Abstract
PurposeThe purpose of this paper is to propose a new approach to further obtain reduced Hamiltonian equations for certain nonlinear cases of finite amplitude.Design/methodology/approachChebyshev polynomials are introduced to best approximate the primitive exact wave equations.FindingsNew results are derived for certain nonlinear cases of finite amplitude. Furthermore, ranges of applicability are determined in conjunction with the error analyses for various cases. In particular, the new structure can give a new highly accurate formula for determining the wave forces of the offshore structures.Originality/valueNew reduced Hamiltonian equations for nonlinear surface gravity waves have been derived for certain cases of finite amplitude for the first time. And the new structure can give a new highly accurate formula for determining the wave forces of offshore structures. These results extend the usual results for weakly nonlinear surface waves to nonlinear surface waves over certain finite ranges.
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 callMore From: Multidiscipline Modeling in Materials and Structures
Disclaimer: 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.
