Statistical analysis of sizing features of dust generated under the mechanical metal-working
Introduction. The paper considers the mathematical analysis of the fractional composition of dust generated during the operation of the rail-cutting machine. It is established that the studied polydisperse material is well described by the one-parameter exponential distribution. At the same time, th...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | Russian |
| Published: |
Don State Technical University
2020-03-01
|
| Series: | Advanced Engineering Research |
| Subjects: | |
| Online Access: | https://www.vestnik-donstu.ru/jour/article/view/1637 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849691081458843648 |
|---|---|
| author | N. N. Azimova E. N. Ladosha S. N. Kholodova D. S. Tsymbalov O. V. Yatsenko |
| author_facet | N. N. Azimova E. N. Ladosha S. N. Kholodova D. S. Tsymbalov O. V. Yatsenko |
| author_sort | N. N. Azimova |
| collection | DOAJ |
| description | Introduction. The paper considers the mathematical analysis of the fractional composition of dust generated during the operation of the rail-cutting machine. It is established that the studied polydisperse material is well described by the one-parameter exponential distribution. At the same time, the lognormal particle size distribution, whose parameters are determined by mathematical programming methods, seems adequate for the purposes of calculating cyclones. The work objective was to develop mathematical methods for correct averaging of the size and mass parameters of dust under the solid metal machining.Materials and Methods. We studied the possibility of approximating experimental data by Rosin – Rammler distributions (classical, generalized three-parameter P(x, D, n, m), and simplified exponential P(x), in which n = 1). The corresponding results were compared to each other and to the data of approximation of the lognormal and double lognormal functions. These results indicate close approximation quality using the following model distributions P(x):• five-parameter double lognormal;• three-parameter type of Rosin-Rammler;• two-parameter classical Rosin - Rammler;• one-parameter exponential.Results. The primary physical analysis of cutting waste was carried out by the laboratory measuring complex Fritsch Analysette 22 Compact which uses the LALLS – low angle laser scattering method. The built-in software provides output of measurement results in primary graphic and digital forms. It was found that the simplest exponential distribution is best suited for a detailed analysis of the dust particle-size distribution based on the experimental data.This distribution enables reproduction of all the integral indicators provided by the instrumental measuring complex along with the graphical data.Discussion and Conclusions. The results obtained can be used to rationalize the local suction machine, and the mathematical models and algorithms can be used for the parametric analysis of any dust captured by cyclones. |
| format | Article |
| id | doaj-art-0bb498d66d1a4ae9b790e1c42ea75c14 |
| institution | DOAJ |
| issn | 2687-1653 |
| language | Russian |
| publishDate | 2020-03-01 |
| publisher | Don State Technical University |
| record_format | Article |
| series | Advanced Engineering Research |
| spelling | doaj-art-0bb498d66d1a4ae9b790e1c42ea75c142025-08-20T03:21:08ZrusDon State Technical UniversityAdvanced Engineering Research2687-16532020-03-01201687810.23947/1992-5980-2020-20-1-68-781454Statistical analysis of sizing features of dust generated under the mechanical metal-workingN. N. Azimova0E. N. Ladosha1S. N. Kholodova2D. S. Tsymbalov3O. V. Yatsenko4Don State Technical UniversityDon State Technical UniversityDon State Technical UniversityDon State Technical UniversityDon State Technical UniversityIntroduction. The paper considers the mathematical analysis of the fractional composition of dust generated during the operation of the rail-cutting machine. It is established that the studied polydisperse material is well described by the one-parameter exponential distribution. At the same time, the lognormal particle size distribution, whose parameters are determined by mathematical programming methods, seems adequate for the purposes of calculating cyclones. The work objective was to develop mathematical methods for correct averaging of the size and mass parameters of dust under the solid metal machining.Materials and Methods. We studied the possibility of approximating experimental data by Rosin – Rammler distributions (classical, generalized three-parameter P(x, D, n, m), and simplified exponential P(x), in which n = 1). The corresponding results were compared to each other and to the data of approximation of the lognormal and double lognormal functions. These results indicate close approximation quality using the following model distributions P(x):• five-parameter double lognormal;• three-parameter type of Rosin-Rammler;• two-parameter classical Rosin - Rammler;• one-parameter exponential.Results. The primary physical analysis of cutting waste was carried out by the laboratory measuring complex Fritsch Analysette 22 Compact which uses the LALLS – low angle laser scattering method. The built-in software provides output of measurement results in primary graphic and digital forms. It was found that the simplest exponential distribution is best suited for a detailed analysis of the dust particle-size distribution based on the experimental data.This distribution enables reproduction of all the integral indicators provided by the instrumental measuring complex along with the graphical data.Discussion and Conclusions. The results obtained can be used to rationalize the local suction machine, and the mathematical models and algorithms can be used for the parametric analysis of any dust captured by cyclones.https://www.vestnik-donstu.ru/jour/article/view/1637metal cuttingdustsize distributionstatisticsmathematical programming |
| spellingShingle | N. N. Azimova E. N. Ladosha S. N. Kholodova D. S. Tsymbalov O. V. Yatsenko Statistical analysis of sizing features of dust generated under the mechanical metal-working Advanced Engineering Research metal cutting dust size distribution statistics mathematical programming |
| title | Statistical analysis of sizing features of dust generated under the mechanical metal-working |
| title_full | Statistical analysis of sizing features of dust generated under the mechanical metal-working |
| title_fullStr | Statistical analysis of sizing features of dust generated under the mechanical metal-working |
| title_full_unstemmed | Statistical analysis of sizing features of dust generated under the mechanical metal-working |
| title_short | Statistical analysis of sizing features of dust generated under the mechanical metal-working |
| title_sort | statistical analysis of sizing features of dust generated under the mechanical metal working |
| topic | metal cutting dust size distribution statistics mathematical programming |
| url | https://www.vestnik-donstu.ru/jour/article/view/1637 |
| work_keys_str_mv | AT nnazimova statisticalanalysisofsizingfeaturesofdustgeneratedunderthemechanicalmetalworking AT enladosha statisticalanalysisofsizingfeaturesofdustgeneratedunderthemechanicalmetalworking AT snkholodova statisticalanalysisofsizingfeaturesofdustgeneratedunderthemechanicalmetalworking AT dstsymbalov statisticalanalysisofsizingfeaturesofdustgeneratedunderthemechanicalmetalworking AT ovyatsenko statisticalanalysisofsizingfeaturesofdustgeneratedunderthemechanicalmetalworking |