Dekhtyaryuk Evgeny S., Zakharchenko Tatyana G., Petryna Yuri S., Krasnopolskaya Tatyana S.
Institute 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.
Chaos. 1994 Dec;4(4):637-650. doi: 10.1063/1.166041.
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.
研究了具有非对称恢复力和一个平衡态的浅壳作为系统的稳态混沌振动。研究了模态相互作用及其对壳体混沌行为的影响。针对共振和非共振模态的响应引入了“自然”混沌和“强迫”混沌的术语。结果表明，这种定性差异对于更好地理解具有分布参数的系统中的混沌很重要，并且对于数值研究可能非常有用。还与先前关于分布式机械系统混沌的论文进行了一些定性比较。(c)1994美国物理研究所。
