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IssuesArchive of Issues2001-6pp.76-83

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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
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