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Modelirovanie i Analiz Informatsionnykh Sistem, 2014, Volume 21, Number 1, Pages 32–44
(Mi mais357)
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On One Means of Hard Excitation of Oscillations in Nonlinear Flutter Systems
S. D. Glyzina, A. Yu. Kolesova, N. Kh. Rozovb a P. G. Demidov Yaroslavl State University, Sovetskaya str., 14, Yaroslavl, 150000, Russia
b M. V. Lomonosov Moscow State University, Leninskie Gory, Moscow, 119991, Russia
Abstract:
Considered are so-called finite-dimensional flutter systems, i.e. systems of ordinary differential equations, arising from Galerkin approximations of certain boundary value problems of aeroelasticity theory as well as from a number of radiophysics applications. We study small oscillations of these equations in case of $1:3$ resonance. By combining analytical and numerical methods, it is concluded that the mentioned resonance can cause a hard excitation of oscillations. Namely, for flutter systems shown is the possibility of coexistence, along with the stable zero state, of stable invariant tori of arbitrary finite dimension as well as chaotic attractors.
Keywords:
nonlinear flutter systems, parametric external impact, hard excitation of oscillations, invariant torus, chaos.
Received: 20.01.2014
Citation:
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “On One Means of Hard Excitation of Oscillations in Nonlinear Flutter Systems”, Model. Anal. Inform. Sist., 21:1 (2014), 32–44
Linking options:
https://www.mathnet.ru/eng/mais357 https://www.mathnet.ru/eng/mais/v21/i1/p32
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Abstract page: | 283 | Full-text PDF : | 107 | References: | 53 |
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