Abstract
A nonlinear theory is developed to study surface waves excited by the prescribed horizontal oscillation of the side wall of a circular basin. It is assumed that the frequency of the forced oscillation is near either one of the resonance frequencies of the water in the basin or twice of it. A multiple-scale asymptotic expansion is constructed to derive an equation for the amplitude of an excited eigenmode and critical points of some parameters are found for primary and subharmonic resonance waves. Across these critical points the eigenmode amplitude increases abruptly but remains bounded except at certain values of the water radius to the depth ratio where internal resonance appears.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
