Power characteristics of dual frequency spherical pendulum oscillations in an inhomogeneous field of forces

Authors

  • Николай Тимофеевич Малафаев Kharkiv State University of Food Technology and Trade 333 Klochkivska str., Kharkiv, Ukraine, 61051, Ukraine https://orcid.org/0000-0002-1829-089X

DOI:

https://doi.org/10.15587/2313-8416.2015.51842

Keywords:

water molecule, spherical pendulum, inhomogeneous field of forces, phase trajectories, Fourier – analysis

Abstract

It is conducted an analysis of two-dimensional rotational oscillations of water molecules using a dual frequency model of a spherical pendulum in an inhomogeneous field of forces. It is considered a frequency dynamics in the transition from independent two-dimensional rotational oscillations to the rotation at the same frequency. It is shown that the pendulum frequency matching due to the presence of the field of forces that is directed and angularly inhomogeneous. Fourier - analysis of the orbits is done

Author Biography

Николай Тимофеевич Малафаев, Kharkiv State University of Food Technology and Trade 333 Klochkivska str., Kharkiv, Ukraine, 61051

Docient

Department of Energetic and Physic

References

Antonchenko, V. Ya, Davydov, А. S, Iliin, V. V. (1991). Оsnovy fizyky vody. Кyiv: Naukova Dumka, 672.

Eisenberg, D., Kauzmann, W. (2005). The structure and properties of water. Oxford University press, 308.

Malenkov, G. G. (2006). Structure and dynamics of liquid water /Journal structural chemistry, 47, 5–35.

Kumar, P., Franzese, G., Buldyrev, S. V., Stanley, H. E. (2006). Molecular dynamics study of orientational cooperativity in water. Physical Review E, 73 (4), 041505. doi: 10.1103/physreve.73.041505

Voloshin, V. P., Malenkov, G. G., Naberukhin, Yu. I. (2013). Collective motions in computer models of water. large-scale and long-time correlations. Journal of Structural Chemistry, 54 (S2), 233–251. doi: 10.1134/s0022476613080052

Маlаfаеv, N. Т. (2011). About interactions and dynamics of molecules in pure water. Eastern-European Journal of Enterprise Technologies, 4/8 (52), 48–58. Available at: http://journals.uran.ua/eejet/article/view/1465/1363

Bersuker, I. (1984). The Jahn-Teller Effect and Vibronic Interactions in Modern Chemistry. Plenum. New York, 319.

Маlаfаеv, M. Т. (2014). Obertannya molekul vodi yak ruh sferichnogo mayatnika v neodnoridnomu poli syl., 1, 291–298.

Malafayev, N., Pogozhikh, N. (2015). Features rotational of vibrations of water molecules. Eastern-European Journal of Enterprise Technologies, 2/5 (74), 27–35. doi: 10.15587/1729-4061.2015.40569

Marchukov, A. B. (1976). Proektirovanie sistem upravleniya metodami fazovoy ploskosti. Moscow: Mashinostroenie, 248.

Published

2015-10-28

Issue

Section

Physics and mathematics