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

Authors

  • I. P. Shatsky
  • V. V. Perepichka

DOI:

https://doi.org/10.15407/dopovidi2014.10.063

Keywords:

elastic bar, external resistance, twisting

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.

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References

Nikitin L. V. Usp. mekhaniki, 1988, 11, No 4: 53–106 (in Russian).

Nikitin L. V. Statics and dynamics of solids with an external dry friction, Moscwa: Mosk. Litsei, 1998 (in Russian).

Sultanov K. S. Izv. AN USSR. Mekhanika tv. tela, 1991, No 6: 92–101 (in Russian).

Ulitin G. M., Pettik Yu. V. Zb. nauk. prats. Ser. Galuzeve mashynobuduvannia, budivnytstvo, 2009, Iss. 3 (25), Vol. 2: P. 214–218 (in Russian).

Reiner M. The rheology, Moscow: Nauka, 1965 (in Russian).

Ditkin V. A., Prydnikov A. P. Handbook of operational calculus, Moscow: Vysh. shk., 1965 (in Russian).

Prudnikov A. P., BrychkovYu. A., Marichev O. I. Integrals and series. Special functions, Moscow: Nauka, 1983 (in Russian).

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Published

06.03.2025

How to Cite

Shatsky, I. P., & Perepichka, V. V. (2025). Non-stationary twisting of an elastic bar with viscoplastic external resistance . Reports of the National Academy of Sciences of Ukraine, (10), 63–68. https://doi.org/10.15407/dopovidi2014.10.063

Issue

No. 10 (2014): Reports of the National Academy of Sciences of Ukraine

Section

Mechanics

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