Standard

Stability of a Vertical Rod on a Vibrating Support. / Morozov, N. F.; Belyaev, A. K.; Tovstik, P. E.; Tovstik, T. P.

In: Doklady Physics, Vol. 63, No. 9, 01.09.2018, p. 380-384.

Research output: Contribution to journal › Article › peer-review

Harvard

Morozov, NF, Belyaev, AK, Tovstik, PE & Tovstik, TP 2018, 'Stability of a Vertical Rod on a Vibrating Support', Doklady Physics, vol. 63, no. 9, pp. 380-384. https://doi.org/10.1134/S1028335818090069

APA

Morozov, N. F., Belyaev, A. K., Tovstik, P. E., & Tovstik, T. P. (2018). Stability of a Vertical Rod on a Vibrating Support. Doklady Physics, 63(9), 380-384. https://doi.org/10.1134/S1028335818090069

Vancouver

Morozov NF, Belyaev AK, Tovstik PE, Tovstik TP. Stability of a Vertical Rod on a Vibrating Support. Doklady Physics. 2018 Sep 1;63(9):380-384. https://doi.org/10.1134/S1028335818090069

Author

Morozov, N. F. ; Belyaev, A. K. ; Tovstik, P. E. ; Tovstik, T. P. / Stability of a Vertical Rod on a Vibrating Support. In: Doklady Physics. 2018 ; Vol. 63, No. 9. pp. 380-384.

BibTeX

@article{fc8a6d4923e64109a747653520ec5d24,
title = "Stability of a Vertical Rod on a Vibrating Support",
abstract = "Abstract: This work contains a generalization of Kapitsa{\textquoteright}s classical problem. The stability of the vertical position of a flexible rod with a lower support point under gravity and vibrations is considered. It has been shown that an unstable position can become stable in the presence of vertical harmonic vibrations of the base. Both rigid and hinge fixing of the lower rod end are considered. In the linear approximation, the problem is reduced to transverse oscillations of the rod under the action of periodic axial compression. The solution is obtained in two formulations—taking into account the propagation of longitudinal waves in the rod and without regard for it. It turns out that longitudinal waves significantly reduce the base vibration level necessary for the stability.",
keywords = "THIN ROD",
author = "Morozov, {N. F.} and Belyaev, {A. K.} and Tovstik, {P. E.} and Tovstik, {T. P.}",
year = "2018",
month = sep,
day = "1",
doi = "10.1134/S1028335818090069",
language = "English",
volume = "63",
pages = "380--384",
journal = "Doklady Physics",
issn = "1028-3358",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "9",

}

RIS

TY - JOUR

T1 - Stability of a Vertical Rod on a Vibrating Support

AU - Morozov, N. F.

AU - Belyaev, A. K.

AU - Tovstik, P. E.

AU - Tovstik, T. P.

PY - 2018/9/1

Y1 - 2018/9/1

N2 - Abstract: This work contains a generalization of Kapitsa’s classical problem. The stability of the vertical position of a flexible rod with a lower support point under gravity and vibrations is considered. It has been shown that an unstable position can become stable in the presence of vertical harmonic vibrations of the base. Both rigid and hinge fixing of the lower rod end are considered. In the linear approximation, the problem is reduced to transverse oscillations of the rod under the action of periodic axial compression. The solution is obtained in two formulations—taking into account the propagation of longitudinal waves in the rod and without regard for it. It turns out that longitudinal waves significantly reduce the base vibration level necessary for the stability.

AB - Abstract: This work contains a generalization of Kapitsa’s classical problem. The stability of the vertical position of a flexible rod with a lower support point under gravity and vibrations is considered. It has been shown that an unstable position can become stable in the presence of vertical harmonic vibrations of the base. Both rigid and hinge fixing of the lower rod end are considered. In the linear approximation, the problem is reduced to transverse oscillations of the rod under the action of periodic axial compression. The solution is obtained in two formulations—taking into account the propagation of longitudinal waves in the rod and without regard for it. It turns out that longitudinal waves significantly reduce the base vibration level necessary for the stability.

KW - THIN ROD

UR - http://www.scopus.com/inward/record.url?scp=85054565543&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/stability-vertical-rod-vibrating-support

U2 - 10.1134/S1028335818090069

DO - 10.1134/S1028335818090069

M3 - Article

AN - SCOPUS:85054565543

VL - 63

SP - 380

EP - 384

JO - Doklady Physics

JF - Doklady Physics

SN - 1028-3358

IS - 9

ER -

ID: 36635648