Non-stationary twisting of an elastic bar with viscoplastic external resistance

TitleNon-stationary twisting of an elastic bar with viscoplastic external resistance
Publication TypeJournal Article
Year of Publication2014
AuthorsShatsky, IP, Perepichka, VV
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2014.10.063
Issue10
SectionMechanics
Pagination63-68
Date Published10/2014
LanguageUkrainian
Abstract

The problem of non-stationary twisting of a semiendless elastic rod interacting with the medium is considered, using the model of viscoplastic friction. An exact analytical solution of the problem is obtained for an arbitrary moment of time from the beginning of a perturbation. The analysis of the obtained results for the moved part of the rod is performed.

Keywordselastic bar, external resistance, twisting
References: 

1. Nikitin L. V.  Usp. mekhaniki, 1988, 11, No 4: 53–106 (in Russian).
2. Nikitin L. V. Statics and dynamics of solids with an external dry friction, Moscwa: Mosk. Litsei, 1998 (in Russian).
3. Sultanov K. S. Izv. AN USSR. Mekhanika tv. tela, 1991, No 6: 92–101 (in Russian).
4. Ulitin G. M., Pettik Yu. V. Zb. nauk. prats. Ser. Galuzeve mashynobuduvannia, budivnytstvo, 2009, Iss. 3 (25), Vol. 2: P. 214–218 (in Russian).
5. Reiner M. The rheology, Moscow: Nauka, 1965 (in Russian).
6. Ditkin V. A., Prydnikov A. P. Handbook of operational calculus, Moscow: Vysh. shk., 1965 (in Russian).
7. Prudnikov A. P., BrychkovYu. A., Marichev O. I. Integrals and series. Special functions, Moscow: Nauka, 1983 (in Russian).