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Four modes competition and chaos in a shell
Evgeny S. Dekhtyaryuk1, Tatyana G. Zakharchenko, Yuri S. Petryna
1Institute of Structural Mechanics, Kiev State Technical University of Civil Engineering and Architecture, Vozdukhoflotsky Ave. 31, Kiev 252037, UkraineInstitute of Mechanics, Ukrainian Academy of Sciences, Nesterov St. 3, Kiev 252057, Ukraine.
Abstract:
Steady-state chaotic vibrations of a shallow shell as a system with a nonsymmetrical restoring force and one equilibrium state are considered. Mode interaction and its effect on a chaotic behavior of the shell is studied. The terms "natural" and "imposed" chaos are introduced for the response of resonant and nonresonant modes. It is shown that such a qualitative difference is important for better understanding of chaos in systems with distributed parameters, and may be very useful for numerical investigations. Some qualitative comparisons with previous papers on chaos in distributed mechanical systems are also made. (c) 1994 American Institute of Physics.