Abstract
Considering the finite deformation theory, the nonlinear equations of motion which govern shells of revolution are derived. As there are some cases where the Donnell equation can not be applied, the finite element method is applied to shells of revolution. The obtained nonlinear equations of motion have many unkowns, and are not expressed by normal modes. If the modal analysis procedure is applied to the equations of motion, which is equivalent to the Galerkin method, they are transformed into the equtions of motion expressed by normal modes of which degrees of freedom are selected arbitrary. In the process we can make clear the mechanism of the coupling way in nonlinear spring terms caused by the coupling of different harmonic numbers in the circumferential directions. Considering the mechanism we can forcast whether there is a nonlinear term in a system or not. So we can show the form of nonlinear equations of motion for the system.
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: Transactions of the Architectural Institute of Japan
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.
