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Master of DonNTU Teriaiev Ievgen    Teriaiev Ievgen
   Faculty: Engineering mechanics and mechanical engineering
   Speciality: Technology of mechanical engineering
   Theme of master's work: Technological support to improve the quality of surfaces revolution by finishing treatment
   Scientific adviser: associate professor Kovalenko Valeriy
Biography | Curriculum vitae | Abstract

Abstract

Important remark!

When I wrote this abstract, master's project work is not yet completed. Final completion will be December 2010. Full text of work and materials on the subject can be obtained from the author or his adviser after that date.

Objective of work

To improve the stability of a manufacturing process based on an analysis of factors influencing the accuracy of machined surfaces.

In a mass production factory called Compressor which is a subsidiary of the NORD Company. I did experimental studies of couplings: shaft-casing and the piston-casing. Both of these couplings are used in compressor of refrigerator and are the most important parts. Figure 1 shows the working processes of the main unit compressor.

Animation working processes of the main unit compressor (size of animation 79 Kb; frame count 12; repeat count 5)
Figure 1. Animation working processes of the main unit compressor
(size of animation 79 Kb; frame count 12; repeat count 5)

Searching and analyzing of factors influencing the accuracy of the machined surfaces based on finishing treatment operation of these mating parts.

It may give some factors that have great impact on the analyzable manufacturing process:

  • element displacement of the technological system under the action of cutting forces;
  • geometric inaccuracy of machine tool;
  • debugging and corrective adjustment of technological system on size;
  • error of measurement;
  • dimensional deterioration of process tool;
  • microstructure;
  • distribution of internal stresses;
  • different hardness of work pieces;
  • temperature deformations.

Object of study — finishing operations couplings shaft-casing and the piston-casing.

Item of study — samples with measurements of the shaft, piston and two matching bores in the casing.

Method of study — is based on statistical analysis of data obtained by measuring.

Aim and scope of work

In the study of accuracy of manufacturing processes and identifying patterns of production errors, analytical and statistical methods are used to analyze manufacturing of parts.

The analytical method is based on establishing a functional relationship between the values of each primary error and the final accuracy of the finished product.

In fact, defining the model does not reflect in its entire manufacturing processes, because it is impossible to analytically determine all collection of the factors and their influence on the accuracy of the output parameters of the process. Therefore, this method is applicable only to assess the impact of individual factors on the accuracy of manufacturing of the individual parts.

In a more wide application, the estimated accuracy of manufacturing processes had received a statistical method. The method is based on the theory of probability and mathematical statistics. The statistical method is based on receiving and processing a large number of observations, providing the necessary body of information.

The statistical method used to investigate the accuracy of the manufacturing processes of serial and mass production using the distribution curves, correlation and dispersion analysis, the accuracy of diagrams.

The statistical method differ is not only for its low cost and complexity, but also because it makes it possible to find the conditions for optimal functioning of the process under investigation.

Scientific novelty

In the future, I will be able to innovate a method of estimating the precision manufacturing process based on dispersion and correlation analysis.

Practical value

To obtain an experimental data that characterize the work couplings shaft-casing and the piston-casing with point of view, their accuracy and identification of factors affecting the stability of the manufacturing process, the appearance of defective parts; method clearing of wastage.

Review of research

Globally, a major contribution to the development of statistical methods of experimental design made by Ronald Fisher, who first demonstrated the feasibility of simultaneous variation of all factors, as opposed to common single-factor experiment, as well as Box and Wilson, who proposed a method of steep ascent.

On a scale of Donetsk National Technical University in similar work Masters engaged department "Technology of mechanical engineering" Kudryavtsev A. on the subject "Investigation of processing roller of mill on a machine with CNC" and Lobko A. on the subject "Technological maintenance of improvement of quality of details of the hydraulic cylinder"

Summary of own results

At the present point in time do exploration of coupling shaft-casing. Fig. 2 shows a scheme of crank mechanism.

Scheme of crank mechanism
Figure 2. Scheme of crank mechanism

Where dв1 - diameter of short section of shaft, dв2 - diameter of long section of shaft, Dmin - minimal diameter of bore, Dmax - maximal diameter of bore.

The initial data are measuring size drift dв1, dв2, Dmin, Dmax for the three samples. Each sample consists of 50 measurements. Samples were selected during a period of one-week intervals. Results obtained when measuring the samples are presented in table 1.

Diagram of the size distribution of the first sample for the parameters dв1, dв2 presented in figure 3.

Diagram of the size distribution
Figure 3. Diagram of the size distribution dв1 and dв2

Table 1. Results of measuring inaccuracies of mating parts, mcm

Sample №1Sample №2Sample №3
dв1dв2DminDmaxdв1dв2DminDmaxdв1dв2DminDmax
1141357151457161414
21412811141378111289
3141236121135111255
4141314161557131246
5121257141303101246
6141469141536121258
7131358141346131357
8121147151516131168
9141469161513111246
10131357131556111168
1115144713165891068
121413681315561111910
131313451316910161314
14101025121556111113
15131379131257131347
161212911131502121358
17141246161479131379
181313910141569101147
19141358141646111136
20151346131436121278
211313710141523111157
22131379161547131179
23131279131469111103
2411126911124610989
25111279151689141334
26141489161556131324
27141368141326121024
28141303161513121313
29121468151626131323
30141457131546121146
31141269141569121234
32131368141313121145
3313141011121369131257
34151345161545131289
3515141011141578121103
361211811131478111056
37141447131457131379
38121346181669131334
39131367131445121278
4014134616184610989
41151389161756101023
42151446161589121146
43141235161558111047
44151357151446111003
4514121011171546121289
461513781314581314911
4713151011181935161557
481312910151478151435
4913131011151369141335
50101179161247101003

In order to simplify the calculation formed mean bore diameter Dср on all the values in the samples:

Dср = (Dmin + Dmax) ⁄ 2 (1)

Secure and heavy activity of compressor ensured optimal clearances in all movable joints. Therefore, for each sample that was determined, clearance J1 and J2 have difference in the size of mean bore diameter and the diameter of the corresponding surfaces of shaft.:

J1 = Dср - dв1(2)
J2 = Dср - dв2(3)

Diagram of distribution clearance J1 and J2 on the first sample is shown in fig. 4.

Diagram of distribution clearance
Figure 4. Diagram of distribution clearance J1 and J2

To study this coupling used dispersion analysis. To check the homogeneity of two dispersions in practice most often used Fisher criterion (F-test), which lies in the fact that the taken relation of greater dispersion (S12) to lower (S22) [1]:

(4)

Calculated value of the criterion is compared with the critical tabulated, defined for an accepted level of significance and relevant S12 and S22 the degrees of freedom f1 and f2. If the calculated value F is greater than the table Fα, then the dispersions are heterogeneous and there is need to compare other dispersions. When the calculated value F is less than the table Fα, then they are homogeneous dispersions, in which case you should use the weighted average value of the dispersion:

(5)

Characteristics of samples (sample size n, the degrees of freedom f, the arithmetic mean X and dispersion estimation Sx2) are presented in table 2.

Table 2. Static characteristic of samples

№ of sampleObservable parameternfX, mcmSx2
1dв1504913,341,494
dв212,820,926
Dср6,954,716
J120,295,49
J219,776,073
2dв1504913,341,494
dв212,820,926
Dср6,954,716
J120,295,49
J219,776,073
3dв1504913,341,494
dв212,820,926
Dср6,954,716
J120,295,49
J219,776,073

Conclusion

In the future, I will engage in a research work on the dispersion and correlation analysis of couplings shaft-casing and the piston-casing with a large number of samples. The interval between samples will be at least one week, and this means that the properties of the material of work pieces and condition of the process tool. And then it will be possible to determine the influence of various factors on the characteristics of the manufacturing process.


Important remark!

When I wrote this abstract, master's project work is not yet completed. Final completion will be December 2010. Full text of work and materials on the subject can be obtained from the author or his adviser after that date.


References
  1. Теория инженерного эксперимента: Учеб. пособие / Тимошенко Г.М., Зима П.Ф. – К.: УМК ВО, 1991.
  2. Справочник по теории вероятностей и математической статистике / Королюк В.С., Портенко Н.И., Скороход А.В., Турбин А.Ф. – М.: Наука. Главная редакция физико-математической литературы, 1985.
  3. Кутай А.К., Кордонский X.Б. Анализ точности и контроль, качества в машиностроении с применением методов математической статистики. М.- Л., Машгиз, 1958.
  4. Спиридонов А.А. Планирование эксперимента при исследовании технологических процессов. М.: Машиностроение, 1981.-184 с., ил.
  5. Адлер Ю.П., Маркова Е.В., Грановский Ю.В. Планирование эксперимента при поиске оптимальных условий. М.: Наука, 1976.-279 с.
  6. Вознесенский В. А. Статистические методы планирования эксперимента в технико-экономических исследованиях. М., Статистика, 1974. 192 с.
  7. Вознесенский В. А. Статистические решения в технологических задачах. Кишинев, Картя молдовеняска, 1968. 232 с.
  8. Х. Шенк. Теория инженерного эксперимента.- Пер. с англ.- М.: Мир, 1972.
  9. Фишер Р.А. Статистические методы для исследователей. М.: Госстатиздат, 1958
  10. Феллер В. Введение в теорию вероятностей и ее приложения. Том 1. (2-е изд.). М.: Мир, 1964
  11. Феллер В. Введение в теорию вероятностей и ее приложения. Том 2. М.: Мир, 1967
  12. Математическая теория планирования эксперимента./Под редакцией С.М. Ермакова.-М.: Наука. Главная редакция физико-математической литературы, 1983.-392 с.
  13. Xальд А. Математическая статистика с техническими приложениями. М.: ил, 1956

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Biography | Curriculum vitae | Abstract