Abstract
We present the results of a numerical-analytic study for the dynamics of a vibroim-pulsive mechanism with a crank vibration generator. We show bifurcation diagrams and stability regions that let us find basic patterns in the reorganization of motion modes when the mechanism’s parameters change.
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Shilkov, V.A., Savalyuk, A.D., Metrikin, V.S., Polyakov, A.A., Shabardin, A.K., Alekhin, A.I., and Omenenko, I.Ya., Vibrotrambovka (Vibrating Ramming), USSR Inventor’s Certificate no. 1 020 479, Byull. Izobret., 1983, no. 20, 3 376 593/29-33
Metrikin, V.S. and Nikiforova, I.V., On the Theory of a Vibroimpulsive System with a Crank Vibration Generator, Vestn. Nizhnegorod. Univ. im. N.I. Lobachevskogo, 2010, no. 5(1), pp. 185–192.
Neimark, Yu.I., Metod tochechnykh otobrazhenii v teorii nelineinykh kolebanii (The Method of Point Maps in Nonlinear Oscillation Theory), Moscow: Nauka, 1972.
Feigin, M.I., Vynuzhdennye kolebaniya sistem s razryvnymi nelineinostyami (Forced Oscillations of Systems with Discontinuous Nonlinearities), Moscow: Nauka, 1994.
Schuster, H.G., Deterministic Chaos. An Introduction, Weinheim: Physik-Verlag, 1984. Translated under the title Determinirovannyi khaos. Vvedenie, Moscow: Mir, 1988.
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Original Russian Text © V.S. Metrikin, I.V. Nikiforova, 2013, published in Avtomatika i Telemekhanika, 2013, No. 8, pp. 91–102.
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Metrikin, V.S., Nikiforova, I.V. On the dynamics of systems with impact interactions with a non-analytic phase space structure. Autom Remote Control 74, 1307–1317 (2013). https://doi.org/10.1134/S0005117913080079
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DOI: https://doi.org/10.1134/S0005117913080079