Development of a Mathematical Model for Predicting the Physical and Mechanical Properties of Rubber When Introducing a Complex Vulcanization Activator.
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| Title: | Development of a Mathematical Model for Predicting the Physical and Mechanical Properties of Rubber When Introducing a Complex Vulcanization Activator. |
|---|---|
| Authors: | Tikhomirov, S. G.1 (AUTHOR), Karmanova, O. V.1 (AUTHOR) karolga@mail.ru, Semenov, M. E.2 (AUTHOR), Poluektov, D. A.2 (AUTHOR), Golyakevich, A. A.1 (AUTHOR) |
| Source: | Theoretical Foundations of Chemical Engineering. Dec2024, Vol. 58 Issue 6, p1991-1998. 8p. |
| Subjects: | Computational statistics, Mathematical statistics, Vulcanization, Statistics, Mathematical models |
| Abstract: | A mathematical description is developed for predicting the physicomechanical properties of sulfur vulcanizates of diene rubbers obtained in the presence of complex vulcanization activators. The concentrations of the components of the complex vulcanization activator, as well as the technological modes of its production, are selected as input parameters. Based on a sample of over 800 experiments, dependences are established for the changes in the modulus and conditional strength on stretching, as well as the relative elongation at breaking, in relation to the ratio of the activator components, temperature, and duration of its synthesis. Statistical data processing is conducted, including Shapiro–Wilk statistical tests. Using neural network technology, a mathematical model is synthesized to describe the influence of the composition of the vulcanization activator and the conditions of its synthesis on the physicomechanical properties of the vulcanizates. The neural network is trained using a dataset containing 784 experiments, and the quality of the approximation is assessed on a control sample of 76 experiments. The obtained values of the relative error in determining the conditional strength and relative elongation by the computational method are approximately 6%. A graphical representation of the results of the simulation is provided. [ABSTRACT FROM AUTHOR] |
| Copyright of Theoretical Foundations of Chemical Engineering is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 183973737 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Development of a Mathematical Model for Predicting the Physical and Mechanical Properties of Rubber When Introducing a Complex Vulcanization Activator. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Tikhomirov%2C+S%2E+G%2E%22">Tikhomirov, S. G.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Karmanova%2C+O%2E+V%2E%22">Karmanova, O. V.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> karolga@mail.ru</i><br /><searchLink fieldCode="AR" term="%22Semenov%2C+M%2E+E%2E%22">Semenov, M. E.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Poluektov%2C+D%2E+A%2E%22">Poluektov, D. A.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Golyakevich%2C+A%2E+A%2E%22">Golyakevich, A. A.</searchLink><relatesTo>1</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Theoretical+Foundations+of+Chemical+Engineering%22">Theoretical Foundations of Chemical Engineering</searchLink>. Dec2024, Vol. 58 Issue 6, p1991-1998. 8p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Computational+statistics%22">Computational statistics</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+statistics%22">Mathematical statistics</searchLink><br /><searchLink fieldCode="DE" term="%22Vulcanization%22">Vulcanization</searchLink><br /><searchLink fieldCode="DE" term="%22Statistics%22">Statistics</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models%22">Mathematical models</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: A mathematical description is developed for predicting the physicomechanical properties of sulfur vulcanizates of diene rubbers obtained in the presence of complex vulcanization activators. The concentrations of the components of the complex vulcanization activator, as well as the technological modes of its production, are selected as input parameters. Based on a sample of over 800 experiments, dependences are established for the changes in the modulus and conditional strength on stretching, as well as the relative elongation at breaking, in relation to the ratio of the activator components, temperature, and duration of its synthesis. Statistical data processing is conducted, including Shapiro–Wilk statistical tests. Using neural network technology, a mathematical model is synthesized to describe the influence of the composition of the vulcanization activator and the conditions of its synthesis on the physicomechanical properties of the vulcanizates. The neural network is trained using a dataset containing 784 experiments, and the quality of the approximation is assessed on a control sample of 76 experiments. The obtained values of the relative error in determining the conditional strength and relative elongation by the computational method are approximately 6%. A graphical representation of the results of the simulation is provided. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Theoretical Foundations of Chemical Engineering is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1134/S0040579525601037 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 8 StartPage: 1991 Subjects: – SubjectFull: Computational statistics Type: general – SubjectFull: Mathematical statistics Type: general – SubjectFull: Vulcanization Type: general – SubjectFull: Statistics Type: general – SubjectFull: Mathematical models Type: general Titles: – TitleFull: Development of a Mathematical Model for Predicting the Physical and Mechanical Properties of Rubber When Introducing a Complex Vulcanization Activator. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Tikhomirov, S. G. – PersonEntity: Name: NameFull: Karmanova, O. V. – PersonEntity: Name: NameFull: Semenov, M. E. – PersonEntity: Name: NameFull: Poluektov, D. A. – PersonEntity: Name: NameFull: Golyakevich, A. A. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 12 Text: Dec2024 Type: published Y: 2024 Identifiers: – Type: issn-print Value: 00405795 Numbering: – Type: volume Value: 58 – Type: issue Value: 6 Titles: – TitleFull: Theoretical Foundations of Chemical Engineering Type: main |
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