| Abstract: | The objectives of this paper are to investigate the chaotic motions and internal resonance of nonlinear surface waves generated by a harmonic vibration applied to the side wall of a water-filled circular basin. The harmonic forcing consists of a component with a frequency near twice a fundamental resonance frequency of the basin and a smaller component with a frequency near the fundamental frequency. The amplitude equation for the excited eigenmode corresponding to the fundamental frequency is derived and the existence of chaotic motion of this equation is studied by Melnikov method. At certain critical radii of the basin, twice the fundamental frequency is also a resonance frequency and the so-called internal resonance takes place. Eigenmode corresponding to this resonance frequency can also be excited. |
