Space Research Institute, Russian Academy of Sciences, Moscow 117997, Russia.
Institute of Chemical Physics, Russian Academy of Sciences, Moscow 119991, Russia.
Phys Rev E. 2017 Sep;96(3-1):032213. doi: 10.1103/PhysRevE.96.032213. Epub 2017 Sep 15.
In this work, we study resonance energy transfer from an impulsively loaded strongly nonlinear oscillator to a weakly coupled linear attachment with a slowly time-decaying stiffness. It is shown that even in the absence of external periodic forcing both oscillators may exhibit the resonance phenomenon, with the permanent response enhancement of the linear oscillator and the corresponding response reduction of the nonlinear actuator. This effect is said to be internal autoresonance. The influence of the system parameters on the emergence and stability of autoresonance is investigated both analytically and numerically.
在这项工作中，我们研究了从受脉冲加载的强非线性振荡器到弱耦合线性附件的共振能量转移，其中线性附件的刚度随时间缓慢衰减。结果表明，即使没有外部周期性激励，两个振荡器都可能表现出共振现象，导致线性振荡器的永久响应增强和非线性执行器的相应响应降低。这种效应被称为内部自共振。通过分析和数值研究，考察了系统参数对自共振出现和稳定性的影响。
