Abstract
Forced flexural vibrations of a nonlinearly elastic cantilevered rod are considered. Forced vibrations in the vicinity of primary resonance are studied.
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Akulenko, L.D. and Nesterov, S.V., Forced Nonlinear Vibrations of a String, Izv. RAN, Mekhan. Tverd. Tela, 1996, no. 1, pp. 17–24.
Akulenko, L.D., Kostin, G.V., and Nesterov, S.V., Influence of Dissipation on Three-Dimensional Nonlinear Vibrations of a String, Izv. RAN, Mekhan. Tverd. Tela, 1997, no. 1, pp. 19–28.
Munitsyn, A.I., Three-Dimensional Nonlinear Vibrations of a Rod with Motionless Ball Bearings, Prikl. Mat. Mekhan., 2006, vol. 70,issue 1, pp. 82–90.
Munitsyn, A.I., Nonlinear Vibrations of a Fiber with an Extension Device, Izv. RAN, Mekhan. Tverd. Tela, 2001, no. 2, pp. 24–30.
Munitsyn, A.I., Three-Dimensional Nonlinear Vibrations of an Elastic Fiber with an Extension Device, Probl. Mashinostr. Nadezhn. Mash., 2001, no. 2, pp. 21–28.
Bogolyubov, N.N. and Mitropol’skii, Yu.A., Asimptoticheskie metody v teorii nelineinykh kolebanii (Asymptotic Methods in the Theory of Nonlinear Vibrations), Moscow: Nauka, 1974.
Gulyaev, V.I., Bazhenov, V.A., and Popov, S.L., Prikladnye zadachi teorii nelineinykh kolebanii mekhanicheskikh sistem (Applied Problems of the Theory of Nonlinear Vibrations of Mechanical Systems), Moscow: Vysshaya Shkola, 1989.
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Original Russian Text © A.I. Munitsyn, 2009, published in Vestnik Mashinostroeniya, 2009, No. 6, pp. 24–27.
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Munitsyn, A.I. Spatial vibrations of a nonlinearly elastic cantilever rod. Russ. Engin. Res. 29, 555–558 (2009). https://doi.org/10.3103/S1068798X09060070
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DOI: https://doi.org/10.3103/S1068798X09060070