Transfer of Energy from High-Frequency to Low-Frequency Modes in Structures

9423774对周期激励下多自由度分布参数动力系统响应中高频模式向低频模式的能量传递进行了分析和实验研究。大间隔模式之间的能量交换对于某些类型的非线性系统是通用的，并且由于可能的可怕后果，例如不稳定或混沌运动，需要完全理解。这项研究项目通过相关实验演示了能量转移现象；建立了分析模型来解释结构的大间距模式之间的相互作用，并使用它们来确定实验中观察到的能量从高频模式转移到低频模式的条件；以及使用开发的分析模型来确定可能的控制方案来抑制这些潜在的危险的能量转移。

9423774 Nayfeh An analytical and experimental investigation is conducted in to the transfer of energy from high-frequency to low- frequency modes in the responses of multi-degree of-freedom and distributed-parameter dynamic systems subjected to periodic excitations. Exchanges of energy between widely spaced modes are generic to certain classes of nonlinear systems and because of possible dire consequences, e.g., instability or chaotic motions, require a complete understanding. This research project demonstrates the energy- transfer phenomenon via relevant experiments; formulation of analytical models to explain the interactions between widely spaced modes of structures and using them to determine conditions under which energy can be transferred from high- frequency to low-frequency modes, as observed in the experiments; and the use of developed analytical models to identify possible control schemes to suppress these potentially dangerous transfers of energy.***