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Short-term instability in stochastic systems

机译:随机系统中的短期不稳定性

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摘要

Dynamic systems are considered with lumped parameters which experience random temporal variations with potential short-term excursions out of the "classical" stability domain. The resulting system's response is of an intermittent nature with alternating periods of (almost) zero response and rare short outbreaks. As long as it may be impractical to discard such a system its response should be analyzed to evaluate reliability. Using parabolic approximation for parameter variations during excursions the asymptotic solution can be obtained for probability density of the response and for the first-passage problem The analysis is used also to derive on-line identification procedure for the system from observed intermittent response. Influence of nonlinearity in stiffness and damping is studied. Specific examples include galloping of elastically suspended rigid bodies in cross-flow of fluid; two-degrees-of-freedom flutter; bundles of heat exchanger tubes with potential flutter-type instability; rotordynamics.
机译:动态系统被认为具有集总参数,这些集总参数会经历随机的时间变化,并可能具有超出“经典”稳定性域的潜在短期偏移。结果系统的响应具有间歇性,交替出现(几乎)零响应和罕见的短时间爆发。只要丢弃这样的系统可能不切实际,就应该对其响应进行分析以评估可靠性。使用偏移量的抛物线逼近,可以得到响应概率密度和初次通过问题的渐近解。该分析还用于从观察到的间歇响应中导出系统的在线识别过程。研究了非线性对刚度和阻尼的影响。具体的例子包括在流体的横流中疾驰的弹性悬挂的刚体;以及两自由度颤动;潜在的颤振型不稳定的换热管束;转子动力学。

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  • 会议地点 Yerevan(AM)
  • 作者单位

    Mechanical Engineering Department, Worcester Polytechnic Institute, Worcester, MA, USA;

    Center of Mechanics and Structural Dynamics, Vienna University of Technology, Vienna, Austria;

    Information Technology Division, Worcester Polytechnic Institute, Worcester, MA , USA;

    Centre for Ships and Ocean Structures and Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway;

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