Особливості зношування пружної півплощини штампами канонічної форми: Fìz.-mat. model. ìnf. tehnol. 2020, 28:73-80

• Datum: 2020
• Hauptverfasser: Sachuk, Uriy, Maksymuk, Oleksandr, Salanda, Ivanna
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України 2020
• Schlagworte: інтергро-диференціальні рівняння; поліноми Чебишова; фрикційна пара; зношування; змінні області контакту; штампи канонічної форми
• Online Zugang: https://www.fmmit.lviv.ua/index.php/fmmit/article/view/136
• Назва журналу: Physico-mathematical modeling and informational technologies

For the problems of contact interaction of canons of canonical form (cylindrical, elliptical, hyperbolic, parabolic) with elastic half-plane with consideration of material wear, the features of half-plane wear by different canonical dies at different moments of friction pair time were investigated. An iterative search algorithm based on extrapolation polynomials was used to find wear areas. For fixed moments, the wear areas were numerically calculated at a given initial clamping force. The graphs of the contact pressures were constructed and the peculiarities of their distributions were analyzed for different forms of dies with a considerable time of friction pair operation. As a result of the obtained numerical data, it is established that the contact area changes for canonical stamps depending on the time and curvature of the stamps. References Sachuk, Yu. V. (2015). Uzahalnena problema na vlasni znachennia v zadachakh kontaktnoi vzaiemodii z urakhuvanniam znoshuvannia materialu. Fizyko-matematychne modeliuvannia ta informatsiini tekhnolohii, 21, 205-212. li class="show">Sachuk, Yu. V., Maksymuk, O. V. (2015). Kontaktna zadacha pro znoshuvannia pruzhnoi pivploshchyny shtampamy kanonichnoi formy. Ternopilskoho natsionalnoho universytetu, 2, 70-80. Goryacheva, I .G. (2001). Mehanika frikcionnogo vzaimodejstviya. M.: Nauka. Peleh, B. L., Maksimuk, A. V., Korovajchuk, I. M. (1988). Kontaktnye zadachi dlya sloistyh elementov konstrukcij i tel s pokrytiyami. Kiev: Nuk. dumka. Sachuk, Yu. V., Maksymuk, O. V. (2018). Obchyslennia oblastei kontaktu dlia zadach kontaktnoi vzaiemodii kanonichnykh shtampiv iz pivploshchynoiu z urakhuvannia znoshuvannia. V naukovo-tekhnichna konferentsiia «Obchysliuvalni metody i systemy peretvorennia informatsii»: zb. nauk. prats nauk.-tekh. konf., 24–25. Sharyj, S. P. (2014). Kurs vychislitelnyh metodov. Novosibirsk: Institut vychislitelnyh tehnologij SO RAN. Young, T, Martin, J. (2017). Mohlenkamp Introduction to Numerical Methods and Matlab Programming for Engineers. Ohio: Department of Mathematics Ohio University Athens. Sachuk, Yu. V., Maksymuk, O. V. (2017). Analysis of the stress-strain state of a body under the action of rigid punches of different shapes. Journal of Mathematical Sciences, 220(2), 204-212. DOI https://doi.org/10.1007/s10958-016-3177-3 Sachuk, Yu. V., Maksymuk, O. V. (2014). Eliptychni intehraly tretoho rodu v zadachakh kontaktnoi vzaiemodii. Fizyko-matematychne modeliuvannia ta informatsiini tekhnolohii, 20, 180–187.