Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936

Russian Russian English English About Journal | Issues | Guidelines | Editorial Board | Contact Us
 


IssuesArchive of Issues2001-6pp.76-83

Archive of Issues

Total articles in the database: 12804
In Russian (Èçâ. ÐÀÍ. ÌÒÒ): 8044
In English (Mech. Solids): 4760

<< Previous article | Volume 36, Issue 6 / 2001 | Next article >>
B. M. Zhirnov, "Single-frequency quasi-harmonic vibrations of a frictional self-vibratory N DOF mechanical system with delay," Mech. Solids. 36 (6), 76-83 (2001)
Year 2001 Volume 36 Number 6 Pages 76-83
Title Single-frequency quasi-harmonic vibrations of a frictional self-vibratory N DOF mechanical system with delay
Author(s) B. M. Zhirnov (Kiev)
Abstract Thomson modes of vibration are studied and calculated for a system of finitely many coupled bodies based on a moving surface, with dry friction acting between the surface and the bodies. The investigation is based on the modification of the Krylov-Bogolyubov method [1] developed by V. P. Rubanik [2]. Note that the results of the solution of similar problems obtained within the framework of various simplified formulations are presented in [3-6].
References
1.  N. N. Bogolyubov and Yu. N. Mitropol'skii, Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian], Nauka, Moscow, 1974.
2.  V. P. Rubanik, Oscillations of Quasilinear Systems with Delay [in Russian], Nauka, Moscow, 1969.
3.  B. M. Zhirnov, "On the self-excited vibrations in a 2 DOF mechanical system with delay," Prikladnaya Mekhanika, Vol. 9, No. 10, pp. 83-87, 1973.
4.  I. P. Mel'nichenko and B. M. Zhirnov, "Single-frequency self-excited vibrations of an N DOF frictional mechanical system with delay," Prikladnaya Mekhanika, Vol. 10, No. 2, pp. 120-125, 1974.
5.  B. M. Zhirnov, "Single-frequency resonance vibrations of a frictional self-oscillatory system with a delay in the external disturbance," Prikladnaya Mekhanika, Vol. 14, No. 9, pp. 102-109, 1978.
6.  B. M. Zhirnov, "Self-excited vibrations of a load on a moving conveyer belt," Dinamika i Prochnost' Mashin, No. 51, pp. 48-55, 1990.
7.  I. N. Bronshtein and K. A. Semendyaev, Handbook on Mathematics for Engineers and Students of Higher Education Establishments [in Russian], Nauka, Moscow, 1981.
8.  I. M. Babakov, Theory of Oscillations [in Russian], Nauka, Moscow, 1968.
9.  B. M. Zhirnov, "On the resonance processes in a mechanical self-vibratory system with delay," Prikladnaya Mekhanika, Vol. 35, No. 2, pp. 90-97, 1999.
Received 09 September 1999
<< Previous article | Volume 36, Issue 6 / 2001 | Next article >>
Orphus SystemIf you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter

101 Vernadsky Avenue, Bldg 1, Room 246, 119526 Moscow, Russia (+7 495) 434-3538 mechsol@ipmnet.ru https://mtt.ipmnet.ru
Founders: Russian Academy of Sciences, Ishlinsky Institute for Problems in Mechanics RAS
© Mechanics of Solids
webmaster
Rambler's Top100