Parametric resonance of two coupled spring oscillators driven by a periodic force combined with periodic noise

摘要

In this paper, we describe the instrumentation and theory of the parametric resonance generation of two coupled spring oscillators. We demonstrate the generation of the parametric resonance of coupled oscillators driven by a periodic force combined with periodic noise. We experimentally and theoretically investigated the parametric oscillations and resonances of coupled spring oscillators. Thus, a theoretical model and numerical solution are proposed, and the experimental results are in good agreement with the theoretical results. The experimental results demonstrate the time transition of the asynchronous oscillations of a system with a frequency of driving force (similar to 10.3 Hz) to synchronous oscillations with a frequency of similar to 5.15 Hz. Therefore, studying the two coupled spring oscillators in a laboratory where students select their own measures provides insight into both coupled and parametric oscillations. Such experiments can be discussed in class as coupled oscillations that develop toward parametric oscillations. This teaching approach enables students to study the difficult physics contents of parametric oscillations.