Literature Cited
A. A. Andronov, Collected Works [in Russian], Izd. Akad. Nauk SSSR, Moscow (1956).
N. N. Bogolyubov and Yu. A. Mitropol'skii, Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian], Nauka, Moscow (1974).
G. Kauderer, Nonlinear Mechanics [Russian translation], IL, Moscow (1967).
Yu. A. Klikh and L. F. Vasilenko, “Resonance phenomena in a single self-oscillatory system,” in: Energy Scattering in the Case of Oscillations of Elastic Systems [in Russian], Naukova Dumka, Kiev (1968), pp. 21–24.
I. G. Malkin, Some Problems in the Theory of Nonlinear Oscillations [in Russian], GITTL, Moscow (1956).
I. I. Movshovich, “Natural oscillations of axial compressor vanes,” Tr. Mosk. Aviats. Inst. im. S. Ordzhonidkidze,172, 92–97 (1967).
S. L. Murashkin, “Induced oscillations of self-exciting systems in the case of vibrational processing of materials,” Tr. Leningr. Politekh. Inst., No. 309, 234–239 (1969).
G. Petrosyan, “The behavior of a self-oscillatory system under the action of two harmonic forces,” Zh. Tekh. Fiz.,5, No. 9, 1552–1562 (1935).
J. J. Stoker, Nonlinear Vibrations in Mechanical and Electrical Systems, Wiley (1950).
T. Hayashi, Nonlinear Oscillations in Physical Systems [Russian translation], Mir, Moscow (1952).
Additional information
Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 12, No. 10, pp. 73–80, October, 1976.
Rights and permissions
About this article
Cite this article
Koval'chuk, P.S. Nonlinear resonances in mechanical self-oscillatory systems. Soviet Applied Mechanics 12, 1040–1046 (1976). https://doi.org/10.1007/BF00885052
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00885052