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Combination Resonances and Their Bifurcations in the Nonlinear Vibromachines with a Polynomial Characteristic of Restoring Force and Periodic Excitation

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Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 139))

Abstract

In this article main attention is paid to special cases of combination resonances, namely, low order sub- and superharmonic ones.

Mathematical models of the nonlinear machines of one mass schemes (screening, concentration tables, transporting machines) with polynomial characteristics of restoring and dissipative forces and periodic excitation are under consideration. Their dynamics in the zones of sub- and superharmonic resonances are studied. By numerical simulation and with the usage of original software the analysis of the spectral and phase composition of the oscillations is performed, the main types of bifurcations of the stationary regimes are allocated, the role of the biharmonic part of the excitation is discovered.

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References

  1. Bykhovskiy, I.I.: New Directions in Developing of Vibromachines for Machine-Molding of the Iron-Concrete and Concrete Products, 50 p. CNIITE stroymash, Moscow (1972) (in Russian)

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Correspondence to V. N. Belovodskiy .

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Belovodskiy, V.N., Sukhorukov, M.Y. (2011). Combination Resonances and Their Bifurcations in the Nonlinear Vibromachines with a Polynomial Characteristic of Restoring Force and Periodic Excitation. In: Náprstek, J., Horáček, J., Okrouhlík, M., Marvalová, B., Verhulst, F., Sawicki, J. (eds) Vibration Problems ICOVP 2011. Springer Proceedings in Physics, vol 139. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2069-5_32

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  • DOI: https://doi.org/10.1007/978-94-007-2069-5_32

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-2068-8

  • Online ISBN: 978-94-007-2069-5

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

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