Asymptotic stability boundaries for the equilibrium positions of a double pendulum with vibrating point of suspension-Reference-Cited by-同舟云学术

Asymptotic stability boundaries for the equilibrium positions of a double pendulum with vibrating point of suspension

Published:2008-07 Issue:7 Volume:44 Page:818-829
ISSN:1063-7095
Container-title:International Applied Mechanics
language:en
Short-container-title:Int Appl Mech

Author:

Slyn’ko V. I.

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mechanics of Materials

Link

http://link.springer.com/content/pdf/10.1007/s10778-008-0095-1.pdf

Reference13 articles.

1. N. N. Bautin, “Behavior of dynamic systems under small deviations from the Routh-Hurwitz stability conditions,” Prikl. Mat. Mekh., 12, No. 5, 613–632 (1948).

2. P. L. Kapitsa, “Pendulum with a vibrating suspension,” Usp. Fiz. Nauk, No. 1, 7–20 (1951).

3. Yu. A. Mitropolsky, Lectures on the Averaging Method in Nonlinear Mechanics [in Russian], Naukova Dumka, Kyiv (1966).

4. A. M. Samoilenko and N. A. Perestyuk, Differential Equations with Impulsive Effect [in Russian], Vyshcha Shkola, Kyiv (1987).

5. V. I. Slyn'ko, “Stability in critical cases of a holonomic mechanical system with two degrees of freedom subject to impacts,” Int. Appl. Mech., 44, No. 6, 683–694 (2008).

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