностью определены параметры основных типов барже-буксировочных комплексов для перспективной системы внутреннего водного транспорта Республики Союза Мьянма. На базе методов случайного поиска создан алгоритм оптимизации элементов ББК, решающий задачу математического программирования с процедурным характером функции критерия и функциональных ограничений. Математическая модель и алгоритм оптимизации реализованы в виде программы для обеспечения компьютерного эксперимента. Программа, реализующая математическую модель проектирования ББК, состоит из отдельных программных модулей, что облегчает ее совершенствование в анализе результатов решения задачи. Создан программный комплекс с использованием языка программирования Паскаль в среде Delphi для обеспечения автоматизирования проектирования. Указанные программы могут быть использованы в исследовательском проектировании на начальных стадиях проектирования. The article describes a mathematical models for designing a barge-towing complex, taking into account the peculiarities of operation in the conditions of the Republic of the Union of Myanmar. The article examines the features of the BBK as an object of optimization, describes the mathematical model of the BBK, displays it as a complex technical system. Within the framework of the model, mathematical dependencies and algorithms are given for determining the elements of the theoretical drawing, the power of the main engines, for solving some issues of the general location, taking into account the distance of the main watertight bulkheads of the hull, for calculating the load and stability. The method of comprehensive assessment of the effectiveness of the use of the barge-tow complex at the stage of the feasibility study of the project in the conditions of developing countries, in particular in the conditions of the Republic of the Union of Myanmar. As a result of the work, the parameters of the main types of barge-towing complexes for the prospective inland water transport system of the Republic of the Union of Myanmar were fully determined. On the basis of random search methods, an algorithm for optimizing the BBK elements is created, which solves the problem of mathematical programming with the procedural nature of the criterion function and functional constraints. The mathematical model and the optimization algorithm are implemented as a program to provide a computer experiment. The program that implements the mathematical model of the design of the BBK consists of separate program modules, which facilitates its improvement in the analysis of the results of solving the problem. A software package was created using the Pascal programming language in the Delphi environment to provide design automation. These programs can be used in research design at the initial stages of design.

Quantum Harmony Search Algorithm for Assembly Sequence Planning of Design Knowledge Resources in the Cloud Manufacturing Environment

2013 ◽  
Vol 774-776 ◽  
pp. 1386-1392
Author(s):  
Lei Wang ◽  
Yu Cheng Lin ◽  
Wei Guo ◽  
Nan Zhao
Keyword(s):  
Mathematical Model ◽  
Search Algorithm ◽  
Harmony Search ◽  
Cloud Manufacturing ◽  
Harmony Search Algorithm ◽  
Design Knowledge ◽  
Assembly Sequence ◽  
Manufacturing Environment ◽  
Knowledge Resources ◽  
The Mathematical Model

Facing the condition of scattered and disorder design knowledge and insufficient innovative capacity of Small and Medium Enterprises (SMEs) in Cloud Manufacturing environment, making for the design of knowledge assembled into orderly combination of knowledge resources, this paper presents the service capacity of evaluation model of knowledge resources and programming knowledge resources in the assembly sequence the mathematical model of the planning and design to solve the model of quantum harmony search algorithm (QHS). QHS algorithm bases on the Latin hypercube (LH), and improves the global search capability through the introduction of quantum coding and quantum gate transformation. Taking mold design knowledge of SMEs resources planning issues as example, according to the mathematical model, QHS algorithm aims to solve the knowledge resources assembly sequence of the optimal design in the cost and quality constraints, and verifies the feasibility and practicality of the method. This paper has practical significance to improve the overall SMEs innovation and design capabilities and make the reuse of the design knowledge more efficiency in the Cloud Manufacturing environment.

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