ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Kovriguine D. A., Potapov A. I. Nonlinear wave dynamics of one-dimensional elastic systems. Part II. Systems with continuous spectrum. Izvestiya VUZ. Applied Nonlinear Dynamics, 1996, vol. 4, iss. 2, pp. 81-91. DOI: 10.18500/0869-6632-1996-4-2-81-91

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Language: 
Russian
Heading: 
Review of Actual Problems of Nonlinear Dynamics
Article type: 
Article
UDC: 
534.1
DOI: 
10.18500/0869-6632-1996-4-2-81-91

Nonlinear wave dynamics of one-dimensional elastic systems. Part II. Systems with continuous spectrum

Autors: 
Kovriguine Dmitrij Anatolevich, Blagonravov Mechanical Engineering Research Institute of RAS
Potapov Alexandr Ivanovich, Lobachevsky State University of Nizhny Novgorod
Abstract: 

Nonlinear interactions of normal waves are investigated in a thin rectilinear bar, which has a planar oscillations. It was shown that two types of three-wave resonant interaction exist there, which lead to increase of dynamic stress in the bar, as a result of break-up instability of high-frequency mode involved in a resonant triad. Conditions of three-frequency envelope solitons formation, self-modulation of bending wavetrains and group synchronism of short and long waves are considered.

Key words: 
-
Acknowledgments: 
The work was supported by the International Science Foundation (grant N R9B000).
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Received: 
10.12.1995
Accepted: 
20.02.1996
Published: 
21.07.1996
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