Coupled vibration of oscillators and their support

In this paper, we describe the coupled vibration of oscillators mounted on a plate hanging on four strings and investigate the features of such vibration. From the experimental and numerical simulation results, the following findings were obtained. First, when the natural frequencies of oscillators and their support are almost the same, the amplitude of the support is very small. This is because the driving forces of oscillators are insufficient. In the case of two oscillators, the phase difference becomes almost 180 deg; in the case of three oscillators, it becomes almost 120 deg; in the case of four or more oscillators, it becomes variable. Second, when the support vibrates strongly, oscillators synchronize and vibrate with a corresponding phase. Sufficient driving forces of oscillators aree required for the large amplitude of the support.