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Mathematical represantation of the branch kinematics of a transmission with descreteflexible connection
| Назва | Mathematical represantation of the branch kinematics of a transmission with descreteflexible connection |
| Назва англійською | Mathematical represantation of the branch kinematics of a transmission with descreteflexible connection |
| Автори | Ihor Lutsiv, Taras Dubyniak, Manziy Oleksandra, Andreichuk Stanislav |
| Принадлежність | Ternopil Ivan Puluj National Technical University, Ternopil, Ukraine
Lviv Polytechnic National University, Lviv, Ukraine |
| Бібліографічний опис | Mathematical represantation of the branch kinematics of a transmission with descreteflexible connection / Ihor Lutsiv, Taras Dubyniak, Oleksandra Manziy, Stanislav Andreichuk // Scientific Journal of TNTU. — Tern.: TNTU, 2022. — Vol 106. — No 2. — P. 5–15. |
| Bibliographic description: | Lutsiv I., Dubyniak T., Manziy O., Andreichuk S. (2022) Mathematical represantation of the branch kinematics of a transmission with descreteflexible connection. Scientific Journal of TNTU (Tern.), vol 106, no 2, pp. 5–15. |
| DOI: | https://doi.org/10.33108/visnyk_tntu2022.02.005 |
| УДК |
621.855 |
| Ключові слова |
transmission, chain, roll, branch, kinematics, pitch. |
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The paper deals with the mathematical model development of the kinematical behavior of the flexible transmission branch exemplified. A typical example of transmission with discrete-flexible connection can be considered as the movement of the drive elements of the chain. The use of chain gears as a drive for a wide range of technological machines with high requirements in order to ensure a certain law of motion of the executive bodies is the task of studying changes in its kinetic characteristics during operation. It is established that random deviations of the chain step from the nominal are the result of manufacturing inaccuracy elements of transmission and wear during operation. The mathematical model of motion gives an idea of the real interpretation of the kinematics of the chain transmission taking into account the uneven dimensions of individual links. The model makes it possible to present the components of deviations of the transmission movement from the given in two groups: deviations created by the accumulated error of the chain section, and movement. Calculations based on the developed mathematical model show that when the hinges of the sleeve-roller chain are worn by 2.5%, the value of the coefficient of non-uniformity of the transmission increases threefold. |
| ISSN: | 2522-4433 |
| Перелік літератури |
1. Malashchenko V. O., Strilets’ V. M., S trilets’ O. R., Novits’kyy Ya. M. Detali mashyn i pidiomno – transportne obladnannia. Lviv: Novyi Svit, 2017. 347 р.
2. Dubinyak S., Kruvuy P., Zubchenko I. Do pytannia optymizatsii velychyny partii detalei u rozpodilenomu v chasi seriinomu vyrobnytstvi pryvodnykh rolykovykh lantsiuhiv. Visnyk Ternopilskoho derzhavnoho tekhnichnoho universytetu. Volume 4. Number 3. 14–18 р.
3. Pilipenko O. I. Friction and wear in groups of the chain drivesfrom polymer composites. International Simposium “Yarofri-91”. Yaroslavl, 1991. 273–278 р.
4. Pilipenko O. I. Kontaktnoe vzaymodeystvye elementov tsepnoho pryvoda izpolimernykh kompozytiv, tom 9, zecz 2, AGH, Polska, Krakov, 1990. Р. 91–97.
5. Glushchenko I. P. Osnovu proektyrovanyia tsepnukh peredach s vtulochno- rolykovumy tsepiamy. Lviv: Vid-vo Lʹvívsʹkogo un-tu, 1964. 226 р.
6. Yaroshenko V. Do rozvytku konstruktsiy lantsyuhovykh pryvodiv u silʹsʹkohospodarsʹkykh mashynakh. VisnykTernopilʹsʹkoho derzhavnoho tekhnichnoho universytetu. 1999. Tom 4. Chyslo 3. Р. 58–62.
7. Dubynyak S. A., Zubchenko I. I., Shpak R. I. Pro vplyv spratsʹovuvannya lantsyuha na yoho zcheplennya iz zirochkoyu. Visnyk silʹsʹkohospodarsʹkoyi nauky. 1974. No. 1. Р. 35–38.
8. Uzkglingis G. A. Metodu rascheta resursa rolykovykh tsepei po kryteryiu iznosostoikosty. 1988. 20. 28 p.
9. Balzers E. Povushenye nazhenosty vtulochnukh rolykovykh tsepei metodom sbalansyrovannoi iznosostoikosty. Visnyk Ternopilskoho derzhavnoho tekhnichnoho universytetu. Volume 4. Number 3. 19–23 р.
10. Tomashuns I. A., Uzkglingis G. A., Dominiyeks L. A. Issledovaniye izmeneniya peredatochnogo chisla rolikovoy tsepnoy peredachi. Tr. Latv. SKHA. Yelgava, 1985. Vyp. 230. Р. 52–61.
11. Kruvuy P. D., Senyk A. A. Konstruktorske-tekhnolohichne zabespechennia pidvyshchennia yakosti zghortnykh vtulok: monohrafiia. 2019. 232 р.
12. Nazarevych O. Rozmirni kharakterystyky pryvodnykh lantsyuhiv. VisnykTernopilʹsʹkoho derzhavnoho tekhnichnohouniversytetu. 1999. Tom 4. Chyslo 3. Р. 126–135.
13. Dubinyak S. A. 1966. O neravnomernosty vrashchenyia vedomoi systemu tsepnoi peredachy. Vestnyk Lvovskoho polytekhnycheskoho ynstytuta. Rolikovyye tsepne peredachi. No. 12. 1966. Р. 68–78.
14. Dubinyak S. A. 1966. O vlyianyy raznorazmernosty shahov zvenev na dvyzhenye vedushchei vetvy tsepnoi peredachy. Vestnyk Lvovskoho polytekhnycheskoho ynstytuta. Rolikovyye tsepne peredachi. 1966. No. 12. Р. 61–67 . 15. Zubchenko I. I.. Kinematyka i dynamika lantsiuhovykh peredach. Vestnyk Lvovskoho polytekhnycheskoho ynstytuta. 1972. 124 р.
16. Glushchenko I. P. O raznorazmernosti shagov zvenʹyev rolikovykh tsepey s pryamimi plastinami. Vestnik Lʹvovskogo politekhnicheskogo int·stituta. Rolikovyye tsepne peredachi. No. 12. 1966. Р. 5–16. |
| References: |
1. Malashchenko V. O., Strilets’ V. M., S trilets’ O. R., Novits’kyy Ya. M. Detali mashyn i pidiomno – transportne obladnannia. Lviv: Novyi Svit, 2017. 347 р.
2. Dubinyak S., Kruvuy P., Zubchenko I. Do pytannia optymizatsii velychyny partii detalei u rozpodilenomu v chasi seriinomu vyrobnytstvi pryvodnykh rolykovykh lantsiuhiv. Visnyk Ternopilskoho derzhavnoho tekhnichnoho universytetu. Volume 4. Number 3. 14–18 р.
3. Pilipenko O. I. Friction and wear in groups of the chain drivesfrom polymer composites. International Simposium “Yarofri-91”. Yaroslavl, 1991. 273–278 р.
4. Pilipenko O. I. Kontaktnoe vzaymodeystvye elementov tsepnoho pryvoda izpolimernykh kompozytiv, tom 9, zecz 2, AGH, Polska, Krakov, 1990. Р. 91–97.
5. Glushchenko I. P. Osnovu proektyrovanyia tsepnukh peredach s vtulochno- rolykovumy tsepiamy. Lviv: Vid-vo Lʹvívsʹkogo un-tu, 1964. 226 р.
6. Yaroshenko V. Do rozvytku konstruktsiy lantsyuhovykh pryvodiv u silʹsʹkohospodarsʹkykh mashynakh. VisnykTernopilʹsʹkoho derzhavnoho tekhnichnoho universytetu. 1999. Tom 4. Chyslo 3. Р. 58–62.
7. Dubynyak S. A., Zubchenko I. I., Shpak R. I. Pro vplyv spratsʹovuvannya lantsyuha na yoho zcheplennya iz zirochkoyu. Visnyk silʹsʹkohospodarsʹkoyi nauky. 1974. No. 1. Р. 35–38.
8. Uzkglingis G. A. Metodu rascheta resursa rolykovykh tsepei po kryteryiu iznosostoikosty. 1988. 20. 28 p.
9. Balzers E. Povushenye nazhenosty vtulochnukh rolykovykh tsepei metodom sbalansyrovannoi iznosostoikosty. Visnyk Ternopilskoho derzhavnoho tekhnichnoho universytetu. Volume 4. Number 3. 19–23 р.
10. Tomashuns I. A., Uzkglingis G. A., Dominiyeks L. A. Issledovaniye izmeneniya peredatochnogo chisla rolikovoy tsepnoy peredachi. Tr. Latv. SKHA. Yelgava, 1985. Vyp. 230. Р. 52–61.
11. Kruvuy P. D., Senyk A. A. Konstruktorske-tekhnolohichne zabespechennia pidvyshchennia yakosti zghortnykh vtulok: monohrafiia. 2019. 232 р.
12. Nazarevych O. Rozmirni kharakterystyky pryvodnykh lantsyuhiv. VisnykTernopilʹsʹkoho derzhavnoho tekhnichnohouniversytetu. 1999. Tom 4. Chyslo 3. Р. 126–135.
13. Dubinyak S. A. 1966. O neravnomernosty vrashchenyia vedomoi systemu tsepnoi peredachy. Vestnyk Lvovskoho polytekhnycheskoho ynstytuta. Rolikovyye tsepne peredachi. No. 12. 1966. Р. 68–78.
14. Dubinyak S. A. 1966. O vlyianyy raznorazmernosty shahov zvenev na dvyzhenye vedushchei vetvy tsepnoi peredachy. Vestnyk Lvovskoho polytekhnycheskoho ynstytuta. Rolikovyye tsepne peredachi. 1966. No. 12. Р. 61–67 . 15. Zubchenko I. I.. Kinematyka i dynamika lantsiuhovykh peredach. Vestnyk Lvovskoho polytekhnycheskoho ynstytuta. 1972. 124 р.
16. Glushchenko I. P. O raznorazmernosti shagov zvenʹyev rolikovykh tsepey s pryamimi plastinami. Vestnik Lʹvovskogo politekhnicheskogo int·stituta. Rolikovyye tsepne peredachi. No. 12. 1966. Р. 5–16. |
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