Mathematical modeling of the roller-rope coupling operation in misalignment conditions
The article deals with the results of construction and mathematical modeling of rope - roller coupling in condition of radial misalignment. As a result of modeling, the operation of coupling is revealed in the presence of misalignment of the shafts connected by it. Formulas are obtained that allow t...
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Gespeichert in:
| Autor*in: |
V.А. Protsenko [verfasserIn] М.V. Babiy [verfasserIn] V.А. Nastasenko [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2018 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
In: Қарағанды университетінің хабаршысы. Математика сериясы - Academician Ye.A. Buketov Karaganda University, 2023, 90(2018), 2 |
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| Übergeordnetes Werk: |
volume:90 ; year:2018 ; number:2 |
| Links: |
Link aufrufen |
|---|
| DOI / URN: |
10.31489/2018m2/143-149 |
|---|
| Katalog-ID: |
DOAJ097991082 |
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| 520 | |a The article deals with the results of construction and mathematical modeling of rope - roller coupling in condition of radial misalignment. As a result of modeling, the operation of coupling is revealed in the presence of misalignment of the shafts connected by it. Formulas are obtained that allow to determine the elongation of the rope depending on the magnitude of misalignment, as well as the design parameters of the coupling. The results of the investigations also allow determining the radial load from the coupling on the shafts at any angle of rotation of the coupling. Numerical simulation by the obtained formulas made it possible to establish that coupling is characterized by high compensating ability and low radial stiffness. So, with a radial displacement of 0.5 mm (for a prototype coupling with elastic star allow only 0.25 mm), the rope - roller coupling creates a load of only 5 N on the shafts, with a rope elongation of 5.5 µ m. The dependencies obtained are approved during the design of the coupling, and the results of the calculations on them are checked by comparison with the results of the construction and showed a coincidence. The obtained results can be used in the design of rope - roller couplings. | ||
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10.31489/2018m2/143-149 doi (DE-627)DOAJ097991082 (DE-599)DOAJ744d4e755a4844538ebb228bfcb5e77f DE-627 ger DE-627 rakwb eng QA299.6-433 QA801-939 QA273-280 V.А. Protsenko verfasserin aut Mathematical modeling of the roller-rope coupling operation in misalignment conditions 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The article deals with the results of construction and mathematical modeling of rope - roller coupling in condition of radial misalignment. As a result of modeling, the operation of coupling is revealed in the presence of misalignment of the shafts connected by it. Formulas are obtained that allow to determine the elongation of the rope depending on the magnitude of misalignment, as well as the design parameters of the coupling. The results of the investigations also allow determining the radial load from the coupling on the shafts at any angle of rotation of the coupling. Numerical simulation by the obtained formulas made it possible to establish that coupling is characterized by high compensating ability and low radial stiffness. So, with a radial displacement of 0.5 mm (for a prototype coupling with elastic star allow only 0.25 mm), the rope - roller coupling creates a load of only 5 N on the shafts, with a rope elongation of 5.5 µ m. The dependencies obtained are approved during the design of the coupling, and the results of the calculations on them are checked by comparison with the results of the construction and showed a coincidence. The obtained results can be used in the design of rope - roller couplings. mathematical model misalignment coupling rope load tightening Analysis Analytic mechanics Probabilities. Mathematical statistics М.V. Babiy verfasserin aut V.А. Nastasenko verfasserin aut In Қарағанды университетінің хабаршысы. Математика сериясы Academician Ye.A. Buketov Karaganda University, 2023 90(2018), 2 (DE-627)DOAJ00015783X 26635011 nnns volume:90 year:2018 number:2 https://doi.org/10.31489/2018m2/143-149 kostenfrei https://doaj.org/article/744d4e755a4844538ebb228bfcb5e77f kostenfrei http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/268 kostenfrei https://doaj.org/toc/2518-7929 Journal toc kostenfrei https://doaj.org/toc/2663-5011 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ AR 90 2018 2 |
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10.31489/2018m2/143-149 doi (DE-627)DOAJ097991082 (DE-599)DOAJ744d4e755a4844538ebb228bfcb5e77f DE-627 ger DE-627 rakwb eng QA299.6-433 QA801-939 QA273-280 V.А. Protsenko verfasserin aut Mathematical modeling of the roller-rope coupling operation in misalignment conditions 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The article deals with the results of construction and mathematical modeling of rope - roller coupling in condition of radial misalignment. As a result of modeling, the operation of coupling is revealed in the presence of misalignment of the shafts connected by it. Formulas are obtained that allow to determine the elongation of the rope depending on the magnitude of misalignment, as well as the design parameters of the coupling. The results of the investigations also allow determining the radial load from the coupling on the shafts at any angle of rotation of the coupling. Numerical simulation by the obtained formulas made it possible to establish that coupling is characterized by high compensating ability and low radial stiffness. So, with a radial displacement of 0.5 mm (for a prototype coupling with elastic star allow only 0.25 mm), the rope - roller coupling creates a load of only 5 N on the shafts, with a rope elongation of 5.5 µ m. The dependencies obtained are approved during the design of the coupling, and the results of the calculations on them are checked by comparison with the results of the construction and showed a coincidence. The obtained results can be used in the design of rope - roller couplings. mathematical model misalignment coupling rope load tightening Analysis Analytic mechanics Probabilities. Mathematical statistics М.V. Babiy verfasserin aut V.А. Nastasenko verfasserin aut In Қарағанды университетінің хабаршысы. Математика сериясы Academician Ye.A. Buketov Karaganda University, 2023 90(2018), 2 (DE-627)DOAJ00015783X 26635011 nnns volume:90 year:2018 number:2 https://doi.org/10.31489/2018m2/143-149 kostenfrei https://doaj.org/article/744d4e755a4844538ebb228bfcb5e77f kostenfrei http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/268 kostenfrei https://doaj.org/toc/2518-7929 Journal toc kostenfrei https://doaj.org/toc/2663-5011 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ AR 90 2018 2 |
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Mathematical modeling of the roller-rope coupling operation in misalignment conditions |
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Mathematical modeling of the roller-rope coupling operation in misalignment conditions |
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V.А. Protsenko |
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Қарағанды университетінің хабаршысы. Математика сериясы |
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Қарағанды университетінің хабаршысы. Математика сериясы |
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V.А. Protsenko М.V. Babiy V.А. Nastasenko |
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Elektronische Aufsätze |
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V.А. Protsenko |
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10.31489/2018m2/143-149 |
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mathematical modeling of the roller-rope coupling operation in misalignment conditions |
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Mathematical modeling of the roller-rope coupling operation in misalignment conditions |
| abstract |
The article deals with the results of construction and mathematical modeling of rope - roller coupling in condition of radial misalignment. As a result of modeling, the operation of coupling is revealed in the presence of misalignment of the shafts connected by it. Formulas are obtained that allow to determine the elongation of the rope depending on the magnitude of misalignment, as well as the design parameters of the coupling. The results of the investigations also allow determining the radial load from the coupling on the shafts at any angle of rotation of the coupling. Numerical simulation by the obtained formulas made it possible to establish that coupling is characterized by high compensating ability and low radial stiffness. So, with a radial displacement of 0.5 mm (for a prototype coupling with elastic star allow only 0.25 mm), the rope - roller coupling creates a load of only 5 N on the shafts, with a rope elongation of 5.5 µ m. The dependencies obtained are approved during the design of the coupling, and the results of the calculations on them are checked by comparison with the results of the construction and showed a coincidence. The obtained results can be used in the design of rope - roller couplings. |
| abstractGer |
The article deals with the results of construction and mathematical modeling of rope - roller coupling in condition of radial misalignment. As a result of modeling, the operation of coupling is revealed in the presence of misalignment of the shafts connected by it. Formulas are obtained that allow to determine the elongation of the rope depending on the magnitude of misalignment, as well as the design parameters of the coupling. The results of the investigations also allow determining the radial load from the coupling on the shafts at any angle of rotation of the coupling. Numerical simulation by the obtained formulas made it possible to establish that coupling is characterized by high compensating ability and low radial stiffness. So, with a radial displacement of 0.5 mm (for a prototype coupling with elastic star allow only 0.25 mm), the rope - roller coupling creates a load of only 5 N on the shafts, with a rope elongation of 5.5 µ m. The dependencies obtained are approved during the design of the coupling, and the results of the calculations on them are checked by comparison with the results of the construction and showed a coincidence. The obtained results can be used in the design of rope - roller couplings. |
| abstract_unstemmed |
The article deals with the results of construction and mathematical modeling of rope - roller coupling in condition of radial misalignment. As a result of modeling, the operation of coupling is revealed in the presence of misalignment of the shafts connected by it. Formulas are obtained that allow to determine the elongation of the rope depending on the magnitude of misalignment, as well as the design parameters of the coupling. The results of the investigations also allow determining the radial load from the coupling on the shafts at any angle of rotation of the coupling. Numerical simulation by the obtained formulas made it possible to establish that coupling is characterized by high compensating ability and low radial stiffness. So, with a radial displacement of 0.5 mm (for a prototype coupling with elastic star allow only 0.25 mm), the rope - roller coupling creates a load of only 5 N on the shafts, with a rope elongation of 5.5 µ m. The dependencies obtained are approved during the design of the coupling, and the results of the calculations on them are checked by comparison with the results of the construction and showed a coincidence. The obtained results can be used in the design of rope - roller couplings. |
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Mathematical modeling of the roller-rope coupling operation in misalignment conditions |
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