DOIRAVIY KESIMLI STERJENNING ELASTIK-PLASTIK BURALISH JARAYONINING MATEMATIK TAHLILI
Keywords:
doiraviy sterjen, sof buralish, elastik-plastik deformatsiya, urinma kuchlanish, burovchi moment, qattiqlashish moduli, Naday nazariyasi, qoldiq kuchlanish, plastik sharnir.Abstract
Ushbu maqolada ko‘ndalang kesimi doiraviy bo‘lgan sterjenning
sof buralish jarayonida yuzaga keladigan elastik–plastik holatlar matematik jihatdan
tahlil qilingan. Materialning elastik va plastik xususiyatlari hamda qattiqlashish effekti
hisobga olinib, urinma kuchlanishlarning kesim bo‘yicha taqsimlanishi aniqlangan.
Burovchi moment bilan burilish burchagi orasidagi bog‘lanishlar Naday nazariyasi
asosida olib chiqilgan. Shuningdek, yuklanish va yuksizlanish jarayonlarida hosil
bo‘ladigan qoldiq kuchlanishlar va qoldiq burilish burchaklari uchun analitik ifodalar
keltirilgan.
References
1.
Ismayilov K. Materiallar qarshiligi. Darslik, Potsdam (Gyemaniy) Lambyert
Academic Publishing 2021. 598 b.
2.
Nadai A. Theory of Flow and Fracture of Solids. — New York: McGraw-Hill,
1950. — Vol. 1.
3.
Ильюшин А.А. Пластичность. — М.: Гостехиздат, 1948. — 376 с.
4.
Belyaev A.K., Altenbach H., Eremeyev V.A. Nonlinear torsion of rods made
of elastoplastic materials // Continuum Mechanics and Thermodynamics. — 2018.
— Vol. 30. — pp. 1–15.
5.
Khudoynazarov, Jamshid N. Abdurazakov, Dilshod Kholikov. Nonlinear
torsional vibrations under the action of impact from the end of the rod. AIP Conf.
Proc. 3177, 050014 (2025) https://doi.org/10.1063/5.0295371
6.
Erofeev V.I., Lampsey B.B. Nonlinear mathematical model of an elastic rod
undergoing torsional vibrations, taking into account the deplanation of the cross section
