Nonlinear Oscillations of a Spring Pendulum at the 1 : 1 : 2 Resonance: Theory, Experiment, and Physical Analogies

Author:

Petrov A. G.,Vanovskiy V. V.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference8 articles.

1. N. N. Bogoliubov and Yu. A. Mitropolsky, Asymptotic Methods in the Theory of Non-linear Oscillations, 2nd ed. (Fizmatgiz, Moscow, 1958; Hindustan Publ., Delhi, 1961); 4th ed. (Nauka, Moscow, 1974) [in Russian].

2. E. Fermi, “Über den Ramaneffekt des Kohlendioxyds,” Z. Phys. 71, 250–259 (1931).

3. R. I. Nigmatulin, Dynamics of Multiphase Media (Nauka, Moscow, 1987; Hemisphere Publ., New York, 1990), Vol. 1.

4. A. G. Petrov, “Rotation of the apparent vibration plane of a swinging spring at the 1: 1: 2 resonance,” Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela, No. 3, 18–30 (2017) [Mech. Solids 52, 243–253 (2017)].

5. V. V. Vanovskii and A. G. Petrov, “The resonant mechanism of subdivision of a gas bubble in a fluid,” Dokl. Akad. Nauk 444 (4), 385–389 (2012) [Dokl. Phys. 57 (6), 238–242 (2012)].

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