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

9423774 Nayfeh对多自由度和分布参数动态系统在周期激励下的响应中从高频到低频模式的能量转移进行了分析和实验研究。宽间隔模式之间的能量交换对于某些类别的非线性系统是通用的，并且由于可能的可怕后果，例如， 不稳定性或混沌运动，需要完全理解。该研究项目通过相关实验演示能量转移现象;制定分析模型，解释结构的宽间距模式之间的相互作用，并利用这些模型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;并利用已开发的分析模型来确定可能的控制方案，以抑制这些具有潜在危险的能源转移。

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.***