scholarly journals Evaluating significance of relation between a material electroerosion resistance and electroerosive machining pulse energy

2021 ◽  
Vol 2061 (1) ◽  
pp. 012043
Author(s):  
A F Boyko ◽  
T A Blinova ◽  
E N Syusyuka
Keyword(s):  
Mathematical Model ◽  
Pulse Energy ◽  
Research Results ◽  
Direct Dependence ◽  
Scope Of Application ◽  
New Criterion

Abstract The paper presents results of research into dependence of electroerosion resistance on the energy of discharge impulses during electroerosive machining. A new criterion is proposed for evaluation of electroerosion resistance of materials. A direct dependence has been determined experimentally between the electroerosion resistance and the energy of discharge impulses. This relation is weak and close to linear. A mathematical model has been developed for this dependence. Scope of application is defined for the research results.

The Application of Statistic Inference in the SMS Package Model

2013 ◽  
Vol 380-384 ◽  
pp. 1129-1132
Author(s):  
Miao Chao Chen ◽  
Ting Zhou
Keyword(s):  
Mathematical Model ◽  
Parameter Estimation ◽  
Hypothesis Testing ◽  
Poisson Distribution ◽  
Distribution Parameter ◽  
Research Results ◽  
Distribution Parameter Estimation

Hypothesis testing is one of the most important aspects in statistic inference. In this paper, we consider the SMS package problem of hypothesis testing. Firstly, we establish a mathematical model for SMS package problem. Secondly, we use the knowledge of Poisson distribution, parameter estimation and hypothesis testing to analyze this model, and the research results have proved the validity of the method.

A Mathematical Calculation Method for Hysteresis Characteristics Analysis of Arc-Shaped Finger Seal

2020 ◽  
Author(s):  
Chun-Hua Du ◽  
Yan-Chao Zhang ◽  
Ya-Hui Cui ◽  
Shu-Na Dong ◽  
Hong-Hu Ji ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Structural Parameters ◽  
Maximum Error ◽  
Calculation Model ◽  
Correction Coefficient ◽  
Research Results ◽  
Characteristics Analysis ◽  
Leakage Characteristics ◽  
The Mathematical Model ◽  
Hysteresis Characteristics

Abstract In order to accurately predict the hysteresis characteristics of finger seal, the minimum hysteresis which can directly reflect the hysteresis of finger seal is proposed to characterize the hysteresis of finger seal. The mathematical model for calculating the minimum hysteresis of finger seal is established, the correction coefficient in the mathematical model is determined, and the mathematical model is verified by experiments. The influence of the structure and working condition parameters of finger laminates on the hysteresis characteristics is studied based on the modified calculation model, and the rule of influence is obtained in the end. Research results show that the maximum error between the leakage characteristics numerical calculation of finger seal base on modified calculation model and the experiment results is 7.64%, and the mathematical model of the minimum hysteresis is reasonable and reliable. The descending order of influence degree of structural parameters on the hysteresis characteristics of finger seal is: thickness of each finger laminate, finger repeat angle, arc radius of the finger beam arcs‘ centers, diameter of the finger base circle, width of the interstice between fingers, arc radius of finger beam. The research results provide a theoretical basis for further research on the influence of hysteresis on the finger seal leakage characteristics and the optimal design of finger seal structure.

An Interdisciplinary Workshop for Business-Idea Generation

2011 ◽  
pp. 156-182
Author(s):  
Astrid Lange
Keyword(s):  
Small Groups ◽  
Idea Generation ◽  
Interdisciplinary Teams ◽  
Target Group ◽  
Training Methods ◽  
Research Results ◽  
Organizational Settings ◽  
Scope Of Application ◽  
And Training

This chapter describes a workshop concept for small groups that aims at the qualification for creative business-idea generation in interdisciplinary teams of academics. The chapter’s aim is to provide a theory-based and application-oriented description of the workshop, including a first-hand report on implementation. The chapter will start with a description of theoretical contributions and underlying research results to illustrate the workshop’s framework. Then a description of the aims, methods and target group follows, as well as the organizational settings and training methods. Then the chapter will focus on the realization of the workshop. Finally, the workshop concept’s scope of application is discussed and summarized.

MOVEMENT OF METAL BETWEEN COOLING ROLLS

2020 ◽  
Vol 7 (4) ◽  
pp. 56-72
Author(s):  
Anastasiya Pavlenko ◽  
Keyword(s):  
Mathematical Model ◽  
Water Temperature ◽  
Molten Metal ◽  
Cooling Water ◽  
Thin Metal ◽  
Research Results ◽  
Optimal Ratio ◽  
Technological Processes ◽  
Cooling Water Temperature ◽  
Metal Sheets

The article presents the results of a study of the process of cooling a liquid molten metal on the surface of rotating rolls. A mathematical model is proposed to determine the optimal ratio of the cooling water temperature and the size of the cooling surfaces. The research results can be used to optimize technological processes associated with the production of thin metal sheets.

Influence of pressure distribution in the gap of piston-cylinder unit and properties of working fluid PES-3 on characteristics of high pressure piston-cylinder unit

2020 ◽  
pp. 38-42
Author(s):  
A. E. Aslanyan
Keyword(s):  
Mathematical Model ◽  
High Pressure ◽  
Pressure Distribution ◽  
Pressure Range ◽  
Pressure Change ◽  
Working Fluid ◽  
Research Results ◽  
Piston Cylinder ◽  
Pressure Distributions ◽  
The Mathematical Model

A simulation of the use of PES-3 liquid in a high-pressure piston-cylinder units was performed, and the parameters of the piston-cylinder units were determined in the article. The equations of the mathematical model describing the pressure change in the gap between the piston and the cylinder are given. As a result of the calculations, the pressure distributions in the gap between the piston and the cylinder are determined at under piston pressures less than 1.6 GPa. The profiles of the gaps between the deformed piston and cylinder at different under piston pressures are calculated. The dependences of the speed of lowering the piston and the effective gap on the under piston pressure at different gaps of the undeformed piston-cylinder unit are obtained. The research results can be used in the design of piston cylinder units operating on PES-3 liquid in the pressure range of 0.01–1.6 GPa.

scholarly journals A MATHEMATICAL MODEL OF TRAIN CONTINUOUS MOTION UPHILL

Transport ◽  
2008 ◽  
Vol 23 (2) ◽  
pp. 135-137 ◽  
Author(s):  
Gintautas Bureika
Keyword(s):  
Mathematical Model ◽  
Carrying Capacity ◽  
Total Resistance ◽  
Tractive Force ◽  
Distribution Law ◽  
Adhesion Coefficient ◽  
Research Results ◽  
Railway Line ◽  
Factors Influencing ◽  
The Relationship

The determination problem of adhesion coefficient of locomotives’ wheels with rails is described in this paper. The use of methods of mathematical statistics and theory of probability provides wider possibilities for determining the most acceptable (suitable) value of the adhesion coefficient. The random factors influencing on this value are analysed. The use of the adhesion coefficient values based on reliable research results could help maintain uninterrupted (continuous) traffic of heavy freight trains and increase not only the carrying capacity, but also the volume of the transported goods. The paper considers a mathematical model of steady traffic of heavy freight trains pulled by upgraded locomotives of the series 2M62M on railway line with a gradient. The research results show that the actual values of the adhesion coefficient and the total resistance are distributed according to the normal distribution law. A mode of locomotive motion largely depends on the relationship between the total train's running resistance and locomotive tractive force. Finally, basic conclusions are given.

Optimized Vehicle Scheduling Algorithm of Distribution Center

2013 ◽  
Vol 340 ◽  
pp. 581-586
Author(s):  
Zhu Wang
Keyword(s):  
Mathematical Model ◽  
Scheduling Algorithm ◽  
Time Windows ◽  
Distribution Center ◽  
Vehicle Scheduling ◽  
Scheduling Problem ◽  
Research Results ◽  
Logistics Distribution ◽  
The Mathematical Model

This thesis goes deep into the vehicle scheduling problem (VSP), which is the key problem for the distribution center.This paper analyzes and optimizes the mathematical model of vehicle scheduling problem. The problem of dynamic vehicle scheduling with time windows is described in great details in the thesis, which also gives an arithmetic solution aiming at the scheduling problem.Finally, based on the research results and under the background of logistics distribution enterprises, the vehicle scheduling algorithm is exposed to experiment.

scholarly journals MATHEMАTICAL MODEL OF THE RESPIRATORY SYSTEM

2017 ◽  
pp. 155-160
Author(s):  
Р.К. МАМЕДОВ ◽  
Е.К. РАГИМОВА
Keyword(s):  
Mathematical Model ◽  
Gas Exchange ◽  
Respiratory System ◽  
Human Body ◽  
Diagnostic Methods ◽  
Diagnostic Tools ◽  
Scope Of Application ◽  
The Creation ◽  
Critical Situations

Modeling of organs and structures of the human body, in particular, the development of a mathematical model of gas exchange of the respiratory system, makes it possible to predict critical situations, to clarify the mecha-nisms of pathology formation. This, in turn, expands the scope of application of diagnostic methods and devices and is a prerequisite for the creation of automated diagnostic tools.

scholarly journals TO THE CALCULATION OF ACOUSTIC FIELD CHARACTERISTICS FOR QUADCOPTER PROPELLERS

2019 ◽  
Vol 27 (4) ◽  
pp. 42-51
Author(s):  
Galina Ivanovna Sokol ◽  
Valeriy Yevgenovich Nekrasov ◽  
Vladislav Semenovich Zhmurko
Keyword(s):  
Mathematical Model ◽  
Unmanned Aerial Vehicles ◽  
Acoustic Field ◽  
Sound Pressure ◽  
Sound Field ◽  
Noise Distribution ◽  
Aerial Vehicles ◽  
Basic Law ◽  
Analytical Review ◽  
Scope Of Application

The work defines the area of use of unmanned aerial vehicles (UAVs) of the type of quadrocopter and calculated the acoustic field of propellers in order to reduce the level of noise at some distance. The main sources of noise, which are the hubs of the quadrocopter, are considered. The first samples of UAVs appeared in the middle of the last century as a separate type of promising weapons, but now quadrocopter,began to be actively used in the civilian sphere. The theory of the sound field of the aircraft's air propeller, which was proposed by L. Gutin to simulate the noise from each of the chochire screws of the quadrocopter, was carried out. A mathematical model has been created for calculating the total acoustic field all the of quadrocopter screws. The analysis and the defined area of use of UAVs of type quadrocopter  and the calculation of acoustic field of screws is given in order to reduce the noise level at some distance. The authors conducted an analytical review of the existing models of UAVs and quadrocopters, considered general examples of use of quadrocopters, their purpose and scope of application. On the basis of analytical review of constructions the fundamental scheme of quadrocopter for researches is given. The article is driven by the principal scheme of the chosen quadrocopter with the description of its main nodes. Based on the results of calculations, the noise distribution schedules of different frequencies in the space are constructed. The results from sound pressure levels for each of the five harmonics. Description of direction of acoustic fields on separate frequencies each of harmonics is constructed using the Besselyu function. Mathematical calculations have been performed in MathCad 2015. There are two forces on each screw element: thrust and resistance of the rotary motion. From the Basic Law of mechanics it follows that this element, in its turn, influences the environment with equal magnitude and opposable directed forces.

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