References
V. S. Anishchenko, Complex Oscillations in Simple Systems [in Russian], Nauka, Moscow (1990).
P. S. Koval'chuk and T. S. Krasnopol'skaya, "Resonance effects associated with nonlinear oscillations of cylindrical shells with initial imperfections," Prikl. Mekh.,15, No. 9, 100–107 (1979).
T. S. Krasnopol'skaya and A. Yu. Shvets, "Properties of chaotic oscillations of a liquid in cylindrical tanks," Prikl. Mekh.,28, No. 6, 52–58 (1992).
V. D. Kubenko, P. S. Koval'chuk, and T. S. Krasnopol'skaya, Nonlinear Interaction between Flexural Modes of Cylindrical Shells [in Russian], Naukova Dumka, Kiev (1984).
S. Ciliberto and J. P. Gollub, "Chaotic mode competition in parametrically forced surface waves," J. Fluid Mech.,158, 381–398 (1985).
J. D. Crawford and E. Knobloch, "Symmetry and symmetry-breaking bifurcations in fluid dynamics," Ann. Rev. Fluid Mech.,23, 341–387 (1991).
T. Kambe and M. Umeki, "Nonlinear dynamics of two-mode interaction in parametric excitation of surface waves," J. Fluid Mech.,139, 461–471 (1990).
E. Meron and J. Procaccia, "Low-dimensional chaos in surface waves: theoretical analysis of an experiment," Phys. Rev. A,34, 3221–3237 (1986).
J. W. Miles, "Nonlinear surface waves in closed basins," J. Fluid Mech.,75, 419–448 (1979).
J. W. Miles, "Resonant motion of a spherical pendulum," Physica D,11, 309–323 (1984).
J. W. Miles, "Nonlinear Faraday resonance," J. Fluid Mech.,146, 285–302 (1984).
J. W. Miles, "Resonantly forced surface waves in circular cylinder," J. Fluid Mech.,149, 15–31 (1984).
J. W. Miles and D. Henderson, "Parametrically forced surface waves," Ann. Rev. Fluid Mech.,22, 143–165 (1990).
Additional information
Institute of Mechanics, Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika, Vol. 29, No. 9, pp. 52–61, September, 1993.
Rights and permissions
About this article
Cite this article
Krasnopol'skaya, T.S., Shvets, A.Y. Parametric resonance in the system: Liquid in tank + electric motor. Int Appl Mech 29, 722–730 (1993). https://doi.org/10.1007/BF00847371
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00847371